Answered: Please use the following information to…

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

Please use the following information to answer 3a-3c:

A random sample is selected from a normal population with a mean of µ = 30 and a standard deviation of σ= 8. After a treatment is administered to the individuals in the sample, the sample mean is found to be x̅ =33.

Furthermore, if the sample consists of n = 16 scores, is the sample mean sufficient to conclude that the treatment has a significant effect? Use a two-tailed test with α = .05.

3a. Which of the following correctly represents the null and alternative hypothesis for the mentioned sample of n =16 (MUST SHOW WORK FOR THIS PROBLEM)?

a. Ho: µ ≥ 30 , H_1:µ < 30

b. Ho: µ = 30, H_1:µ ≠ 30

c. Ho: µ ≤ 30, H_1:µ > 30

d. Ho: µ > 30, H_1:µ ≤ 30

3b. Which of the following represents the critical region for this mentioned sample (MUST SHOW WORK FOR THIS PROBLEM)?

a. z = 1.65

b. z = -1.96

c. z = ±1.96

d. z = ±1.65

3c. Compute the test statistic(z-observed) for the mentioned sample (MUST SHOW WORK FOR THIS PROBLEM).

Note: Must show calculations for standard error alongside the calculations for the test statistic.

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