You may need to use the appropriate technology to answer this question. Consider the following hypothesis test. H 0 : μ ≥ 55 H a : μ


You may need to use the appropriate technology to answer this question.

Consider the following hypothesis test.


H0: μ ≥ 55

Ha: μ <>


A sample of 36 is used. Identify thep-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 thep-value. (Round your answer to four decimal places.)


p-value =

State your conclusion.


Do not rejectH
0. There is insufficient evidence to conclude that μ < 55.do="" not="">H
0. There is sufficient evidence to conclude that μ <>H
0. There is sufficient evidence to conclude that μ <>H
0. There is insufficient evidence to conclude that μ <>





(b)



x = 53 and s = 4.6


Find the value of the test statistic. (Round your answer to three decimal places.)


Find thep-value. (Round your answer to four decimal places.)


p-value =

State your conclusion.


Do not rejectH
0. There is insufficient evidence to conclude that μ < 55.do="" not="">H
0. There is sufficient evidence to conclude that μ <>H
0. There is sufficient evidence to conclude that μ <>H
0. There is insufficient evidence to conclude that μ <>





(c)



x = 56 and s = 4.0


Find the value of the test statistic.


Find thep-value. (Round your answer to four decimal places.)


p-value =

State your conclusion.


Do not rejectH
0. There is insufficient evidence to conclude that μ < 55.do="" not="">H
0. There is sufficient evidence to conclude that μ <>H
0. There is sufficient evidence to conclude that μ <>H
0. There is insufficient evidence to conclude that μ <>



Jun 05, 2022
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