Consider the following hypothesis test.H0: ? ≤ 25Ha: ? > 25A sample of 40 provided a sample mean of 26.7. The population standard deviation is 6.(a)Find the value of the test statistic. (Round your answer to two decimal places.) (b)Find the p-value. (Round your answer to four decimal places.)p-value =(c)At? = 0.01,state your conclusion.Reject H0. There is sufficient evidence to conclude that ? > 25.Reject H0. There is insufficient evidence to conclude that ? > 25. Do not reject H0. There is sufficient evidence to conclude that ? > 25.Do not reject H0. There is insufficient evidence to conclude that ? > 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 ≤test statistic ≥State your conclusion.Reject H0. There is sufficient evidence to conclude that ? > 25.Reject H0. There is insufficient evidence to conclude that ? > 25. Do not reject H0. There is sufficient evidence to conclude that ? > 25.Do not reject H0. There is insufficient evidence to conclude that ? > 25.

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Description: Consider the following hypothesis test.H0: ? ≤ 25Ha: ? > 25A sample of 40 provided a sample mean of 26.7. The population standard deviation is 6.(a)Find the value of the test statistic. (Round your answer to two decimal places.) (b)Find the p-value.

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Answered: Consider the following hypothesis test.…

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.

H₀: ? ≤ 25

H_a: ? > 25

A sample of 40 provided a sample mean of 26.7. The population standard deviation is 6.

(a)

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

(b)

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

p-value =

(c)

? = 0.01,

state your conclusion.

Reject H₀. There is sufficient evidence to conclude that ? > 25.Reject H₀. There is insufficient evidence to conclude that ? > 25. Do not reject H₀. There is sufficient evidence to conclude that ? > 25.Do not reject H₀. There is insufficient evidence to conclude that ? > 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 ≤test statistic ≥

State your conclusion.

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