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The student senate at a large university feels that their seniors have a debt much less than $3,150, so it conducts a study of 50 randomly selected seniors and finds that the average debt is $2995, and the population standard deviation is $1100. Use a = 0.05 level of significance. a. What are the null and alternative hypotheses? b. What hypothesis test should be used? (t-test or z-test) c. What is the rejection region? d. What is your test statistic? Is this statistic in the rejection region? e. What is the p-value of the test? f. What is your conclusion? Can we support the student senate's claim using the data collected?

The student senate at a large university feels that their seniors have a debt much less than $3,150, so it conducts a study of 50 randomly selected seniors and finds that the average debt is $2995, and the population standard deviation is $1100. Use a = 0.05 level of significance. a. What are the null and alternative hypotheses? b. What hypothesis test should be used? (t-test or z-test) c. What is the rejection region? d. What is your test statistic? Is this statistic in the rejection region? e. What is the p-value of the test? f. What is your conclusion? Can we support the student senate's claim using the data collected?

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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#2. We wish to check that normal body temperature may be less than 98.6 degrees for a certain population. In a random sample of 18 individuals from this population, the sample mean was found to be 98.217 and the samle standard deviation was 0.684. Assume the population is normally distributed. Use a = 0.05. a. What are the null and alternative hypotheses? b. What hypothesis test should be used? (t-test or z-test) c. What is the rejection region? d. What is your test statistic? Is this statistic in the rejection region? e. What is the p-value of the test? f. What is your conclusion? Is there enough evidence to conclude that the normal body temperature is less than 98.6 degrees? g. What would be your conclusion under a = 0.01 level of significance? (use p-value method)
Transcribed Image Text:#2. We wish to check that normal body temperature may be less than 98.6 degrees for a certain population. In a random sample of 18 individuals from this population, the sample mean was found to be 98.217 and the samle standard deviation was 0.684. Assume the population is normally distributed. Use a = 0.05. a. What are the null and alternative hypotheses? b. What hypothesis test should be used? (t-test or z-test) c. What is the rejection region? d. What is your test statistic? Is this statistic in the rejection region? e. What is the p-value of the test? f. What is your conclusion? Is there enough evidence to conclude that the normal body temperature is less than 98.6 degrees? g. What would be your conclusion under a = 0.01 level of significance? (use p-value method)
#1. The student senate at a large university feels that their seniors have a debt much less than $3,150, so it conducts a study of 50 randomly selected seniors and finds that the average debt is $2995, and the population standard deviation is $1100. Use a= 0.05 level of significance. a. What are the null and alternative hypotheses? b. What hypothesis test should be used? (t-test or z-test) c. What is the rejection region? d. What is your test statistic? Is this statistic in the rejection region? e. What is the p-value of the test? f. What is your conclusion? Can we support the student senate's claim using the data collected?
Transcribed Image Text:#1. The student senate at a large university feels that their seniors have a debt much less than $3,150, so it conducts a study of 50 randomly selected seniors and finds that the average debt is $2995, and the population standard deviation is $1100. Use a= 0.05 level of significance. a. What are the null and alternative hypotheses? b. What hypothesis test should be used? (t-test or z-test) c. What is the rejection region? d. What is your test statistic? Is this statistic in the rejection region? e. What is the p-value of the test? f. What is your conclusion? Can we support the student senate's claim using the data collected?
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