You may need to use the appropriate technology to answer this question. Consider the following hypothesis test. H0: μ ≥ 55 Ha: μ < 55 A sample of 36 is used. Identify the p-value and state your conclusion for each of the following sample results. Use  ? = 0.01. (a) x = 54 and s = 5.3 Find the value of the test statistic. (Round your answer to three decimal places.)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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You may need to use the appropriate technology to answer this question.
Consider the following hypothesis test.
H0: μ ≥ 55
Ha: μ < 55
A sample of 36 is used. Identify the p-value and state your conclusion for each of the following sample results. Use 
? = 0.01.
(a)
x = 54 and s = 5.3
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.
Do not reject H0. There is insufficient evidence to conclude that μ < 55.Do not reject H0. There is sufficient evidence to conclude that μ < 55.    Reject H0. There is sufficient evidence to conclude that μ < 55.Reject H0. There is insufficient evidence to conclude that μ < 55.
(b)
x = 53 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.
Do not reject H0. There is insufficient evidence to conclude that μ < 55.Do not reject H0. There is sufficient evidence to conclude that μ < 55.    Reject H0. There is sufficient evidence to conclude that μ < 55.Reject H0. There is insufficient evidence to conclude that μ < 55.
(c)
x = 56 and s = 4.0
Find the value of the test statistic.
 
Find the p-value. (Round your answer to four decimal places.)
p-value = 
State your conclusion.
Do not reject H0. There is insufficient evidence to conclude that μ < 55.Do not reject H0. There is sufficient evidence to conclude that μ < 55.    Reject H0. There is sufficient evidence to conclude that μ < 55.Reject H0. There is insufficient evidence to conclude that μ < 55.
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