You may need to use the appropriate technology to answer this question. Consider the following hypothesis test. Ηγ: μ. Σ. 40 H₂:μ< 40 A sample of 36 is used. Identify the p-value and state your conclusion for each of the following sample results. Use α = 0.01. (a) x = 39 and s = 5.1 Find the value of the test statistic. (Round your answer to three decimal places.) -1.18 X Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. Reject Ho. There is insufficient evidence to conclude that μ< 40. Do not reject Ho. There is insufficient evidence to conclude that μ < 40. Do not reject Ho. There is sufficient evidence to conclude that μ< 40. Reject Ho. There is sufficient evidence to conclude that μ < 40. (b) x = 38 and s = 4.6 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 insufficient evidence to conclude that μ< 40. Do not reject Ho. There is insufficient evidence to conclude that μ < 40. Do not reject Ho. There is sufficient evidence to conclude that μ < 40. Reject Ho. There is sufficient evidence to conclude that u < 40. (c) x = 41 and s = 6.0 Find the value of the test statistic. Find the p-value. (Round your answer to four decimal places.) D-value
You may need to use the appropriate technology to answer this question. Consider the following hypothesis test. Ηγ: μ. Σ. 40 H₂:μ< 40 A sample of 36 is used. Identify the p-value and state your conclusion for each of the following sample results. Use α = 0.01. (a) x = 39 and s = 5.1 Find the value of the test statistic. (Round your answer to three decimal places.) -1.18 X Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. Reject Ho. There is insufficient evidence to conclude that μ< 40. Do not reject Ho. There is insufficient evidence to conclude that μ < 40. Do not reject Ho. There is sufficient evidence to conclude that μ< 40. Reject Ho. There is sufficient evidence to conclude that μ < 40. (b) x = 38 and s = 4.6 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 insufficient evidence to conclude that μ< 40. Do not reject Ho. There is insufficient evidence to conclude that μ < 40. Do not reject Ho. There is sufficient evidence to conclude that μ < 40. Reject Ho. There is sufficient evidence to conclude that u < 40. (c) x = 41 and s = 6.0 Find the value of the test statistic. Find the p-value. (Round your answer to four decimal places.) D-value
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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Transcribed Image Text:You may need to use the appropriate technology to answer this question.
Consider the following hypothesis test.
Ho: μ ≥ 40
Hg: μ < 40
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 = 39 and s = 5.1
Find the value of the test statistic. (Round your answer to three decimal places.)
-1.18
X
Find the p-value. (Round your answer to four decimal places.)
p-value =
State your conclusion.
O Reject Ho. There is insufficient evidence to conclude that μ< 40.
Do not reject Ho. There is insufficient evidence to conclude that u < 40.
Do not reject Ho. There is sufficient evidence to conclude that μ < 40.
Reject Ho. There is sufficient evidence to conclude that μ < 40.
(b) x = 38 and s = 4.6
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 insufficient evidence to conclude that μ< 40.
Do not reject Ho. There is insufficient evidence to conclude that μ < 40.
Do not reject Ho. There is sufficient evidence to conclude that μ < 40.
Reject Ho. There is sufficient evidence to conclude that μ < 40.
(c) x 41 and s = 6.0
Find the value of the test statistic.
Find the p-value. (Round your answer to four decimal places.)
p-value =
Expert Solution
Step 1
The hypothesized mean is 40, the sample size n is 36 and the test is left-tailed.
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