How many Kleenex should the Kimberly Clark Corporation package of tissues contain? Researchers believed that 60 is the average number of tissues used during a cold. They collected a random sample of 100 Kleenex users. The sample yielded a mean of 52 and standard deviation of 22 on the number of tissues used during a cold. 3) Note that the standard deviation is estimated from the current sample rather than provided upfront. In a hypothesis test for determining whether the average number of tissues used during a cold is 60, What distribution does the test statistic follow? (Hint: The test statistic is called a t. The name of this hypothesis test is called the one-sample t-test. The shape of at- distribution is very close to a normal distribution. In fact, we should say that the normal distribution is a special case of the -distribution with a infinitely large sample.) O an exponential distribution OA Chi-square distribution Oat distribution a unitorm distribution

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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How many Kleenex should the Kimberly Clark Corporation package of tissues contain? Researchers believed that 60 is the
average number of tissues used during a cold. They collected a random sample of 100 Kleenex users. The sample yielded a
mean of 52 and standard deviation of 22 on the number of tissues used during a cold. 3) Note that the standard deviation
is estimated from the current sample rather than provided upfront. In a hypothesis test for determining whether the
average number of tissues used during a cold is 60, What distribution does the test statistic follow?
(Hint: The test statistic is called a t. The name of this hypothesis test is called the one-sample t-test. The shape of at-
distribution is very close to a normal distribution. In fact, we should say that the normal distribution is a special case of the
t-distribution with a infinitely large sample.)
Oan exponential distribution
O a Chi-square distribution
Oat-distribution
Ounitorm distribution
Transcribed Image Text:How many Kleenex should the Kimberly Clark Corporation package of tissues contain? Researchers believed that 60 is the average number of tissues used during a cold. They collected a random sample of 100 Kleenex users. The sample yielded a mean of 52 and standard deviation of 22 on the number of tissues used during a cold. 3) Note that the standard deviation is estimated from the current sample rather than provided upfront. In a hypothesis test for determining whether the average number of tissues used during a cold is 60, What distribution does the test statistic follow? (Hint: The test statistic is called a t. The name of this hypothesis test is called the one-sample t-test. The shape of at- distribution is very close to a normal distribution. In fact, we should say that the normal distribution is a special case of the t-distribution with a infinitely large sample.) Oan exponential distribution O a Chi-square distribution Oat-distribution Ounitorm distribution
How many Kleenex should the Kimberly Clark Corporation package of tissues contain? Researchers believed that 60 is the
average number of tissues used during a cold. They collected a random sample of 100 Kleenex users. The sample yielded a
mean of 52 and standard deviation of 22 on the number of tissues used during a cold. 2) Calculate the test statistic for
determining whether the average number of tissues used during a cold is 60.
(Hint: similar to the z-score, the test statistic t here is a relative distance. t-(sample mean - hypothesized
mean)/StandardError, where StandardError=population sigma/sqrt(sample size). Here sample size = 100. What is the
square root of 100?) (StandardError is the name of the Standard Deviation for the distribution of the mean. (Yes, your
mean has a distribution, as well.)
O 152-60)/(22/100) -- 36.36
0152-60)/(22/100^2)3636.36
O(52-60)/122/10) -3.636
O(52-60)/22 0.364
Transcribed Image Text:How many Kleenex should the Kimberly Clark Corporation package of tissues contain? Researchers believed that 60 is the average number of tissues used during a cold. They collected a random sample of 100 Kleenex users. The sample yielded a mean of 52 and standard deviation of 22 on the number of tissues used during a cold. 2) Calculate the test statistic for determining whether the average number of tissues used during a cold is 60. (Hint: similar to the z-score, the test statistic t here is a relative distance. t-(sample mean - hypothesized mean)/StandardError, where StandardError=population sigma/sqrt(sample size). Here sample size = 100. What is the square root of 100?) (StandardError is the name of the Standard Deviation for the distribution of the mean. (Yes, your mean has a distribution, as well.) O 152-60)/(22/100) -- 36.36 0152-60)/(22/100^2)3636.36 O(52-60)/122/10) -3.636 O(52-60)/22 0.364
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