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Determine whether the hypothesis test involves a sampling distribution of means that is a normal distribution, Student t distribution, or neither. Choose the correct distribution that will be use to test each claim. 10) a. Claim: u = 107. Sample data: n = 17, x = 101, s = 15.1. The sample data appear to come from a normally distributed population with unknown u and o. 10) b. Claim: u = 981. Sample data: n = 23, x = 912, s = 30. The sample data appear to come from a normally distributed population with o = 30.

Determine whether the hypothesis test involves a sampling distribution of means that is a normal distribution, Student t distribution, or neither. Choose the correct distribution that will be use to test each claim. 10) a. Claim: u = 107. Sample data: n = 17, x = 101, s = 15.1. The sample data appear to come from a normally distributed population with unknown u and o. 10) b. Claim: u = 981. Sample data: n = 23, x = 912, s = 30. The sample data appear to come from a normally distributed population with o = 30.

MATLAB: An Introduction with Applications
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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**Hypothesis Testing: Sampling Distribution Analysis** **Instructions:** Determine whether the hypothesis test involves a sampling distribution of means that is a normal distribution, Student t distribution, or neither. Choose the correct distribution to be used to test each claim. **Problem 10:** a. **Claim:** - \(\mu = 107\) - **Sample Data:** - \(n = 17\) - \(\bar{x} = 101\) - \(s = 15.1\) - The sample data appear to come from a normally distributed population with unknown \(\mu\) and \(\sigma\). - **Distribution Choice:** [to be determined] b. **Claim:** - \(\mu = 981\) - **Sample Data:** - \(n = 23\) - \(\bar{x} = 912\) - \(s = 30\) - The sample data appear to come from a normally distributed population with \(\sigma = 30\). **Notes:** - For claim (a), the population standard deviation \(\sigma\) is unknown, so the Student t distribution is likely appropriate if the sample size is small (\(n < 30\)). - For claim (b), since the population standard deviation is given (\(\sigma = 30\)), the normal distribution could be used provided the sample size is large enough or the population is normally distributed.
Transcribed Image Text:**Hypothesis Testing: Sampling Distribution Analysis** **Instructions:** Determine whether the hypothesis test involves a sampling distribution of means that is a normal distribution, Student t distribution, or neither. Choose the correct distribution to be used to test each claim. **Problem 10:** a. **Claim:** - \(\mu = 107\) - **Sample Data:** - \(n = 17\) - \(\bar{x} = 101\) - \(s = 15.1\) - The sample data appear to come from a normally distributed population with unknown \(\mu\) and \(\sigma\). - **Distribution Choice:** [to be determined] b. **Claim:** - \(\mu = 981\) - **Sample Data:** - \(n = 23\) - \(\bar{x} = 912\) - \(s = 30\) - The sample data appear to come from a normally distributed population with \(\sigma = 30\). **Notes:** - For claim (a), the population standard deviation \(\sigma\) is unknown, so the Student t distribution is likely appropriate if the sample size is small (\(n < 30\)). - For claim (b), since the population standard deviation is given (\(\sigma = 30\)), the normal distribution could be used provided the sample size is large enough or the population is normally distributed.
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