How many Kleenex should the Kimberly Clark Corporation package of tissues contain? Researchers believed that 60 is theaverage number of tissues used during a cold. They collected a random sample of 100 Kleenex users. The sample yielded amean of 52 and standard deviation of 22 on the number of tissues used during a cold. 3) Note that the standard deviationis estimated from the current sample rather than provided upfront. In a hypothesis test for determining whether theaverage 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 thet-distribution with a infinitely large sample.)Oan exponential distributionO a Chi-square distributionOat-distributionOunitorm distribution How many Kleenex should the Kimberly Clark Corporation package of tissues contain? Researchers believed that 60 is theaverage number of tissues used during a cold. They collected a random sample of 100 Kleenex users. The sample yielded amean of 52 and standard deviation of 22 on the number of tissues used during a cold. 2) Calculate the test statistic fordetermining 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 - hypothesizedmean)/StandardError, where StandardError=population sigma/sqrt(sample size). Here sample size = 100. What is thesquare root of 100?) (StandardError is the name of the Standard Deviation for the distribution of the mean. (Yes, yourmean has a distribution, as well.)O 152-60)/(22/100) -- 36.360152-60)/(22/100^2)3636.36O(52-60)/122/10) -3.636O(52-60)/22 0.364

Given that: Let x is number of tissues used during a cold Sample size n=100 and population mean μ=60…

Answered: How many Kleenex should the Kimberly…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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For a random sample of 47 high school seniors in the United States in 2019, the average of typical sleep time on a school night is 6.8 hours with a standard deviation of 1.2 hours. (Source: Data are downloaded from U.S. Census at School a) We want to test if the mean sleep time on a school night for all high school seniors in the United States is less than 7 hours. State the hypotheses of a one-sided significance test. b) ) Calculate the test statistic. I Show how to make a c) conclusion for this test, using the significance level 0.05. d) ) If your conclusion in part c) were in error, what type of error would it be? e) ) Construct a 95% confidence interval for the population mean sleep time on a school night for all high school seniors in the United States.
Two species of fish have similar phenotypes to each other, researchers wonder if they can classify these fish species based on their sizes. One species has mean size of 10cm, with standard deviation of 1. The other species has mean size of 12cm, with standard deviation of 2. Size of 15 fish from each species were measured. a. Which hypothesis testing method can be used to compare the mean size of the two populations? Perform the test for a = 0.01. How does result of this test help the researchers to decide if they can classify these fish species based on their sizes? b. What is the power of the test? How does power of the test help the researchers to decide if they can classify these fish species based on their sizes?
An industrial engineer is conducting a time study for a work element. The select time is 4.5 minutes, and the sample standard deviation of the observed time is 20 seconds. What is the appropriate sample size if the estimate is to be 5 percent of the true average time 95 percent of the time?
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Some college graduates employed full-time work more than 40 hours per week, and some work fewer than 40 hours per week. We suspect that the mean number of hours worked per week by college graduates, u, is less than 40 hours and wish to do a statistical test. We select a random sample of college graduates employed full-time and find that the mean of the sample is 35 hours and that the standard deviation is 3 hours. Based on this information, answer the questions below. What are the null hypothesis (H,) and the alternative hypothesis (H,) that should be used for the test? H: u is ? H: u is ? In the context of this test, what is a Type II error? A Type II error is ? fact, u is ? v the hypothesis that u is ? ? v. when, in Suppose that we decide to reject the null hypothesis. What sort of error might we be making? ?
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The average speed of 64 random cars traveling on a certain highway was 80 km/h and the sample standard deviation was 20 km/h. What is the margin of error with a 98% level of confidence for the population average speed? Select one: а. 1.295 b. 2.387 C. 6.64 d. 3.2375 е. 2.656 f. 5.9675
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