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Consider the following hypothesis test. Ho: μ ≤ 25 H₂:μ > 25 A sample of 40 provided a sample mean of 26.1. The population standard deviation is 6. (a) Find the value of the test statistic. (Round your answer to two decimal places.) 1.16 (b) Find the p-value. (Round your answer to four decimal places.) p-value = 0.1230 (c) At a = 0.01, state your conclusion. O Reject Ho. There is sufficient evidence to conclude that μ > 25. O Reject Ho. There is insufficient evidence to conclude that μ > 25. O Do not reject Hō. There is sufficient evidence to conclude that μ > 25. • Do not reject Ho. There is insufficient evidence to conclude that μ > 25. (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 ≤ 26.1 X test statistic ≥ 2.33 State your conclusion. O Reject Ho. There is sufficient evidence to conclude that μ > 25. O Reject H₂. There is insufficient evidence to conclude that μ > 25. O Do not reject Ho. There is sufficient evidence to conclude that μ > 25. Ⓒ Do not reject Ho. There is insufficient evidence to conclude that μ > 25.

Consider the following hypothesis test. Ho: μ ≤ 25 H₂:μ > 25 A sample of 40 provided a sample mean of 26.1. The population standard deviation is 6. (a) Find the value of the test statistic. (Round your answer to two decimal places.) 1.16 (b) Find the p-value. (Round your answer to four decimal places.) p-value = 0.1230 (c) At a = 0.01, state your conclusion. O Reject Ho. There is sufficient evidence to conclude that μ > 25. O Reject Ho. There is insufficient evidence to conclude that μ > 25. O Do not reject Hō. There is sufficient evidence to conclude that μ > 25. • Do not reject Ho. There is insufficient evidence to conclude that μ > 25. (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 ≤ 26.1 X test statistic ≥ 2.33 State your conclusion. O Reject Ho. There is sufficient evidence to conclude that μ > 25. O Reject H₂. There is insufficient evidence to conclude that μ > 25. O Do not reject Ho. There is sufficient evidence to conclude that μ > 25. Ⓒ Do not reject Ho. There is insufficient evidence to conclude that μ > 25.

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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Consider the following hypothesis test. Ho: μ ≤ 25 H₂:μ > 25 A sample of 40 provided a sample mean of 26.1. The population standard deviation is 6. (a) Find the value of the test statistic. (Round your answer to two decimal places.) 1.16 (b) Find the p-value. (Round your answer to four decimal places.) p-value = 0.1230 (c) At a = 0.01, state your conclusion. O Reject Ho. There is sufficient evidence to conclude that μ > 25. O Reject Ho. There is insufficient evidence to conclude that μ > 25. O Do not reject Hō. There is sufficient evidence to conclude that μ > 25. • Do not reject Ho. There is insufficient evidence to conclude that μ > 25. (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 ≤ 26.1 X test statistic ≥ 2.33 State your conclusion. O Reject Ho. There is sufficient evidence to conclude that μ > 25. O Reject H₂. There is insufficient evidence to conclude that μ > 25. O Do not reject Ho. There is sufficient evidence to conclude that μ > 25. Ⓒ Do not reject Ho. There is insufficient evidence to conclude that μ > 25.
Transcribed Image Text:Consider the following hypothesis test. Ho: μ ≤ 25 H₂:μ > 25 A sample of 40 provided a sample mean of 26.1. The population standard deviation is 6. (a) Find the value of the test statistic. (Round your answer to two decimal places.) 1.16 (b) Find the p-value. (Round your answer to four decimal places.) p-value = 0.1230 (c) At a = 0.01, state your conclusion. O Reject Ho. There is sufficient evidence to conclude that μ > 25. O Reject Ho. There is insufficient evidence to conclude that μ > 25. O Do not reject Hō. There is sufficient evidence to conclude that μ > 25. • Do not reject Ho. There is insufficient evidence to conclude that μ > 25. (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 ≤ 26.1 X test statistic ≥ 2.33 State your conclusion. O Reject Ho. There is sufficient evidence to conclude that μ > 25. O Reject H₂. There is insufficient evidence to conclude that μ > 25. O Do not reject Ho. There is sufficient evidence to conclude that μ > 25. Ⓒ Do not reject Ho. There is insufficient evidence to conclude that μ > 25.
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