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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 39 students from that country and finds the mean IQ is 103.1 with a standard deviation of 13.8. Complete parts (a) through (d) below. (a) Consider the hypotheses Ho:H= 100 versus H: H> 100. Explain what the director is testing. Perform the test at the a = 0.05 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 eqı B. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually greater OC. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually not gre O D. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually equal t 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 Họ. There is sufficient evidence to conclude that the mean IQ score of people in the country is greater than 1C B. Reject Ho. There is not sufficient evidence to conclude that the mean IQ score of people in the country is greater thai O C. Do not reject Ho. There is not sufficient evidence to conclude that the mean IQ score of people in the country is grea O D. Do not reject Ho. There is sufficient evidence to conclude that the mean IQ score of people in the country is greater t (b) Consider the hypotheses Ho: H = 101 versus H1: µ> 101. Explain what the director is testing. Perform the test at the a = 0.05 level of significance. Write a conclusion for the test. Explain what the director is testing. Choose the correct answer below. A. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually greater B. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually not equ C. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually not gre O D. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually equal t 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. Do not reject Ho. There is sufficient evidence to conclude that the mean IQ score of people in the country is greater t B. Reject Ho. There is not sufficient evidence to conclude that the mean IQ score of people in the country is greater thai C. Reject Ho. There is sufficient evidence to conclude that the mean IQ score of people in the country is greater than 10

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 103.1 with a standard deviation of 13.8. Complete parts (a) through (d) below. (a) Consider the hypotheses Ho:H= 100 versus H: H> 100. Explain what the director is testing. Perform the test at the a = 0.05 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 eqı B. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually greater OC. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually not gre O D. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually equal t 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 Họ. There is sufficient evidence to conclude that the mean IQ score of people in the country is greater than 1C B. Reject Ho. There is not sufficient evidence to conclude that the mean IQ score of people in the country is greater thai O C. Do not reject Ho. There is not sufficient evidence to conclude that the mean IQ score of people in the country is grea O D. Do not reject Ho. There is sufficient evidence to conclude that the mean IQ score of people in the country is greater t (b) Consider the hypotheses Ho: H = 101 versus H1: µ> 101. Explain what the director is testing. Perform the test at the a = 0.05 level of significance. Write a conclusion for the test. Explain what the director is testing. Choose the correct answer below. A. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually greater B. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually not equ C. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually not gre O D. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually equal t 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. Do not reject Ho. There is sufficient evidence to conclude that the mean IQ score of people in the country is greater t B. Reject Ho. There is not sufficient evidence to conclude that the mean IQ score of people in the country is greater thai C. Reject Ho. There is sufficient evidence to conclude that the mean IQ score of people in the country is greater than 10

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 26PFA
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11/17/21, 1:41 PM HW 10.3 (16 Questions)-Shams Ismael 9. 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 103.1 with a standard deviation of 13.8. Complete parts (a) through (d) below. (a) Consider the hypotheses Ho: µ = 100 versus H4: µ> 100. Explain what the director is testing. Perform the test at the a = 0.05 level of significance. Write a conclusion for the test. Explain what the director is testing. Choose the correct answer below. A. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually not equ O B. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually greater O c. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually not gre O D. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually equal t 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 10 B. Reject Ho. There is not sufficient evidence to conclude that the mean IQ score of people in the country is greater thai O c. Do not reject Ho. There is not sufficient evidence to conclude that the mean IQ score of people in the country is grea O D. Do not reject Ho. There is sufficient evidence to conclude that the mean IQ score of people in the country is greater t (b) Consider the hypotheses Ho: µ = 101 versus H,: µ> 101. Explain what the director is testing. Perform the test at the a = 0.05 level of significance. Write a conclusion for the test. Explain what the director is testing. Choose the correct answer below. A. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually greater O B. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually not equ O C. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually not gre O D. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually equal to 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. Do not reject Ho. There is sufficient evidence to conclude that the mean IQ score of people in the country is greater t B. Reject Ho. There is not sufficient evidence to conclude that the mean IQ score of people in the country is greater thai O c. Reject Ho. There is sufficient evidence to conclude that the mean IQ score of people in the country is greater than 10 O O O
Transcribed Image Text:11/17/21, 1:41 PM HW 10.3 (16 Questions)-Shams Ismael 9. 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 103.1 with a standard deviation of 13.8. Complete parts (a) through (d) below. (a) Consider the hypotheses Ho: µ = 100 versus H4: µ> 100. Explain what the director is testing. Perform the test at the a = 0.05 level of significance. Write a conclusion for the test. Explain what the director is testing. Choose the correct answer below. A. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually not equ O B. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually greater O c. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually not gre O D. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually equal t 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 10 B. Reject Ho. There is not sufficient evidence to conclude that the mean IQ score of people in the country is greater thai O c. Do not reject Ho. There is not sufficient evidence to conclude that the mean IQ score of people in the country is grea O D. Do not reject Ho. There is sufficient evidence to conclude that the mean IQ score of people in the country is greater t (b) Consider the hypotheses Ho: µ = 101 versus H,: µ> 101. Explain what the director is testing. Perform the test at the a = 0.05 level of significance. Write a conclusion for the test. Explain what the director is testing. Choose the correct answer below. A. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually greater O B. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually not equ O C. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually not gre O D. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually equal to 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. Do not reject Ho. There is sufficient evidence to conclude that the mean IQ score of people in the country is greater t B. Reject Ho. There is not sufficient evidence to conclude that the mean IQ score of people in the country is greater thai O c. Reject Ho. There is sufficient evidence to conclude that the mean IQ score of people in the country is greater than 10 O O O
HW 10.3 (16 Questions)-Shams Ismael O D. Do not reject Ho. There is not sufficient evidence to conclude that the mean IQ score of people in the country is grea 11/17/21, 1:41 PM (c) Consider the hypotheses Ho: µ = 102 versus H,: µ> 102. Explain what the director is testing. Perform the test at the a = 0.05 level of significance. Write a conclusion for the test. Explain what the director is testing. Choose the correct answer below. A. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually not gre B. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually not equ O c. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually equal ti D. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually greater 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 10 O B. Do not reject Ho. There is sufficient evidence to conclude that the mean IQ score of people in the country is greater t C. Reject Ho. There is not sufficient evidence to conclude that the mean IQ score of people in the country is greater thai O D. Do not reject Ho. There is not sufficient evidence to conclude that the mean IQ score of people in the country is grea (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 (1). rather than (2) the null hypothesis. If one (3) the null hypothesis, this indicates that the (4) is a specific value, such as 100, 101, or 102, and so the same data have been used to conclude that the (5) is three different values. If one (6) the null hypothesis, this indicates that the (7) could be 100, 101, or 102 or even some other value; we are simply not ruling them out as the value of the (8) Therefore, (9) the null hypothesis can lead to contradictory conclusions, whereas (10) does not. (1) not reject (2) not reject (3) (4) аcсepts does not reject population mean ассept ассept sample mean (5) O sample mean (6) O does not reject (7) O sample mean (8) O sample mean. population mean ассepts population mean population mean. (9) (10) О ассеpting ассepting not rejecting not rejecting
Transcribed Image Text:HW 10.3 (16 Questions)-Shams Ismael O D. Do not reject Ho. There is not sufficient evidence to conclude that the mean IQ score of people in the country is grea 11/17/21, 1:41 PM (c) Consider the hypotheses Ho: µ = 102 versus H,: µ> 102. Explain what the director is testing. Perform the test at the a = 0.05 level of significance. Write a conclusion for the test. Explain what the director is testing. Choose the correct answer below. A. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually not gre B. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually not equ O c. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually equal ti D. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually greater 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 10 O B. Do not reject Ho. There is sufficient evidence to conclude that the mean IQ score of people in the country is greater t C. Reject Ho. There is not sufficient evidence to conclude that the mean IQ score of people in the country is greater thai O D. Do not reject Ho. There is not sufficient evidence to conclude that the mean IQ score of people in the country is grea (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 (1). rather than (2) the null hypothesis. If one (3) the null hypothesis, this indicates that the (4) is a specific value, such as 100, 101, or 102, and so the same data have been used to conclude that the (5) is three different values. If one (6) the null hypothesis, this indicates that the (7) could be 100, 101, or 102 or even some other value; we are simply not ruling them out as the value of the (8) Therefore, (9) the null hypothesis can lead to contradictory conclusions, whereas (10) does not. (1) not reject (2) not reject (3) (4) аcсepts does not reject population mean ассept ассept sample mean (5) O sample mean (6) O does not reject (7) O sample mean (8) O sample mean. population mean ассepts population mean population mean. (9) (10) О ассеpting ассepting not rejecting not rejecting
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