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 41 students from that country and finds the mean IQ is 103.2 with a standar parts (a) through (d) below. 1.51 (Round to two decimal places as needed.) Find the P-value for this hypothesis test. 0.070 (Round to three decimal places as needed.) Write a conclusion for the test. Choose the correct answer below. O A. Reject Ho. There is sufficient evidence to conclude that the mean IQ score of people in the country is greater than 100 at the a =0.01 level of significance. B. Do not reject Hn. There is not sufficient evidence conclude that the mean IQ score of people in the country is greater than 100 at the a = 0.01 level significance. O C. Reject Ho. There is not sufficient evidence to conclude that the mean IQ score of people in the country is greater than 100 at the a = 0.01 level of significance. O D. Do not reject Ho. There is sufficient evidence to conclude that the mean IQ score of people in the country is greater than 100 at the a = 0.01 level of significance. (b) Consider the hypotheses Ho: u = 101 versus H,:p> 101. Explain what the director is testing. Perform the test at the a = 0.01 level 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 not greater than 101. O B. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually equal to 101. C. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually greater than 101. O D. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually not equal to 101. Find the test statistic for this hypothesis test. (Round to two decimal places as needed.)

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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 41 students from that country and finds the mean IQ is 103.2 with a standard deviation of 13.6. Complete
parts (a) through (d) below.
1.51 (Round to two decimal places as needed.)
Find the P-value for this hypothesis test.
0.070 (Round to three decimal places as needed.)
Write a conclusion for the test. Choose the correct answer below.
O A. Reject Hn. There is sufficient evidence to conclude that the mean IQ score of people in the country is greater than 100 at the a = 0.01 level of significance.
VB. Do not reject Ho. There is not sufficient evidence to conclude that the mean IQ score of people in the country is greater than 100 at the g = 0.01 level of significance.
O C. Reject Ho. There is not sufficient evidence to conclude that the mean IQ score of people in the country is greater than 100 at the a = 0.01 level of significance.
O D. Do not reject Ho. There is sufficient evidence to conclude that the mean IQ score of people in the country is greater than 100 at the a = 0.01 level of significance.
(b) Consider the hypotheses Ho: u = 101 versus H,: u> 101. Explain what the director is testing. Perform the test at the g = 0.01 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 not greater than 101.
O B. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually equal to 101.
Oc. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually greater than 101.
O D. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually not equal to 101.
Find the test statistic for this hypothesis test.
(Round to two 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 41 students from that country and finds the mean IQ is 103.2 with a standard deviation of 13.6. Complete parts (a) through (d) below. 1.51 (Round to two decimal places as needed.) Find the P-value for this hypothesis test. 0.070 (Round to three decimal places as needed.) Write a conclusion for the test. Choose the correct answer below. O A. Reject Hn. There is sufficient evidence to conclude that the mean IQ score of people in the country is greater than 100 at the a = 0.01 level of significance. VB. Do not reject Ho. There is not sufficient evidence to conclude that the mean IQ score of people in the country is greater than 100 at the g = 0.01 level of significance. O C. Reject Ho. There is not sufficient evidence to conclude that the mean IQ score of people in the country is greater than 100 at the a = 0.01 level of significance. O D. Do not reject Ho. There is sufficient evidence to conclude that the mean IQ score of people in the country is greater than 100 at the a = 0.01 level of significance. (b) Consider the hypotheses Ho: u = 101 versus H,: u> 101. Explain what the director is testing. Perform the test at the g = 0.01 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 not greater than 101. O B. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually equal to 101. Oc. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually greater than 101. O D. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually not equal to 101. Find the test statistic for this hypothesis test. (Round to two decimal places as needed.)
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