Consider the following hypothesis test. H0: μ ≤ 12 Ha: μ > 12 A sample of 25 provided a sample mean x = 14 and a sample standard deviation s = 4.24. (a) Compute the value of the test statistic. (Round your answer to three decimal places.) ______________ (b) Use the t distribution table to compute a range for the p-value. p-value > 0.200 0.100 < p-value < 0.200 0.050 < p-value < 0.100 0.025 < p-value < 0.050 0.010 < p-value < 0.025 p-value < 0.010 (c) At α = 0.05, what is your conclusion? Reject H0. There is insufficient evidence to conclude that μ > 12. Reject H0. There is sufficient evidence to conclude that μ > 12. Do not reject H0. There is insufficient evidence to conclude that μ > 12. Do not reject H0. There is sufficient evidence to conclude that μ > 12. (d) What is the rejection rule using the critical value? (If the test is one-tailed, enter NONE for the unused tail. Round your answer to three decimal places.) test statistic ≤ test statistic ≥ What is your conclusion? Reject H0. There is insufficient evidence to conclude that μ > 12. Reject H0. There is sufficient evidence to conclude that μ > 12. Do not reject H0. There is insufficient evidence to conclude that μ > 12. Do not reject H0. There is sufficient evidence to conclude that μ > 12.

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: μ ≤ 12

H_a: μ > 12

A sample of 25 provided a sample mean

x = 14

and a sample standard deviation

s = 4.24.

(a)

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

(b)

Use the t distribution table to compute a range for the p-value.

p-value > 0.200 0.100 < p-value < 0.200 0.050 < p-value < 0.100 0.025 < p-value < 0.050 0.010 < p-value < 0.025 p-value < 0.010

(c)

α = 0.05,

what is your conclusion?

Reject H₀. There is insufficient evidence to conclude that μ > 12.

Reject H₀. There is sufficient evidence to conclude that μ > 12.

Do not reject H₀. There is insufficient evidence to conclude that μ > 12.

Do not reject H₀. There is sufficient evidence to conclude that μ > 12.

(d)

What is the rejection rule using the critical value? (If the test is one-tailed, enter NONE for the unused tail. Round your answer to three decimal places.)

test statistic ≤ test statistic ≥

What is your conclusion?

Reject H₀. There is insufficient evidence to conclude that μ > 12.

Reject H₀. There is sufficient evidence to conclude that μ > 12.

Do not reject H₀. There is insufficient evidence to conclude that μ > 12.

Do not reject H₀. There is sufficient evidence to conclude that μ > 12.

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