A manager tests whether the mean of defective products from Shift A workers is t

Question

A manager tests whether the mean of defective products from Shift A workers is the same as the mean of defective products from Shift B workers at her factory. The workers represent people working to produce the same product at the same factory, and the only difference is that one set of workers works Shift A while the other set works Shift B. A statistical test at 95% confidence finds the following results:

Sample Size 20

Level of Significance 0.05

Mean Difference 2.25

t-Test Statistic -3.38

Lower critical value -1.65

Upper critical value 1.65

p-Value .0001

From the results, it is clear that...

Select one:

a. the null hypothesis should be rejected because the t-Test statistic is less than -1.65 at a p-value of .0001

b. the null hypothesis should be accepted because the t-Test statistic is less than -1.65 at a p-value of .0001

c. the alternative hypothesis should be rejected because the t-Test statistic is less than -1.65 at a p-value of .0001

d. there is not enough evidence here to draw a conclusion of statistical significance.

Explanation / Answer

Given

n = 20

t Test statistic = - 3.38

Level of significance = - 1.65 to 1.65

At a point value of 0.001 the value Of the Test statistic is

-3.38 which is less than - 1.65

In the other words p<alpha hence Null Hypothesis is rejected and alternate hypothesis is accepted

Hence option A is correct answer

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