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Question 882579: Nondestructive evaluation is a method that is used to
describe the properties of components or materials without
causing any permanent physical change to the units. It includes
the determination of properties of materials and the
classification of flaws by size, shape, type, and location. This
method is most effective for detecting surface flaws and characterizing
surface properties of electrically conductive materials.
Data were collected that classified each component as
having a flaw or not, based on manual inspection and operator
judgment, and the data also reported the size of the crack
in the material. Do the components classified as unflawed
have a smaller mean crack size than components classified as
flawed? The results in terms of crack size (in inches) are
stored in . (Data extracted from B. D. Olin and W. Q.
Meeker, �Applications of Statistical Methods to Nondestructive
Evaluation,� Technometrics, 38, 1996, p. 101.)
a. Assuming that the population variances are equal, is
there evidence that the mean crack size is smaller for the
unflawed specimens than for the flawed specimens? (Use
)
b. Repeat (a), assuming that the population variances are
not equal.
c. Compare the results of (a) and (b).

Type Crack size
0 0.003
0 0.004
0 0.012
0 0.014
0 0.021
0 0.023
0 0.024
0 0.030
0 0.034
0 0.041
0 0.041
0 0.042
0 0.043
0 0.045
0 0.057
0 0.063
0 0.074
0 0.076
1 0.022
1 0.026
1 0.026
1 0.030
1 0.031
1 0.034
1 0.042
1 0.043
1 0.044
1 0.046
1 0.046
1 0.052
1 0.055
1 0.058
1 0.060
1 0.060
1 0.070
1 0.071
1 0.073
1 0.073
1 0.078
1 0.079
1 0.079
1 0.083
1 0.090
1 0.095
1 0.095
1 0.096
1 0.100
1 0.102
1 0.103
1 0.105
1 0.114
1 0.119
1 0.120
1 0.130
1 0.160
1 0.306
1 0.328
1 0.440

Click here to see answer by lenjinx(1)

Question 888581: f(n)= 3*f(n/2) - 4 when n is even and f(1) = -3.
a. What is the value of f(4)?

b. What is the value of f(8)?

Click here to see answer by jim_thompson5910(35256)

Question 888617: In the formula Σ (x � �) ^2/n for the variance, in what cases would we divide by n-1 instead of n?
Click here to see answer by jim_thompson5910(35256)

Question 888617: In the formula Σ (x � �) ^2/n for the variance, in what cases would we divide by n-1 instead of n?
Click here to see answer by Edwin McCravy(20054)

Question 888642: It has been found that 20% of students who enroll in an introductory statistics class withdraw before the end of the semester. In a class of 15, what is the probability that:
A)Exactly 3 students withdraw?
B)Between 2 and 6 students withdraw?
C)At least 1 student withdraws?
D)Less than 4 students withdraw?
Click here to see answer by Okamiden(22)

Question 888644: According to police sources, a car with a certain protection system will be recovered 94% of the time. If 400 stolen cars are randomly selected, what is the mean and standard deviation of the number of cars recovered after being stolen?

Click here to see answer by Okamiden(22)

Question 888631: On a standard measure of hearing ability, the mean is 300 and the standard deviation is 20. Give the raw scores for persons whose Z scores for persons who score 340, 310, and 260. Give the raw scores for persons whose Z scores on this test are 2.4, 1.5, and -4.5.
Click here to see answer by Okamiden(22)

Question 888622: It is known that 10% of the customers in an electronics store purchase an MP3 player. A random sample of 30 customers is selected. Assume that the customers� purchases are made independently. What is the probability of �success� in a single trial of this binomial distribution application?

a.10%

b.30%

c.50%

d.70%

e.90%
Click here to see answer by Okamiden(22)

Question 888620: Two people are selected at random from 6 men and 9 women. The random variable is the number of men selected. Give all possible values of the random variable.

a.0,1,2,3

b.0,1,2

c.0,1,2,3,4

d.1,2,3
Click here to see answer by Okamiden(22)

Question 888655: According to Chebyshev's theorem, what proportion of a distribution will be within k = 4 standard deviations of the mean? Show all work as to how to find this.
Click here to see answer by richard1234(7193)

Question 888626: I am having issues finding the answer to this statistics problem. Please help me work this out! Thank you!
According to the College Research Center, the proportion of college students who use only a cellular telephone (no land line) is 76%. Considering this, your instructor surveyed his students to see how they compared.
From 359 college students surveyed, he found that 262 of them only used a cellular telephone. Consequently, your instructor claims that his college students are different from other college students.
Test your instructor's claim at a level of significance of 10% using the P-Value Method:
The following parts break down the four steps of the P-Value Method, which you will use for the hypothesis test in this problem:
A) State the Hypotheses
B) Determine the Test Statistic.
C) Determine the P-Value.
D) State the conclusion. It should be in terms of the problem (give me more than just Reject Ho or Do Not Reject Ho).

Click here to see answer by rothauserc(4718)

Question 888693: Hello
Could someone give me a hand with the following:
What is the probability that a normal random variable has an outcome within 1 standard deviation of the mean?
thanks
Paul
Click here to see answer by Theo(13342)

Question 888678: Which condition must be met to conduct a test for the difference in two sample means using a z-statistic?
a)Data must be at least of nominal scale.
b)Populations must be normal.
c)Standard deviations of the two populations must be known.
d)Samples are dependent.

Click here to see answer by Theo(13342)

Question 888624: It is known that 70% of the customers in a sporting goods store purchase a pair of running shoes. A random sample of 25 customers is selected. Assume that the customers� purchases are made independently. In this binomial distribution application, which Excel statement will find the probability of 5 or fewer customers purchasing a pair of running shoes?

a.=BINOMDIST(5,25,70%,FALSE)

b.=BINOMDIST(5, 25, 70%,TRUE)

c.=1-BINOMDIST(5,25,70%,FALSE)

d.=1- BINOMDIST(5, 25, 70%,TRUE
Click here to see answer by Theo(13342)

Question 888698: Can someone help with the following:
In her first year of university, Mary received the following grades:
12, 8, 12, 11, 9, 6
Similarly in his first year, Bob received the following grades:
5, 9, 9, 6, 5, 7
Compute the population mean and variance for both.
My Work:
Mary's mean 9.67
Bob's mean 6.83
not sure of the variance
thanks Paul

Click here to see answer by Theo(13342)

Question 888638: what is the probability of an 8 digit drivers license number chosen at random to not be a 1?
Click here to see answer by Alan3354(69443)

Question 888727: "A small deck of cards has 3 blue, 4 black, and 6 purple cards. What is the probability of picking two blue cards in a row if the first card is not returned to the deck after it is drawn?"
HELP!!!
Click here to see answer by Fombitz(32388)

Question 888765: Suppose you have a summer reading list with 15 books and you have to read 3. How many different combinations of books can you read?
Click here to see answer by jim_thompson5910(35256)

Question 888795: blood pressure readings are approximately normal with a mean of 120 and a standard deviation of 8. A researcher wishes to select people for a study but wants to exclude the top & bottom 10%. What would be the upper and lower reading to qualify people to participate in the study? Please help I've spent almost an hour on this question
Click here to see answer by stanbon(75887)

Question 888784: (b) In a preliminary random sample of 30 small businesses, it was found that five had declared Chapter 11 bankruptcy. How many more small businesses should be included in the sample to be 95% sure that a point estimate will be within a distance of 0.080 from p?
Click here to see answer by stanbon(75887)

Question 888791: hi , could you please help me with this ( part d )
A city wants to encourage downtown employees to use public transportation. Below is the time in minutes to get to work on one morning according to whether the employee used public transportation or drove a car:
Public Transportation : 23 25 25 30 31 31 32 33 35 36 37 42
Private Transportation: 32 32 33 34 37 37 38 38 38 39 40 44
a)Calculate the mean, median for each group.

my solution :

the mean for public transportation = 31.6
the mean for private transportation = 36.8
the median for public transportation = 31.5
the median for private transportation = 37.5

b) Find the lower and upper-quartiles, and the inter-quartile range for each group.

my solution :

lower quartile for public transportation = 27.5
upper quartile for public transportation = 35.5
inter-quartile range for public transportation = 8

lower quartile for private transportation = 33.5
upper quartile for private transportation = 38.5
inter-quartile range for private transportation = 5

c)Calculate the standard deviation for each group.

my solution :

standard deviation for public transportation = 5.51

standard deviation for private transportation = 3.56

d)Compare the times of two groups
how can I do part (d) . Can u please help me on that ..... I will be very thankful of u .......... Regards
Click here to see answer by stanbon(75887)

Question 888781: 1/3 scored 90. 1/3 had a passing score. What fraction of the class failed?

Click here to see answer by stanbon(75887)

Question 888781: 1/3 scored 90. 1/3 had a passing score. What fraction of the class failed?

Click here to see answer by richwmiller(17219)

Question 888772: question 1.Use the standard normal table to find P(-1.50 ≤ z ≤ 0.00)

question 2.Find the area under the standard normal curve between z = 0 and z = 1.37.
Click here to see answer by stanbon(75887)

Question 888972: In the experiment in Example 4, we got a P-value = 0.000 for testing H0: p = 1/7 about dogs� ability to diagnose urine from bladder cancer patients.
a. For the significance level 0.05, what decision would you make?
b. If you made an error in part a, what type of error was it? Explain what the error means in context of the Dr. Dog experiment.

Click here to see answer by stanbon(75887)

Question 888976: A company manufactures calculators in batches of 64 and there is a 5% rate of defects. Find the probability of getting at least three defective calculators in a a batch.
Click here to see answer by stanbon(75887)

Question 888964: 60% of what is 9 inches
Click here to see answer by jim_thompson5910(35256)

Question 889014: Q.1) If we wish to have a 90% confidence interval, what would be the value of α/2? Show how you arrived at this answer.

Q.2) In your own words, describe the relationship between the following:
Sample mean and point estimate

Click here to see answer by stanbon(75887)

Question 888960: what is 81% of 15 tons

Click here to see answer by stanbon(75887)

Question 889160: Find the Standard Deviation of the data set. what is this ?
Click here to see answer by Fombitz(32388)

Question 889159: Hello,
If I have a 15% chance to succeed at a task, and I do the task 1000 times, how many times will I succeed?
PS. If you need another variable, let's say with 90% confidence.
Click here to see answer by stanbon(75887)

Question 889243: I'm working on a probabilities question concerning the central limit theorem. The course is showing me the steps:
Let mu x_bar represent the mean of the distribution.
mux_bar = mu = 9.6
Correct! Good job!
Step 2:
Let sigmax_bar represent the standard deviation of the x_bar distribution.
sigmax_bar = sigma/

n space = 1.2/

5 space = 0.54
I get to step 2 which should say sigma x(bar) times the square root of the sample number or 1.2 time the square root of 5. every time I enter this into my calculator i get 2.68 but they say the answer is 0.54. What am I doing wrong?
Click here to see answer by stanbon(75887)

Question 889266: I know this should be easy, but arrrgghhh.....
A researcher is randomly selecting a sample for his experiment from a group of 30 highschool students, 20 college students and 10 grad students. 60% of each group is female and 40% is male.
If a researcher selects a stratified random sample of n=10, how many will be highschool students? Among the highschool students selected in this random sample of 10, what is the probability of selecting a female?
Click here to see answer by richwmiller(17219)

Question 889301: What is the sloution
if there were 4200 people at a concert and 1400 of these were female. what percentage were male
Plz mail me the solution of above question
Click here to see answer by rothauserc(4718)

Question 889264: The rate of change of the monthly sales of a newly released football games is given by S'(t)=500t^(1/4) S(0)=0
where t is the number of months since the game was released and S(t) is the number of games sold each month. Find s(t) When will the monthly sales reach 20,000 games?
Click here to see answer by Fombitz(32388)

Question 889379: The register at school wishes to determine how many student records to review in order to estimate the arithmetic mean grade point average of all graduating seniors over the last 10 years. These GPA's range from 2.0 to 4.0 we wish to estimate the mean GPA to a plus or minus 0.05 of the population mean. The standard deviation is estimated to be 0.279. For a 90% confidence interval, how many records should be reviewed?
Click here to see answer by stanbon(75887)

Question 889376: A previous survey shows that some 60% of customers prefer brand X. A sample survey is made of 75 customers, what is the probability that more than 70% of the customers do indeed prefer brand X?
Click here to see answer by stanbon(75887)

Question 889375: A random sample of 100 items is drawn from a population that has shown to have a mean of 30 and a standard deviation of 16. What is the probability that the mean is between 22.1 and 26.8?
Click here to see answer by stanbon(75887)

Question 889355: I need help with part 2 of this question:
A box contains 10 items, of which 3 are defective and 7 are non-defective. Two items are randomly selected, one at a time, with replacement, and x is the number of defectives in the sample of two. Explain why x is a binomial random variable.
For the first question about the box containing 10 items of which 3 are defective, what is the probability of any one selected item being non-defective?
Click here to see answer by stanbon(75887)

Question 889447: According to Chebyshev's theorem, what proportion of a distribution will be within k = 4 standard deviations of the mean? Show all work as to how to find this. please work the problem out. Thanks
Click here to see answer by rothauserc(4718)

Question 889535: How do yo find the mean and standard error of the sample mean that is normally distributed with a mean of 10 and a standard deviation of 2 when the sample size is 25?
Click here to see answer by stanbon(75887)

Question 889522: If Al, Betsy, Charlie, Doris, Enrique, and Felice are present in the class, how many different three-person clean-up crews can there be?
Click here to see answer by stanbon(75887)

Question 889509: If a certain medical condition is found to exist in 4.7 out of every 100,000 persons in the general population, what are the odds of finding two people with this medical condition sitting next to each other on a bus (completely at random, no doctors or heredity or outside factors having any influence on their location)?
Click here to see answer by stanbon(75887)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 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, 23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 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