For the following claim, find the null and alternative hypotheses, test statistic, critical value, and draw a conclusion. Assume that a simple random sample has been selected from a normally distributed population. Answer parts a-d. Claim: The mean IQ score of statistics professors is less than 116. Sample data: n= 17, x= 113, s = 6. The significance level is a =0.05. Click the icon to view a table of critical t-values.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 3BGP
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For the following claim, find the null and alternative hypotheses, test statistic, critical value, and draw a conclusion. Assume that a simple random sample has been
selected from a normally distributed population. Answer parts a-d.
Claim: The mean IQ score of statistics professors is less than 116.
Sample data: n= 17, x= 113, s 6. The significance level is a = 0.05,
/ Click the icon to view a table of critical t-values.
Transcribed Image Text:Uestion Help For the following claim, find the null and alternative hypotheses, test statistic, critical value, and draw a conclusion. Assume that a simple random sample has been selected from a normally distributed population. Answer parts a-d. Claim: The mean IQ score of statistics professors is less than 116. Sample data: n= 17, x= 113, s 6. The significance level is a = 0.05, / Click the icon to view a table of critical t-values.
b. Determine the test statistic t.
t= -0.866 (Round to three decimal places as needed.)
c. Find the critical value using a t-distribution table.
The critical value is - 1.796. (Round to three decimal places as needed.)
d. What is the conclusion?
O A. Fail to reject the null hypothesis and support the claim that u < 120.
O B. Fail to reject the null hypothesis and do not support the claim that u< 120.
O C. Reject the null hypothesis and support the claim that p < 120.
O D. Reject the null hypothesis and do not support the claim that u < 120.
Transcribed Image Text:b. Determine the test statistic t. t= -0.866 (Round to three decimal places as needed.) c. Find the critical value using a t-distribution table. The critical value is - 1.796. (Round to three decimal places as needed.) d. What is the conclusion? O A. Fail to reject the null hypothesis and support the claim that u < 120. O B. Fail to reject the null hypothesis and do not support the claim that u< 120. O C. Reject the null hypothesis and support the claim that p < 120. O D. Reject the null hypothesis and do not support the claim that u < 120.
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