You may need to use the appropriate technology to answer this question. Consider the following hypothesis test. H0: μ = 100 Ha: μ ≠ 100 A sample of 65 is used. Identify the p-value and state your conclusion for each of the following sample results. Use ? = 0.05. (a) x = 103 and s = 11.5 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 sufficient evidence to conclude that μ ≠ 100.Do not reject H0. There is insufficient evidence to conclude that μ ≠ 100. Reject H0. There is sufficient evidence to conclude that μ ≠ 100.Reject H0. There is insufficient evidence to conclude that μ ≠ 100. (b) x = 96.5 and s = 11.0 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 sufficient evidence to conclude that μ ≠ 100.Do not reject H0. There is insufficient evidence to conclude that μ ≠ 100. Reject H0. There is sufficient evidence to conclude that μ ≠ 100.Reject H0. There is insufficient evidence to conclude that μ ≠ 100. (c) x = 102 and s = 10.5 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 =

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

Consider the following hypothesis test.

H₀: μ = 100

H_a: μ ≠ 100

A sample of 65 is used. Identify the p-value and state your conclusion for each of the following sample results. Use

? = 0.05.

(a)

x = 103 and s = 11.5

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 sufficient evidence to conclude that μ ≠ 100.Do not reject H₀. There is insufficient evidence to conclude that μ ≠ 100. Reject H₀. There is sufficient evidence to conclude that μ ≠ 100.Reject H₀. There is insufficient evidence to conclude that μ ≠ 100.

(b)

x = 96.5 and s = 11.0

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.

(c)

x = 102 and s = 10.5

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 =

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