Answered: 3. A sample taken from a population…

3. A sample taken from a population yields a sample mean of 58.4. Calculate the p-value for each of the following circumstances: a. HA: μ> 58, n = 16, σ = 0.8. b. HA: μ # 45, n = 41, o = 35.407.

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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Question

3. A sample taken from a population yields a sample mean of 58.4. Calculate
the p-value for each of the following circumstances:
a. HA: μ> 58, n = 16, σ = 0.8.
b. HA: μ 45, n = 41, o = 35.407.

Expert Solution

Step 1

In testing of hypothesis, there are always two hypotheses - null and alternative. These two hypotheses must contradict each other. Based on the value of the test statistic, we calculate the p-value of the test. It represents the probability of getting results at least as extreme as the observed results of the test - this is under the assumption that the null hypothesis is true.

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