Find the P-value for this hypothesis test.

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 14PPS
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just the last part 

the answer is not 0.058 or 0.023

thank you!

Suppose the mean IQ score of people in a certain country is 100. Suppose the director of a college obtains a simple random sample of 39 students from that country and finds the mean IQ is 104.5 with a standard deviation of 13.6. Complete
parts (a) through (d) below.
0.058 (Round to three decimal places as needed.)
Write a conclusion for the test. Choose the correct answer below.
O A. Do not reject Ho. There is not sufficient evidence to conclude that the mean IQ score of people in the country is greater than 101 at the a = 0.10 level of significance.
O B. Reject Hn. There is not sufficient evidence to conclude that the mean IQ score of people in the country is greater than 101 at the a = 0.10 level of significance.
O C. Do not reject Ho. There is sufficient evidence to conclude that the mean IQ score of people in the country is greater than 101 at the a = 0.10 level of significance.
OD. Reject Ho. There is sufficient evidence to conclude that the mean IQ score of people in the country is greater than 101 at the a = 0.10 level of significance.
(c) Consider the hypotheses Ho: µ= 102 versus H,: µ> 102. Explain what the director is testing. Perform the test at the a = 0.10 level of significance. Write a conclusion for the test.
Explain what the director is testing. Choose the correct answer below.
O A. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually equal to 102.
O B. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually not equal to 102.
Oc. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually greater than 102.
O D. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually not greater than 102.
Find the test statistic for this hypothesis test.
1.15 (Round to two decimal places as needed.)
Find the P-value for this hypothesis test.
(Round to three decimal places as needed.)
Transcribed Image Text:Suppose the mean IQ score of people in a certain country is 100. Suppose the director of a college obtains a simple random sample of 39 students from that country and finds the mean IQ is 104.5 with a standard deviation of 13.6. Complete parts (a) through (d) below. 0.058 (Round to three decimal places as needed.) Write a conclusion for the test. Choose the correct answer below. O A. Do not reject Ho. There is not sufficient evidence to conclude that the mean IQ score of people in the country is greater than 101 at the a = 0.10 level of significance. O B. Reject Hn. There is not sufficient evidence to conclude that the mean IQ score of people in the country is greater than 101 at the a = 0.10 level of significance. O C. Do not reject Ho. There is sufficient evidence to conclude that the mean IQ score of people in the country is greater than 101 at the a = 0.10 level of significance. OD. Reject Ho. There is sufficient evidence to conclude that the mean IQ score of people in the country is greater than 101 at the a = 0.10 level of significance. (c) Consider the hypotheses Ho: µ= 102 versus H,: µ> 102. Explain what the director is testing. Perform the test at the a = 0.10 level of significance. Write a conclusion for the test. Explain what the director is testing. Choose the correct answer below. O A. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually equal to 102. O B. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually not equal to 102. Oc. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually greater than 102. O D. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually not greater than 102. Find the test statistic for this hypothesis test. 1.15 (Round to two decimal places as needed.) Find the P-value for this hypothesis test. (Round to three decimal places as needed.)
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