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 greater than 135. Sample data:n=12, x= 136, s 13. The significance level is a=0.05.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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For the following claim, find the null and alternative hypotheses, test statistic, critical value, and draw a conoclusion. 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 greater than 135.
Sample data: n= 12, x= 136, s 13. The significance level is a = 0.05.
F Click the icon to view a table of critical t-values.
Transcribed Image Text:For the following claim, find the null and alternative hypotheses, test statistic, critical value, and draw a conoclusion. 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 greater than 135. Sample data: n= 12, x= 136, s 13. The significance level is a = 0.05. F Click the icon to view a table of critical t-values.
b. Determine the test statistic t.
t= -2.062 (Round to three decimal places as needed.)
c. Find the critical value using a t-distribution table.
The critical value is
-1.746. (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 <116.
O B. Reject the null hypothesis and do not support the claim that u <116,
O C. Fail to reject the null hypothesis and do not support the claim that u<116.
O D. Reject the null hypothesis and support the claim that u< 116.
Transcribed Image Text:b. Determine the test statistic t. t= -2.062 (Round to three decimal places as needed.) c. Find the critical value using a t-distribution table. The critical value is -1.746. (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 <116. O B. Reject the null hypothesis and do not support the claim that u <116, O C. Fail to reject the null hypothesis and do not support the claim that u<116. O D. Reject the null hypothesis and support the claim that u< 116.
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