A sample of 32 observations is selected from a normal population. The sample mean is 32, and the population standard deviation is 6. Conduct the following test of hypothesis using the 0.05 significance level.H0: μ ≤ 29H1: μ > 29a. Is this a one- or two-tailed test?multiple choice 1"One-tailed"—the alternate hypothesis is greater than direction."Two-tailed"—the alternate hypothesis is different from direction.b. What is the decision rule? (Round your answer to 2 decimal places.)c. What is the value of the test statistic? (Round your answer to 2 decimal places.)d. What is your decision regarding H0?multiple choice 2Do not rejectReject There is ______ evidence to conclude that the population mean is greater than 29.e. What is the p-value? (Round your answer to 4 decimal places.)

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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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A sample of 32 observations is selected from a normal population. The sample mean is 32, and the population standard deviation is 6. Conduct the following test of hypothesis using the 0.05 significance level.

H₀: μ ≤ 29
H₁: μ > 29

a. Is this a one- or two-tailed test?

multiple choice 1

"One-tailed"—the alternate hypothesis is greater than direction.
"Two-tailed"—the alternate hypothesis is different from direction.

b. What is the decision rule? (Round your answer to 2 decimal places.)

c. What is the value of the test statistic? (Round your answer to 2 decimal places.)

d. What is your decision regarding H₀?

multiple choice 2

Do not reject
Reject

There is ______ evidence to conclude that the population mean is greater than 29.

e. What is the p-value? (Round your answer to 4 decimal places.)

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