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Identify the p-value and state your conclusion for each of the following sample results. Use a = 0.01.

Identify the p-value and state your conclusion for each of the following sample results. Use a = 0.01.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Consider the following hypothesis test. Ho: μ ≥ 50 Hg: μ < 50 A sample of 36 is used. Identify the p-value and state your conclusion for each of the following sample results. Use a = 0.01. (a) x = 49 and s = 5.1 Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. Reject Ho. There is sufficient evidence to conclude that μ< 50. Do not reject Ho. There is sufficient evidence to conclude that μ < 50. Reject Ho. There is insufficient evidence to conclude that μ < 50. Do not reject Ho. There is insufficient evidence to conclude that μ< 50. (b) x = 48 and s = 4.7 Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. Reject Ho. There is sufficient evidence to conclude that μ< 50. Do not reject Ho. There is sufficient evidence to conclude that μ< 50. Reject Ho. There is insufficient evidence to conclude that μ< 50. O Do not reject Ho. There is insufficient evidence to conclude that μ< 50.
Transcribed Image Text:Consider the following hypothesis test. Ho: μ ≥ 50 Hg: μ < 50 A sample of 36 is used. Identify the p-value and state your conclusion for each of the following sample results. Use a = 0.01. (a) x = 49 and s = 5.1 Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. Reject Ho. There is sufficient evidence to conclude that μ< 50. Do not reject Ho. There is sufficient evidence to conclude that μ < 50. Reject Ho. There is insufficient evidence to conclude that μ < 50. Do not reject Ho. There is insufficient evidence to conclude that μ< 50. (b) x = 48 and s = 4.7 Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. Reject Ho. There is sufficient evidence to conclude that μ< 50. Do not reject Ho. There is sufficient evidence to conclude that μ< 50. Reject Ho. There is insufficient evidence to conclude that μ< 50. O Do not reject Ho. There is insufficient evidence to conclude that μ< 50.
(c) x = 51 and s = 5.0 Find the value of the test statistic. Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. Reject Ho. There is sufficient evidence to conclude that μ< 50. Do not reject Ho. There is sufficient evidence to conclude that μ < 50. O Reject Ho. There is insufficient evidence to conclude that μ< 50. Do not reject Ho. There is insufficient evidence to conclude that μ< 50.
Transcribed Image Text:(c) x = 51 and s = 5.0 Find the value of the test statistic. Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. Reject Ho. There is sufficient evidence to conclude that μ< 50. Do not reject Ho. There is sufficient evidence to conclude that μ < 50. O Reject Ho. There is insufficient evidence to conclude that μ< 50. Do not reject Ho. There is insufficient evidence to conclude that μ< 50.
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