Tutors Answer Your Questions about Probability-and-statistics (FREE)
Question 1196685: For a set of data: x = (0,1,2,3,4,5,6) and y=(36, 28, 25, 24, 23, 21, 19), is it wise to use a linear regression to extrapolate data for x = 50?
Proposed Solution:
Since the coefficient of determination is 0.8582, the linear model is a reasonably good fit for the data, so extrapolation for any x-value is acceptable.
What is wrong with the proposed solution?
A. As the extrapolation value gets farther away from the known data points,
the accuracy diminishes. An x-value of x = 50 is far too distant from the
known data to obtain accurate results.
B. It is possible that other models (non-linear models) would have a
coefficient of determination closer to 1.0, and therefore be a better model
to make predictions from.
C. The coefficient of determination is a measure used to gauge the relative
effectiveness of different data models, not as an indication of the accuracy
of distant extrapolation.
D. Choices A, B, and C are all valid of the incorrectness of the proposed
solution.
E. The proposed solution is correct
Click here to see answer by ikleyn(52752)  |
Question 1196727: A jury pool has 21 people that are married and 20 people that are not married, from which 12 jurors will be selected. Assuming that each person is equally likely to be chosen and that the jury is selected at random, find the probability that the jury consists of the following:
- 8 married and 4 that are not married.
- 6 married and 6 that are not married.
Click here to see answer by ikleyn(52752)  |
Question 1196726: A jury pool has 21 people that are married and 20 people that are not married, from which 12 jurors will be selected. Assuming that each person is equally likely to be chosen and that the jury is selected at random, find the probability that the jury consists of the following.
Click here to see answer by ikleyn(52752)  |
Question 1196735: Test the given claim. Assume that a simple random sample is selected from a normally distributed population. Use either the P-value method or the traditional method of testing hypotheses.
Company A uses a new production method to manufacture aircraft altimeters. A simple random sample of new altimeters resulted in errors listed below. Use a 0.05 level of significance to test the claim that the new production method has errors with a standard deviation greater than 32.2 ft, which was the standard deviation for the old production method. If it appears that the standard deviation is greater, does the new production method appear to be better or worse than the old method? Should the company take any action?
-40
76
-21
-70
-40
11
15
52
-9
-51
-108
-108
Find the test statistic.
Click here to see answer by math_tutor2020(3816) |
Question 1196734: In a study of 805 randomly selected medical malpractice lawsuits, it was found that 495 of them were dropped or dismissed. Use a 0.01 significance level to test the claim that most medical malpractice lawsuits are dropped or dismissed.
Click here to see answer by math_tutor2020(3816) |
Question 1196734: In a study of 805 randomly selected medical malpractice lawsuits, it was found that 495 of them were dropped or dismissed. Use a 0.01 significance level to test the claim that most medical malpractice lawsuits are dropped or dismissed.
Click here to see answer by ewatrrr(24785)  |
Question 1196751: Find the z-score location of a vertical line that separates a normal distribution as described in each of the
following.
a. 5% in the tail on the left
b. 30% in the tail on the right
c. 65% in the body on the left
d. 80% in the body on the right
Click here to see answer by ewatrrr(24785)  |
Question 1196755: Classify each of the following variables as either Qualitative, Discrete Quantitative, or Continuous Quantitative:
a. Weight of an automobile
b. Candidate an American voted for in the 2016 election
c. Number of "close friends" a person reports having
Click here to see answer by math_tutor2020(3816) |
Question 1196756: All runners in the 2005 Fox Cities Half Marathon had a mean finishing time of 137 minutes and a standard deviation of 30 minutes. All runners in the 2005 Chicago Marathon had a mean finishing time of 266 minutes and a standard deviation of 48 minutes.
1. Herschel ran in both races - completing the Fox Cities Half Marathon in 88 minutes and the Chicago Marathon in 214 minutes. In which race did he run better relative to the other finishers in each race?
2. The finishing times for the Chicago Marathon had a bell-shaped distribution. What percent of the finishers would be expected to have finishing times above 170 minutes?
Click here to see answer by math_tutor2020(3816) |
Question 1196769: A survey of 52 U.S. supermarkets yielded the following relative frequency table, where X is the number of checkout lanes at a randomly chosen supermarket.
x 1 2 3 4 5 6 7 8 9 10
P(X = x)
0.01 0.02 0.02 0.10 0.10 0.15 0.25 0.20 0.10 0.05
(a)
Compute 𝜇 = E(X). HINT [See Example 3.]
E(X) =
Interpret the result.
This was the most frequently observed number of checkout lanes in surveyed supermarkets.
There were, on average, this many checkout lanes in a supermarket that was surveyed.
There were at least this many checkout lanes in each supermarket that was surveyed.
There were at most this many checkout lanes in each supermarket that was surveyed.
Correct: Your answer is correct.
(b)
Find
P(X < 𝜇) or P(X > 𝜇).
P(x < 𝜇)
=
P(x > 𝜇)
=
Interpret the result.
Then
P(x > 𝜇)
is
greater than
Correct: Your answer is correct.
P(x < 𝜇).
Thus, most supermarkets have
more than
Correct: Your answer is correct.
the average number of checkout lanes.
Click here to see answer by ewatrrr(24785)  |
Question 1196772: A survey of 52 U.S. supermarkets yielded the following relative frequency table, where X is the number of checkout lanes at a randomly chosen supermarket.
x 1 2 3 4 5 6 7 8 9 10
P(X = x)
0.01 0.02 0.02 0.10 0.10 0.15 0.25 0.20 0.10 0.05
(a)
Compute 𝜇 = E(X). HINT [See Example 3.]
E(X) =
Click here to see answer by ikleyn(52752)  |
Question 1196773: x = 27
n = 200
Ho: p = 10%
HA: p > 10%
α = 0.01
Test statistic: z = 1.6499
p-value = 0.0495
Reject Ho in favor of HA
There is enough evidence to show that the proportion is significantly greater than 10%.
Test statistic: z = 1.6499
p-value = 0.0495
Fail to reject Ho
There is not enough evidence to show that the proportion is significantly greater than 10%.
Test statistic: z = 1.6499
p-value = 0.0086
Reject Ho in favor of HA
There is enough evidence to show that the proportion is significantly greater than 10%.
Test statistic: z = 1.6499
p-value = 0.0086
Fail to reject Ho
There is not enough evidence to show that the proportion is significantly greater than 10%.
Click here to see answer by ewatrrr(24785)  |
Question 1196778: Question # 8: Review Part 2: Hypothesis Testing: Find test statistic and p-value and make conclusion for a mean (using T-Test).
x= 137
s = 14.2
n = 20
Ho: μ = 132
H subscript A colon space mu not equal to 132
α = 0.1
Test statistic: t = 1.57
p-value = 0.1318
Reject Ho in favor of HA
There is enough evidence to show that the mean is significantly different from 132.
Test statistic: t = 1.57
p-value = 0.1318
Fail to reject Ho
There is not enough evidence to show that the mean is significantly different from 132.
Test statistic: t = 1.57
p-value = 0.0582
Reject Ho in favor of HA
There is enough evidence to show that the mean is significantly different from 132.
Test statistic: t = 1.57
p-value = 0.0582
Fail to reject Ho
There is not enough evidence to show that the mean is significantly different from 132.
Click here to see answer by math_tutor2020(3816) |
Question 1196767: A survey of 52 U.S. supermarkets yielded the following relative frequency table, where X is the number of checkout lanes at a randomly chosen supermarket.
x 1 2 3 4 5 6 7 8 9 10
P(X = x)
0.01 0.02 0.02 0.10 0.10 0.15 0.25 0.20 0.10 0.05
(a)
Compute 𝜇 = E(X). HINT [See Example 3.]
E(X) =
Interpret the result.
This was the most frequently observed number of checkout lanes in surveyed supermarkets.
There were, on average, this many checkout lanes in a supermarket that was surveyed.
There were at least this many checkout lanes in each supermarket that was surveyed.
There were at most this many checkout lanes in each supermarket that was surveyed.
Find
P(X < 𝜇) or P(X > 𝜇).
P(x < 𝜇)
=
P(x > 𝜇)
=
Interpret the result.
Then
P(x > 𝜇)
is
greater than
.
P(x < 𝜇).
Thus, most supermarkets have
more than
.
the average number of checkout lanes.
Click here to see answer by math_tutor2020(3816) |
Question 1196784: License plates in a particular state are to consist of digits followed by uppercase letters.
a) How many different license plates can there be in this state if repetition of letters and numbers is permitted?
b) How many different license plates can there be in this state if repetition of letters and numbers is not permitted?
c) How many different license plates can there be in this state if the must be , and repetition of letters and numbers is not permitted?
d) How many different license plates can there be in this state if the first digit cannot be , and repetition of letters and numbers is not permitted?
Question content area bottom
Part 1
a) There are
enter your response here different possible license plates if repetition of numbers and letters is permitted.
Click here to see answer by math_tutor2020(3816) |
Question 1196784: License plates in a particular state are to consist of digits followed by uppercase letters.
a) How many different license plates can there be in this state if repetition of letters and numbers is permitted?
b) How many different license plates can there be in this state if repetition of letters and numbers is not permitted?
c) How many different license plates can there be in this state if the must be , and repetition of letters and numbers is not permitted?
d) How many different license plates can there be in this state if the first digit cannot be , and repetition of letters and numbers is not permitted?
Question content area bottom
Part 1
a) There are
enter your response here different possible license plates if repetition of numbers and letters is permitted.
Click here to see answer by ikleyn(52752)  |
Question 1196774: A researcher was interested in comparing the GPAs of students at two different colleges. Independent random samples of 25 students from college A and 40 students from college B were selected, and all the GPAs for these selected students were collected. The summary statistics are shown below. Do the data provide enough evidence to show that the mean GPA of students at college A is different from the mean GPA of students at college B? What's the difference between population means for the GPAs?
College A x1=3.1124, s1=0.4357, n1=25
College B x2=3.4385, s2=0.5485, n2=40
Using hypothesis testing at a 5% significance level, what would be the formal conclusion?
Accept the Ho.
Reject Ho in favor of HA.
Fail to reject the Ho.
Click here to see answer by Theo(13342)  |
Question 1196791: On hot, sunny, summer days, Jane rents inner tubes by the river that runs through her town. Based on her past experience, she has assigned the following probability distribution to the number of tubes she will rent on a randomly selected day.
x 25 50 75 100 Total
P(x) .20 .45 .28 .07 1.00
(a) Find the probability expressions. (Round your answers to 2 decimal places.)
Click here to see answer by ikleyn(52752)  |
Question 1196790: The number of tickets purchased by an individual for Beckham College’s holiday music festival is a uniformly distributed random variable ranging from 3 to 8.
Find the mean and standard deviation of this random variable. (Round your answers to 2 decimal places.)
Click here to see answer by ewatrrr(24785)  |
Question 1196799: On hot, sunny, summer days, Jane rents inner tubes by the river that runs through her town. Based on her past experience, she has assigned the following probability distribution to the number of tubes she will rent on a randomly selected day.
x 25 50 75 100 Total
P(x) .20 .45 .28 .07 1.00
(a) Find the probability expressions. (Round your answers to 2 decimal places.)
Click here to see answer by math_tutor2020(3816) |
Question 1196800: On the midnight shift, the number of patients with head trauma in an emergency room has the probability distribution shown below.
x 0 1 2 3 4 5 Total
P(x) .03 .42 .30 .19 .05 .01 1.00
(a) Calculate the mean and standard deviation. (Round your mean value to 2 decimal places and standard deviation to 3 decimal places.)
Click here to see answer by math_tutor2020(3816) |
Question 1196804: The time to complete a standardized exam in the BYU-Idaho Testing Center is approximately normal with a mean of 70 minutes and a standard deviation of 10 minutes. Using the 68-95-99.7% Rule, approximately what percentage of students will complete the exam in under fifty minutes? Give your answer as a percentage accurate to one decimal place.
Click here to see answer by math_tutor2020(3816) |
Question 1196817: Students took a math test before and after tutoring. Their scores were as follows.
Before 71,66,67,77,75
After 75,75,65,80,87
Using a 0.01 level of significance, test the claim that the tutoring has an effect on the math scores. Assume scores after tutoring are the first population and scores before tutoring are the second population.
Test statistic: t = 2.1336
p-value = 0.0499
Reject the Ho in favor of the HA
There is enough evidence to show that the tutoring has a significant effect on the math scores.
Test statistic: t = 2.1336
p-value = 0.0499
Fail to reject the Ho
There is not enough evidence to show that the tutoring has a significant effect on the math scores.
Test statistic: t = 2.1336
p-value = 0.0022
Reject the Ho in favor of the HA
There is enough evidence to show that the tutoring has a significant effect on the math scores.
Test statistic: t = 2.1336
p-value = 0.0022
Fail to reject the Ho
There is not enough evidence to show that the tutoring has a significant effect on the math scores.
Click here to see answer by math_tutor2020(3816) |
Question 1196763: A machine produces metal rods used in an automobile suspension system. A random sample of 15 rods is selected, and the diameter is measured. The resulting data (in millimeters) are as follows: 8.24 8.25 8.20 8.24 8.21 8.26 8.26 8.20 8.25 8.23 8.23 8.19 8.28 8.24
The upper boundary of the 99% prediction interval on the next rod selected is?
Only the final answer should be rounded-off to TWO decimal places.
Click here to see answer by Theo(13342)  |
Question 1196848: In a year group of 63 students, 22 study biology, 26 study Chemistry and 25 study Physics. 18 study both Physics and
Chemistry, four study Biology and Chemistry and three study both Physics and Biology. One studies all three subjects. How
many students study:
a) Biology only
b) Physics or Chemistry
c) None of Biology, Physics or Chemistry
d) Physics but not Chemistry?
Click here to see answer by ikleyn(52752)  |
Question 1196867: Twenty-two percent of all light emitting diode (LED) displays are manufactured by Samsung. What is the probability that in a collection of two independent LED HDTV purchases, at least one is a Samsung? (Round your answer to 3 decimal places.)
Click here to see answer by ikleyn(52752)  |
Question 1196861: Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following probability, given the number of trials and the probability of obtaining a success. Round your answer to four decimal places.
P(X≤3), n=6, p=0.6
Click here to see answer by ikleyn(52752)  |
Question 1196861: Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following probability, given the number of trials and the probability of obtaining a success. Round your answer to four decimal places.
P(X≤3), n=6, p=0.6
Click here to see answer by ewatrrr(24785)  |
Question 1196866: Assume that at an actual temperature of freezing (0°C) on a batch of thermometers, the temperatures displayed are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find the probability of obtaining a reading less than
0.76°C if the actual temperature is freezing (0°C).
Click here to see answer by Theo(13342)  |
Question 1196872: There are 4 white and 3 red balls in box B1, 4 red and 3 white balls in the box
B2. A coin is tossed. If coin shows head, box B1 is selected and two balls are drawn
randomly from it, otherwise Box B2 is selected and two balls are drawn randomly
from it. What is the probability that both selected balls are white?
Click here to see answer by ikleyn(52752)  |
Question 1196876: A student knows the answer to 17 questions out of a list of 20. A test consists of 3 questions, each selected at random from the aforementioned list. To pass the test, the student must get at least 2 correct answers. What chance does the student have of passing the test?
Click here to see answer by math_tutor2020(3816) |
Question 1196879: 7. Ten percent of the tools produced in a certain manufacturing process turn out to be defective. Find the probability that in a sample of ten tools chosen at random exactly two will be defective by using:
a. The Binomial distribution
b. The Poisson approximation to the binomial distribution
Click here to see answer by ewatrrr(24785)  |
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3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250, 20251..20295, 20296..20340, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 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