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A sample of 50 provided a sample mean of 19.4. The population standard deviation is 2. (a) Find the value of the test statistic. (Round your answer to two decimal places.) -2.12 (b) Find the p-value. (Round your answer to four decimal places.) p-value = .0170 (c) Using a = 0.05, state your conclusion. O Reject Ho. There is sufficient evidence to conclude that u < 20. Reject Ho. There is insufficient evidence to conclude that u < 20. O Do not reject Ho. There is sufficient evidence to conclude that µ < 20. O Do not reject Ho. There is insufficient evidence to conclude that u < 20. (d) State the critical values for the rejection rule. (Round your answer to two decimal places. If the test is one-tailed, enter NONE for the unused tail.) test statistic< -1.645 test statistic 2 1.645 State your conclusion. O Reject Ho. There is sufficient evidence to conclude that u < 20. O Reject Ho. There is insufficient evidence to conclude that µ < 20. O Do not reject Ho. There is sufficient evidence to conclude that u < 20. O Do not reject Ho. There is insufficient evidence to conclude that u < 20.

A sample of 50 provided a sample mean of 19.4. The population standard deviation is 2. (a) Find the value of the test statistic. (Round your answer to two decimal places.) -2.12 (b) Find the p-value. (Round your answer to four decimal places.) p-value = .0170 (c) Using a = 0.05, state your conclusion. O Reject Ho. There is sufficient evidence to conclude that u < 20. Reject Ho. There is insufficient evidence to conclude that u < 20. O Do not reject Ho. There is sufficient evidence to conclude that µ < 20. O Do not reject Ho. There is insufficient evidence to conclude that u < 20. (d) State the critical values for the rejection rule. (Round your answer to two decimal places. If the test is one-tailed, enter NONE for the unused tail.) test statistic< -1.645 test statistic 2 1.645 State your conclusion. O Reject Ho. There is sufficient evidence to conclude that u < 20. O Reject Ho. There is insufficient evidence to conclude that µ < 20. O Do not reject Ho. There is sufficient evidence to conclude that u < 20. O Do not reject Ho. There is insufficient evidence to conclude that u < 20.

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
Section10.5: Comparing Sets Of Data
Problem 13PPS
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You may need to use the appropriate appendix table or technology to answer this question. Consider the following hypothesis test. Ho: µ 2 20 H2: µ < 20 A sample of 50 provided a sample mean of 19.4. The population standard deviation is 2. (a) Find the value of the test statistic. (Round your answer to two decimal places.) -2.12 (b) Find the p-value. (Round your answer to four decimal places.) p-value = .0170 (c) Using a = 0.05, state your conclusion. Reject Ho. There is sufficient evidence to conclude that u < 20. Reject Ho. There is insufficient evidence to conclude that u < 20. Do not reject Ho. There is sufficient evidence to conclude that u < 20. Do not reject Ho. There is insufficient evidence to conclude that u < 20. (d) State the critical values for the rejection rule. (Round your answer to two decimal places. If the test is one-tailed, enter NONE for the unused tail.) test statistic < -1.645 test statistic > 1.645 State your conclusion. Reject Ho. There is sufficient evidence to conclude that u < 20. Reject Ho. There is insufficient evidence to conclude that u < 20. Do not reject Ho: There is sufficient evidence to conclude that u < 20. Do not reject Ho. There is insufficient evidence to conclude that u < 20. 0'
Transcribed Image Text:You may need to use the appropriate appendix table or technology to answer this question. Consider the following hypothesis test. Ho: µ 2 20 H2: µ < 20 A sample of 50 provided a sample mean of 19.4. The population standard deviation is 2. (a) Find the value of the test statistic. (Round your answer to two decimal places.) -2.12 (b) Find the p-value. (Round your answer to four decimal places.) p-value = .0170 (c) Using a = 0.05, state your conclusion. Reject Ho. There is sufficient evidence to conclude that u < 20. Reject Ho. There is insufficient evidence to conclude that u < 20. Do not reject Ho. There is sufficient evidence to conclude that u < 20. Do not reject Ho. There is insufficient evidence to conclude that u < 20. (d) State the critical values for the rejection rule. (Round your answer to two decimal places. If the test is one-tailed, enter NONE for the unused tail.) test statistic < -1.645 test statistic > 1.645 State your conclusion. Reject Ho. There is sufficient evidence to conclude that u < 20. Reject Ho. There is insufficient evidence to conclude that u < 20. Do not reject Ho: There is sufficient evidence to conclude that u < 20. Do not reject Ho. There is insufficient evidence to conclude that u < 20. 0'
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