ist 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 37 students from that country and finds the mean IQ is 103.6 with a standard deviation of 13.8. Complete parts (a) through (d) below. (a) Consider the hypotheses Ho: H = 100 versus H, : u > 100. Explain what the director is testing. Perform the test at the o = 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 equal to 100. O B. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually not greater than 100. O C. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually equal to 100. D. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually greater than 100. Find the test statistic for this hypothesis test. (Round to two decimal places as needed.) Find the P-value for this hypothesis test. (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 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 B. 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. O C. 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 a = 0.01 level of significance. O D. 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. (b) Consider the hypotheses Ho: = 101 versus H,: u > 101. Explain what the director is testing. Perform the test at the a = 0.01 level of significance. Write a conclusion for the test. Explain what the director is testing. Choose the correct answer below. Statcrunch Calculator Time Remaining: 00:59:30 NextList 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 37 students from that country and finds the mean IQ is 103.6 with a standard deviation of 13.8. Complete parts (a) through (d) below. (b) Consider the hypotheses Ho: u = 101 versus H, : H > 101. Explain what the director is testing. Perform the test at the a = 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 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. O C. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually not equal to 101. O D. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually not greater than 101. Find the test statistic for this hypothesis test. (Round to two decimal places as needed.) Find the P-value for this hypothesis test. (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 101 at the a = 0.01 level of significance. O B. 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 = 0.01 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 o = 0.01 level of significance. O D. 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 = 0.01 level of significance. (c) Consider the hypotheses Ho: H = 102 versus H, : u > 102. Explain what the director is testing. Perform the test at the a = 0.01 level of significance. Write a conclusion for the test. Explain what the director is testing. Choose the correct answer below. Statcrunch Calculator Time Remaining: 00:59:19 NextSuppose the mean IQ score of people in a certain country is 100. Suppose the director of a college obtains a simple random sample of 37 students from that country and finds the mean IQ is 103.6 with a standard deviation of 13.8. Complete parts (a) through (d) below. (c) Consider the hypotheses Ho: u = 102 versus H, : u > 102. Explain what the director is testing. Perform the test at the o = 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 greater than 102. O B. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually not greater than 102. O C. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually not equal to 102. O D. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually equal to 102. Find the test statistic for this hypothesis test. (Round to two decimal places as needed.) Find the P-value for this hypothesis test. (Round to three decimal places as needed.) Write a conclusion for the test. Choose the correct answer below. A. Reject Ho. There is sufficient evidence to conclude that the mean IQ score of people in the country is greater than 102 at the a = 0.01 level of significance O B. Do not reject Ho. There is sufficient evidence to conclude that the mean IQ score of people in the country is greater than 102 at the o = 0.01 level of significance. O C. Do not reject Ho. There is not sufficient evidence to conclude that the mean IQ score of people in the country is greater than 102 at the a = 0.01 level of significance. O D. Reject Ho. There is not sufficient evidence to conclude that the mean IQ score of people in the country is greater than 102 at the a = 0.01 level of significance. (d) Based on the results of parts (a)-(c), write a few sentences that explain the difference between "accepting" the statement in the null hypothesis versus "not rejecting" the statement in the null hypothesis. One should rather than| the null hypothesis. If one | the null hypothesis, this indicates that the | is a specific value, such as 100, 101, or 102, and so the same data have been used to Statcrunch Calculator Time Remaining: 00:59:09 NextSuppose the mean IQ score of people in a certain country is 100. Suppose the director of a college obtains a simple random sample of 37 students from that country and finds the mean IQ is 103.6 with a standard deviation of 13.8. Complete parts (a) through (d) below. O A. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually greater than 102. O B. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually not greater than 102. O C. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually not equal to 102. O D. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually equal to 102. Find the test statistic for this hypothesis test. (Round to two decimal places as needed.) Find the P-value for this hypothesis test. (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 102 at the o = 0.01 level of significance. O B. Do not reject Ho. There is sufficient evidence to conclude that the mean IQ score of people in the country is greater than 102 at the a = 0.01 level of significance. O C. Do not reject Ho. There is not sufficient evidence to conclude that the mean IQ score of people in the country is greater than 102 at the a = 0.01 level of significance. O D. Reject Ho. There is not sufficient evidence to conclude that the mean IQ score of people in the country is greater than 102 at the o = 0.01 level of significance. (d) Based on the results of parts (a)-(c), write a few sentences that explain the difference between "accepting" the statement in the null hypothesis versus "not rejecting" the statement in the null hypothesis. One should rather than the null hypothesis. If one the null hypothesis, this indicates that the is a specific value, such as 100, 101, or 102, and so the same data have been used to conclude that the is three different values. If one the null hypothesis, this indicates that the could be 100, 101, or 102 or even some other value; we are simply not ruling them out as the value of the Therefore, the null hypothesis can lead to contradictory conclusions, whereas does not. Statcrunch Calculator Time Remaining: 00:59:02 Next