Suppose the mean IQ score of people in a certain country is 103. Suppose the director...

  

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Suppose the mean IQ score of people in a certain country is 103. Suppose the director of a college obtains a simple random sample of 39 students from that country and finds the mean IQ is 106.8 with a standard deviation of 13.8. Complete parts (a) through (d) below. (a) Consider the hypotheses Ho: μ = 103 versus H₁: μ> 103. Explain what the director is testing. Perform the test at the x = 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 103. OB. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually not equal to 103. O C. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually equal to 103. O D. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually greater than 103. 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 not sufficient evidence to conclude that the mean IQ score of people in the country is greater than 103 at the x = 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 103 at the α = 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 103 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 103 at the x = 0.01 level of significance. (b) Consider the hypotheses Ho: μ = 104 versus H₁: μ> 104. Explain what the director is testing. Perform the test at the α = 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 104. OB. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually equal to 104. O C. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually greater than 104. O D. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually not greater than 104. 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 104 at the x = 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 104 at the x = 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 104 at the α = 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 104 at the x = 0.01 level of significance. (c) Consider the hypotheses Ho: μ = 105 versus H₁: μ> 105. 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 not greater than 105. OB. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually equal to 105. OC. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually greater than 105. O D. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually not equal to 105. 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 not sufficient evidence to conclude that the mean IQ score of people in the country is greater than 105 at the x = 0.01 level of significance. OB. Reject Ho. There is sufficient evidence to conclude that the mean IQ score of people in the country is greater than 105 at the x = 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 105 at the x = 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 105 at the x = 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. rather than the null hypothesis. If one ▼the null hypothesis, this indicates that the is three different values. If one the null hypothesis, this indicates that the ▼the null hypothesis can lead to contradictory conclusions, whereas ▼ does not. One should Therefore, is a specific value, such as 103, 104, or 105, and so the same data have been used to conclude that the could be 103, 104, or 105 or even some other value; we are simply not ruling them out as the value of the Y Suppose the mean IQ score of people in a certain country is 103. Suppose the director of a college obtains a simple random sample of 39 students from that country and finds the mean IQ is 106.8 with a standard deviation of 13.8. Complete parts (a) through (d) below. (a) Consider the hypotheses Ho: μ = 103 versus H₁: μ> 103. Explain what the director is testing. Perform the test at the x = 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 103. OB. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually not equal to 103. O C. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually equal to 103. O D. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually greater than 103. 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 not sufficient evidence to conclude that the mean IQ score of people in the country is greater than 103 at the x = 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 103 at the α = 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 103 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 103 at the x = 0.01 level of significance. (b) Consider the hypotheses Ho: μ = 104 versus H₁: μ> 104. Explain what the director is testing. Perform the test at the α = 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 104. OB. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually equal to 104. O C. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually greater than 104. O D. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually not greater than 104. 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 104 at the x = 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 104 at the x = 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 104 at the α = 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 104 at the x = 0.01 level of significance. (c) Consider the hypotheses Ho: μ = 105 versus H₁: μ> 105. 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 not greater than 105. OB. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually equal to 105. OC. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually greater than 105. O D. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually not equal to 105. 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 not sufficient evidence to conclude that the mean IQ score of people in the country is greater than 105 at the x = 0.01 level of significance. OB. Reject Ho. There is sufficient evidence to conclude that the mean IQ score of people in the country is greater than 105 at the x = 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 105 at the x = 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 105 at the x = 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. rather than the null hypothesis. If one ▼the null hypothesis, this indicates that the is three different values. If one the null hypothesis, this indicates that the ▼the null hypothesis can lead to contradictory conclusions, whereas ▼ does not. One should Therefore, is a specific value, such as 103, 104, or 105, and so the same data have been used to conclude that the could be 103, 104, or 105 or even some other value; we are simply not ruling them out as the value of the Y