Consider the following hypothesis test. H0: μ ≤ 50 Ha: μ > 50 A sample of 60 is used and the population standard deviation is 8. Use the critical value approach to state your conclusion for each of the following sample results. Use α = 0.05. (Round your answers to two decimal places.) (a) x = 52.5 Find the value of the test statistic. State the critical values for the rejection rule. (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 μ > 50.Do not reject H0. There is sufficient evidence to conclude that μ > 50. Do not reject H0. There is insufficient evidence to conclude that μ > 50.Reject H0. There is insufficient evidence to conclude that μ > 50. (b) x = 51 Find the value of the test statistic. State the critical values for the rejection rule. (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 μ > 50.Do not reject H0. There is sufficient evidence to conclude that μ > 50. Do not reject H0. There is insufficient evidence to conclude that μ > 50.Reject H0. There is insufficient evidence to conclude that μ > 50. (c) x = 51.9 Find the value of the test statistic. State the critical values for the rejection rule. (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 μ > 50.Do not reject H0. There is sufficient evidence to conclude that μ > 50. Do not reject H0. There is insufficient evidence to conclude that μ > 50.Reject H0. There is insufficient evidence to conclude that μ > 50.

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 ≤ 50

H_a: μ > 50

A sample of 60 is used and the population standard deviation is 8. Use the critical value approach to state your conclusion for each of the following sample results. Use

α = 0.05.

(Round your answers to two decimal places.)

(a)

x = 52.5

Find the value of the test statistic.

State the critical values for the rejection rule. (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 μ > 50.Do not reject H₀. There is sufficient evidence to conclude that μ > 50. Do not reject H₀. There is insufficient evidence to conclude that μ > 50.Reject H₀. There is insufficient evidence to conclude that μ > 50.

(b)

x = 51

Find the value of the test statistic.

State the critical values for the rejection rule. (If the test is one-tailed, enter NONE for the unused tail.)

test statistic≤test statistic≥

State your conclusion.

(c)

x = 51.9

Find the value of the test statistic.

State the critical values for the rejection rule. (If the test is one-tailed, enter NONE for the unused tail.)

test statistic≤test statistic≥

State your conclusion.

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