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Recent problems solved by 'stanbon'
stanbon answered: 57239 problems
Jump to solutions: 0..29 , 30..59 , 60..89 , 90..119 , 120..149 , 150..179 , 180..209 , 210..239 , 240..269 , 270..299 , 300..329 , 330..359 , 360..389 , 390..419 , 420..449 , 450..479 , 480..509 , 510..539 , 540..569 , 570..599 , 600..629 , 630..659 , 660..689 , 690..719 , 720..749 , 750..779 , 780..809 , 810..839 , 840..869 , 870..899 , 900..929 , 930..959 , 960..989 , 990..1019 , 1020..1049 , 1050..1079 , 1080..1109 , 1110..1139 , 1140..1169 , 1170..1199 , 1200..1229 , 1230..1259 , 1260..1289 , 1290..1319 , 1320..1349 , 1350..1379 , 1380..1409 , 1410..1439 , 1440..1469 , 1470..1499 , 1500..1529 , 1530..1559 , 1560..1589 , 1590..1619 , 1620..1649 , 1650..1679 , 1680..1709 , 1710..1739 , 1740..1769 , 1770..1799 , 1800..1829 , 1830..1859 , 1860..1889 , 1890..1919 , 1920..1949 , 1950..1979 , 1980..2009 , 2010..2039 , 2040..2069 , 2070..2099 , 2100..2129 , 2130..2159 , 2160..2189 , 2190..2219 , 2220..2249 , 2250..2279 , 2280..2309 , 2310..2339 , 2340..2369 , 2370..2399 , 2400..2429 , 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56970..56999 , 57000..57029 , 57030..57059 , 57060..57089 , 57090..57119 , 57120..57149 , 57150..57179 , 57180..57209 , 57210..57239, >>NextMiscellaneous_Word_Problems/298585: two taps can fill a bucket in 2 and 3 minutes respectively. if they are turned on together, how long will theytake to fill the bucket?
1 solutions
Answer 214740 by stanbon(57307)   on 2010-04-29 20:23:48 (Show Source):
You can put this solution on YOUR website!two taps can fill a bucket in 2 and 3 minutes respectively. if they are turned on together, how long will theytake to fill the bucket?
-------
Faster Tap DATA:
time = 2 minutes/job ; rate = 1/2 job/minutes
-------
Slower Tap DATA:
time = 3 minutes/job ; rate = 1/3 job/minutes
-------
Together DATA:
time = x minutes/job ; rate = 1/x job/minutes
--------
Equation:
rate + rate = together rate
1/2 + 1/3 = 1/x
3x + 2x = 6
5x = 6
x = 6/5 = 1.2 minutes
=========================
Cheers,
Stan H.
|
Equations/298579: im confused and i need help i need to simplify an equation 3x-6/5x-20(10x-40/27x-54) i know its not cross multiply and i did the problem 5 times and i get a different answer so i know im doing it wrong
please help
1 solutions
Answer 214737 by stanbon(57307) on 2010-04-29 20:19:51 (Show Source):
You can put this solution on YOUR website!(3x-6)/(5x-20)*(10x-40)/(27x-54)
I'm going to assume you meant the product of two rational fractions.
---------------------------------------
Factor where you can:
(3(x-2))/(5(x-4))*(10(x-4))/(27(x-2))
------
Cancel factors common to a numerator and a denominator
such as 3,5,(x-4)(x-2) to get:
= (1)/(1(1))*(2(1))/(9(1))
----
= 2/9
==============
Cheers,
Stan H.
|
logarithm/298576: write log x + log(x^2 - 4) - log 15 - log(x+2) as a single logarithmic expression.
1 solutions
Answer 214733 by stanbon(57307) on 2010-04-29 20:11:04 (Show Source):
You can put this solution on YOUR website!write log x + log(x^2 - 4) - log 15 - log(x+2) as a single logarithmic expression.
---------------------
= log[x(x^2-4)/(15(x+2)]
---
This could be simplified:
= log[x(x-2)/15]
=======================
Cheers,
Stan H.
|
Probability-and-statistics/298523: There are 60% heating equipment 25% electrical equipment and 15% plumbing equipment in a store, what is the probability that at least 3 out of 5 of the items bought are heating equipment?
1 solutions
Answer 214728 by stanbon(57307) on 2010-04-29 20:08:20 (Show Source):
You can put this solution on YOUR website!There are 60% heating equipment 25% electrical equipment and 15% plumbing equipment in a store, what is the probability that at least 3 out of 5 of the items bought are heating equipment?
------------------------
P(heating) = 0.6
n = 5
x = 3<= x <=5
-------------------
P(3<= x <=5) = 1 - binomcdf(5,0.6,2) = 0.6826
=================================================
Cheers,
Stan H.
|
Travel_Word_Problems/298546: if a person walks three miles per hour and are four miles from their destination who long will it take them to reach the destination
1 solutions
Answer 214719 by stanbon(57307) on 2010-04-29 19:36:43 (Show Source):
You can put this solution on YOUR website!if a person walks three miles per hour and are four miles from their destination who long will it take them to reach the destination
----
time = distance/rate
time = 4 mi/3 mph
time = 4/3 hour
time = 1 hr 20 min
==========================
Cheers,
Stan H.
|
Miscellaneous_Word_Problems/298531: There are 720 dishes that need to be rinsed. John can rinse them in 144 minutes by himself. It will take his friend Bob 72 minutes to rinse these dishes. How long will it take them if they rinse these 720 dishes together?
1 solutions
Answer 214717 by stanbon(57307) on 2010-04-29 19:34:42 (Show Source):
You can put this solution on YOUR website!There are 720 dishes that need to be rinsed. John can rinse them in 144 minutes by himself. It will take his friend Bob 72 minutes to rinse these dishes. How long will it take them if they rinse these 720 dishes together?
--------
John rate = 1/144 job/min
Bob rate = 1/72 job/min
-----
Together rate = 1/x job/min
===============================
Equation:
rate + rate = together rate
1/144 + 1/72 = 1/x
----
Multiply thru by 144x to get:
x + 2x = 144
3x = 144
x = 48 minutes (time for them to do the job together.
========================
Cheers,
Stan H.
|
Quadratic_Equations/298534: Write a quadratic equation having the given numbers as solutions.
2/3, 9/5
1 solutions
Answer 214715 by stanbon(57307) on 2010-04-29 19:29:32 (Show Source):
You can put this solution on YOUR website!Write a quadratic equation having the given numbers as solutions.
2/3, 9/5
x = 2/3 or x = 9/5
3x-2 = 0 or 5x-9 = 0
---------------------------
Multiply the two equations to get:
(3x-2)(5x-9) = 0
------------------------
Let the expression be an equation that equals zero when x = 2/3 or x = 9/5.
Let y = (3x-2)(5x-9)
Then y = 15x^2-37x + 18
===============================
Cheers,
Stan H.
===============================
|
Quadratic_Equations/298537: I seriously need help with quadratic formulas. please help.
-55x+30=50x2
1 solutions
Answer 214713 by stanbon(57307) on 2010-04-29 19:25:09 (Show Source):
You can put this solution on YOUR website!-55x+30=50x2
---
Rearrange:
50x^2 + 55x - 30 = 0
---
Divide thru by 5 to get:
10x^2 + 11x - 6 = 0
---
a = 10, b = 11, c = -6
----
Formula: x = [-b +- sqrt(b^2-4ac)]/(2a)
---
x = [-11 +- sqrt(121 - 4*10*-6)]/(20)
---
x = [-11 +- sqrt(361)]/(20)
---
x = [-11 + 19]/(20) or x = [-11 - 19]/(20)
---
x = (8/20) or x = -3/2
---
x = 2/5 or x = -3/2
==============================
Cheers,
Stan H.
|
Triangles/298539: The square and the equilateral triangle at the right have the same perimeter. Find the length of the sides of the triangle
1 solutions
Answer 214711 by stanbon(57307) on 2010-04-29 19:19:27 (Show Source):
|
Length-and-distance/298529: if the ratio of something is 1 to 1.9 and its 25 sqaure feet whats the length and height of the object
1 solutions
Answer 214710 by stanbon(57307) on 2010-04-29 19:18:20 (Show Source):
You can put this solution on YOUR website!if the ratio of something is 1 to 1.9 and its 25 sqaure feet whats the length and height of the object
-------------------
1 to 1.9 is the same as 1x to 1.9x
---
Assuming you are taking about the ratio of length to width you get:
Area = (1x)(1.9x)
1.90x^2 = 25
x = 5/sqrt(1.9) ft
----
Length = 5/sqrt(1.9) is approximately 3.627 ft
Width = 1.9[5/sqrt(1.9)] is approximately 6.8920 ft
========================================================
Cheers,
Stan H.
|
Finance/298487: A man travels from Town X to Town Y at an average rate of 60 mph and returns at an average rate of 50 mph. He takes a 1/2 hour longer than he would take if he made the round trip at an average of 55 mph. What is the distance from Town X to Town Y?
1 solutions
Answer 214697 by stanbon(57307) on 2010-04-29 18:25:22 (Show Source):
You can put this solution on YOUR website!A man travels from Town X to Town Y at an average rate of 60 mph and returns at an average rate of 50 mph. He takes a 1/2 hour longer than he would take if he made the round trip at an average of 55 mph. What is the distance from Town X to Town Y?
---------
To-trip DATA:
distance = d miles ; rate = 60 mph ; time = d/60 hrs
----------------------
From-trip DATA:
distance = d miles ; rate = 50 mph ; time = d/50 hrs
----------------------
Round-trip DATA:
distance = 2d miles ; rate = 55 mph ; time = (2d)/55 hrs
-----------------------------------------------------------
Equation:
Roundtrip time - other time = -1/2 hr
(2d)/55 - [(d/60)+(d/50)] = -1/2
(2d)/55 - [(110d)/(50*60)] = -1/2
---
600(2d) - 11[110d] = -16500
1200d - 1210d = -16500
-10d = -16500
distance = 1650 miles
===========================
Cheers,
Stan H.
===========================
|
Functions/298476: I'm having trouble with writing the inverse of a the function f(x)=e^(x-2). I've plugged in given plotting points of x= -6, -4, -2, 0, 2, 4, and 6. For the inverse, do I write x=lne^(y-2) and bring my exponent to the front of ln? Thank you in advance for your help.
Part 2: is my vertical asymptote 2 for the inverse?
-Courtney
1 solutions
Answer 214684 by stanbon(57307) on 2010-04-29 17:45:49 (Show Source):
You can put this solution on YOUR website!I'm having trouble with writing the inverse of a the function f(x)=e^(x-2). I've plugged in given plotting points of x= -6, -4, -2, 0, 2, 4, and 6. For the inverse, do I write x=lne^(y-2) and bring my exponent to the front of ln? Thank you in advance for your help.
--------------
Note: The asymptote for y = e^(x-2) is a horizontal axis; it is
y = 0. The (x-2) moves the graph 2 to the right but does not change
the horizontal asymptotel
---------------
To find the inverse proceed as follows:
f(x)=e^(x-2)
Interchange x and y to get:
x = e^(y-2)
Now solve for "y":
ln(x) = y-2
y = ln(x)+2 is the inverse
---
Part 2: is my vertical asymptote 2 for the inverse?
The asymptote is now a vertical asymptote. The 2 raises
the curve but that has no effect on a vertical asymptote.
Just as the horizontal asymptote on the function was y = 0,
the inverse has a vertical asymptote and it is x = 0
=================================================
Cheers,
Stan H.
==================================
|
Geometry_Word_Problems/298474: If the length and width of a rectangle are each increased by ten percent, then the perimeter of the rectangle is increased by what percent?
1 solutions
Answer 214680 by stanbon(57307) on 2010-04-29 17:35:07 (Show Source):
You can put this solution on YOUR website!If the length and width of a rectangle are each increased by ten percent, then the perimeter of the rectangle is increased by what percent?
-------------
Perimeter = 2(L + W)
---
New Perimeter = 2(1.1L + 1.1W)
---
New Perimeter = 2(1.1)(L+W)
NP = 2.2(L+W) = 2(L+W) + 0.2(L+W)
-----
The increase is 0.20 = 20%
==============================
Cheers,
Stan H.
==============================
|
Triangles/298429: A triangle has one 45 degree angle and one 65 degree angle.Which is the measure of the triangles third angle
1 solutions
Answer 214679 by stanbon(57307) on 2010-04-29 17:29:55 (Show Source):
You can put this solution on YOUR website!A triangle has one 45 degree angle and one 65 degree angle.Which is the measure of the triangles third angle
-------------------------------
Fact: The sum of the angles of a triangle = 180 degrees
----
Equation:
45 + 65 + x = 180
110 + x = 180
x = 70 degrees
===============
Cheers,
Stan H.
|
Average/298422: write an algorithm to find the average score on five quiz and determine if the average is less than 60
1 solutions
Answer 214670 by stanbon(57307) on 2010-04-29 16:40:07 (Show Source):
You can put this solution on YOUR website!write an algorithm to find the average score on five quiz and determine if the average is less than 60
-----------
(a+b+c+d+e)/5 < 60 where a,b,c,d,e are the 5 scores
===============================
Cheers,
Stan H.
|
Percentage-and-ratio-word-problems/298355: For a research study, a biologist collected a sample of 203 plants, fish, and insects from a stream. There were 1/4 as many insects as there were fish in the sample. There were 1/5 as many plants as there were fish in the sample. How many fish were collected? A) 14 fish B)63 fish C)77 fish D)140 fish
1 solutions
Answer 214652 by stanbon(57307) on 2010-04-29 14:08:56 (Show Source):
You can put this solution on YOUR website!For a research study, a biologist collected a sample of 203 plants, fish, and insects from a stream.
Equations:
p + f + i = 203
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There were 1/4 as many insects as there were fish in the sample.
i = (1/4)f
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There were 1/5 as many plants as there were fish in the sample.
p = (1/5)f
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How many fish were collected?
---
Substitute for i and p, then solve for "f".
(1/5)f + (1/4)f + f = 203
---
Multiply thru by 20 to get:
4f + 5f + 20f = 4060
29f = 4060
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# of fish = 140
===================
Cheers,
Stan H.
A) 14 fish B)63 fish C)77 fish D)140 fish
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Quadratic_Equations/298352: Need Help!!! use the discriminant to determine whether the following equations have solutions that are: two different rational solutions; two different irrational solutions; exactly one rational solution; or two different imaginary solutions.
s^2-5s-6=0
1 solutions
Answer 214651 by stanbon(57307) on 2010-04-29 13:56:38 (Show Source):
You can put this solution on YOUR website!use the discriminant to determine whether the following equations have solutions that are: two different rational solutions; two different irrational solutions; exactly one rational solution; or two different imaginary solutions.
s^2-5s-6=0
----
a = 1 ; b = -5 ; c = -6
--------
b^2-4ac = 25 - 4*1*-6 = 49
---
Since 49 is positive there are two different Real solutions.
---
The discriminant does not quarantee the solutions
will be rational, only that they will be Real.
================================================
Cheers,
Stan H.
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Mixture_Word_Problems/298345: how much soil containing 45% sand do you need to add to 1 ft3 of soil containing 15% sand in order to make a soil containing 35%?
1 solutions
Answer 214649 by stanbon(57307) on 2010-04-29 13:51:47 (Show Source):
You can put this solution on YOUR website!how much soil containing 45% sand do you need to add to 1 ft3 of soil containing 15% sand in order to make a soil containing 35%?
-------
Equation:
sand + sand = sand
0.45x + 0.15*1 = 0.35(x+1)
---
Multiply thru by 100:
45x + 15 = 35x + 35
10x = 10
x = 1 ft^3 (amount of 45% soil needed for the mixture)
================
Cheers,
Stan H.
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Quadratic-relations-and-conic-sections/298346: If a right circular cone intersects a plane that runs parallel to the edge of the cone, the resulting curve will be a(n) _____.
A. hyperbola
B. circle
C. ellipse
D. parabola
1 solutions
Answer 214648 by stanbon(57307) on 2010-04-29 13:46:12 (Show Source):
You can put this solution on YOUR website!If a right circular cone intersects a plane that runs parallel to the edge of the cone, the resulting curve will be a(n) _____.
Ans: A
---
Cheers,
Stan H.
=================
A. hyperbola
B. circle
C. ellipse
D. parabola
0 solutions
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Circles/298347: what is the area of the largest circle that will fit in a square with area 64 square centimeters and how to find the answer?
1 solutions
Answer 214647 by stanbon(57307) on 2010-04-29 13:41:59 (Show Source):
You can put this solution on YOUR website!what is the area of the largest circle that will fit in a square with area 64 square centimeters and how to find the answer?
---------
Draw the picture.
The diameter = a side of the square = 8 cm
---
radius = 4 cm
---
Area = (pi)4^2 = 16(pi)cm^2
==============================
Cheers,
Stan H.
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Permutations/298289: If any two points determine a line, how many lines are determined by seven points in a plane, no three of which are collinear?
1 solutions
Answer 214629 by stanbon(57307) on 2010-04-29 11:19:49 (Show Source):
You can put this solution on YOUR website!If any two points determine a line, how many lines are determined by seven points in a plane, no three of which are collinear?
----------
Each pair of points determines one line.
There are 7C2 = 7*6/1*2 = 21 pairs so 21 lines are determined
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Cheers,
Stan H.
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Miscellaneous_Word_Problems/298288: The polynomial 0.041h-0.018a-2.69 can be used to estimate the lung capacity, in liters, of a female with height h, in centimeters, and age a, in years. Find the lung capacity of a 50 year old women who is 170 centimeters tall.
Her lung capacity is_ liters?
I am not sure how to solve this polynomial.
1 solutions
Answer 214628 by stanbon(57307) on 2010-04-29 11:17:23 (Show Source):
You can put this solution on YOUR website!The polynomial 0.041h-0.018a-2.69 can be used to estimate the lung capacity, in liters, of a female with height h, in centimeters, and age a, in years.
Find the lung capacity of a 50 year old women who is 170 centimeters tall.
Her lung capacity is_ liters?
I am not sure how to solve this polynomial.
--------------
Substitute and solve:
lung cap = 0.041h-0.018a-2.69
---
lungcap = 0.041*170 - 0.018*50 - 2.69
Use your caluculato to get:
---
lungcap = -1.193
====
That answer does not make much sense.
Please check you post for accuracy.
Cheers,
Stan H.
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Probability-and-statistics/298272: Can anybody HELP! with these questions, Greatly appreciated. Thank You All.
A) What role does a sample play in determining the point estimate? Let's say we're trying to determine the average age of a town; how might we use a sample to do this?
B)What is a confidence interval centered on? How do we determine its width? What role does the level of confidence play?
If α = 0.10, and we have a one-tailed situation, what would be the critical value? What would be the corresponding critical region?
C)"Level of confidence"
What does the level of confidence tell us about a confidence interval? What are typical values of the level of confidence?
Let's say we're trying to prove that the population mean is greater than 15. What would be the null hypothesis?
D) "Type 1 error"
Assume that the analysis was conducted properly; why was the null hypothesis rejected, even though it is true?
E) "Critical region"
α is the likelihood of a Type I error. How do we calculate the critical value, knowing α?
F)What is the relationship between the maximum error of estimate and the width of a confidence interval? How is the maximum error of estimate calculated?
1 solutions
Answer 214626 by stanbon(57307) on 2010-04-29 10:38:40 (Show Source):
You can put this solution on YOUR website!A) What role does a sample play in determining the point estimate? Let's say we're trying to determine the average age of a town; how might we use a sample to do this?
Take a random sample and find the average of the people in the sample.
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B)What is a confidence interval centered on?
It is centered on the mean of a sample.
--------------------------------------------
How do we determine its width?
The width is 2 times the standard error
--------------------------------------------
What role does the level of confidence play?
More confidence requires a wider confidence interval.
--------------------------------------------
If α = 0.10, and we have a one-tailed situation, what would be the critical value?
z = 1.2816..
--------------------
What would be the corresponding critical region?
10%
---------------------
C)"Level of confidence"
What does the level of confidence tell us about a confidence interval?
We have a certain confidence that a population parameter is between
such and such numbers.
-------------------------------
What are typical values of the level of confidence?
95%,99%
----------------------
Let's say we're trying to prove that the population mean is greater than 15. What would be the null hypothesis?
Ho: u <= 15 because equality must ALWAYS be stated in Ho.
----------------------
D) "Type 1 error"
Assume that the analysis was conducted properly; why was the null hypothesis rejected, even though it is true?
Type I error is the probability Ho is rejected when in fact it is true.
----------------------
E) "Critical region"
α is the likelihood of a Type I error. How do we calculate the critical value, knowing α?
Find the z or t value(s) that is the boundary for the reject tail(s).
----------------------
F)What is the relationship between the maximum error of estimate and the width of a confidence interval?
The width of the interval is two times the max error of estimate.
------------------------------------------------------
How is the maximum error of estimate calculated?
ME = z*(std) where z depends on the level of confidence
================
Cheers,
Stan H.
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Numbers_Word_Problems/298264: How do you solve:
If a number is added to the numerator of 5/7 and twice as much is subtracted from the denominator, the result is 8. What is the number?
Thank you!
1 solutions
Answer 214622 by stanbon(57307) on 2010-04-29 10:00:48 (Show Source):
You can put this solution on YOUR website! How do you solve:
If a number is added to the numerator of 5/7 and twice as much is subtracted from the denominator, the result is 8. What is the number?
---
Let the number be "x":
Equation:
(5+x)/(7-2x) = 8
----
Cross-multiply:
5+x = 8(7-2x)
5+x = 56 - 16x
17x = 51
x = 3
===============
Cheers,
Stan H.
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logarithm/298263: Evaluate
2. Ln e^3x ( 3x is the exponent)
1 solutions
Answer 214620 by stanbon(57307) on 2010-04-29 09:52:53 (Show Source):
You can put this solution on YOUR website! Evaluate
2. Ln e^3x ( 3x is the exponent)
Fact: ln(x) =k means e^k = x
ln(x) is the exponent you put on e so you get the number "x".
---------------------------
Your Problem:
ln(e^(3x)) = 3x
=========================
Cheers,
Stan H.
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Graphs/298253: Find the exact value of the volume of a can of asparagus with a diameter 6 centimeters and height of 10 centimeters. Include correct units with your solution. Use "pi" for p.
1 solutions
Answer 214616 by stanbon(57307) on 2010-04-29 09:30:21 (Show Source):
You can put this solution on YOUR website!Find the exact value of the volume of a can of asparagus with a diameter 6 centimeters and height of 10 centimeters. Include correct units with your solution. Use "pi" for p.
---
Volume = Bh where B is the area of the base and h is the height.
B = (pi)(6/2)^2 = 9pi cm^2
---
V = (9)(10)= cm^3
=====================
Cheers,
Stan H.
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Probability-and-statistics/298234: A brain of water softener salt comes in package marked net weight 40 lb. The company that packages it claims that the bag contains an average of 40lb of salt and the standard deviation of the weight is 1.5lb. Assume that the weights are normally distributed.
a. Obtain the probability that the weight of one randomly selected bag of water-softener salt will be 39 lb or less if the company's claim is true.
b. determine the probability that the mean weight of 10 randomly selected bags of water-softener salt will be 39 lb or les if the company's claim is true.
c. I you bought one bag of water-softener salt and it weighed 39 lb, would you consider this evidence that the company's claim is incorrect? Explain your answer.
d. If you bought 10 bags of water-softener salt and their mean weight was 39 lb, would you consider this evidence that the company's claim is incorrect? Explain your answer.
1 solutions
Answer 214611 by stanbon(57307) on 2010-04-29 09:12:23 (Show Source):
You can put this solution on YOUR website!A brand of water softener salt comes in package marked net weight 40 lb. The company that packages it claims that the bag contains an average of 40lb of salt and the standard deviation of the weight is 1.5lb. Assume that the weights are normally distributed.
a. Obtain the probability that the weight of one randomly selected bag of water-softener salt will be 39 lb or less if the company's claim is true.
Find the z-value of 39 using u = 40 and sigma = 1.5:
z(39) = (39-40)/1.5 = -1/1.5 = -2/3
-------
Then find the probability z< -2/3
P(z, -2/3) = normalcdf(-100,-2/3) = 0.2525
------------------------------------
b. determine the probability that the mean weight of 10 randomly selected bags of water-softener salt will be 39 lb or less if the company's claim is true.
Find the t-value of 39 using u = 40 and s = 1.5/sqrt(10):
t(39) = (39-40)/[1.5/srt(10)] = -2.1082
Then find the probaility t< -2.1082 when df = 9
P(t< -2.1082 with df = 9) = tcdf(-100,-2.1082,9) = 0.0321
-----------------------------------------
c. If you bought one bag of water-softener salt and it weighed 39 lb, would you consider this evidence that the company's claim is incorrect? Explain your answer.
Determine the z-value of 39 as a number of standard deviations away from
the mean using sigma = 1.5.
z(39) = -2/3
Make your decision.
The weight of the bag is 2/3 of a standard devation below the mean weight.
That is not unusual; the company's claim might still be correct.
-----------------------------------
d. If you bought 10 bags of water-softener salt and their mean weight was 39 lb, would you consider this evidence that the company's claim is incorrect? Explain your answer.
t(39) is more than 2 standard deviations below the mean. That is significant.
The company's claim may be incorrect.
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Cheers,
Stan H.
============================
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