Question

In: Statistics and Probability

An industrial psychologist is concerned that recent round of layoffs at a plant might have affected...

An industrial psychologist is concerned that recent round of layoffs at a plant might have affected the stress felt by employees who retained their positions. To measure whether the employees experienced a change in stress, the psychologist administered a stress measure to a sample of employees before and after the layoffs occurred. Below are the data from the psychologist’s study; higher numbers correspond to higher stress levels.

Before

After

4

6

3

5

7

6

5

7

2

4

6

6

5

7

5

8

6

6

8

3

    1. What are the null and alternative hypotheses?
    2. State your critical value(s) using α = .05.  
    3. Compute the observed value of the test statistic.
    4. What is your decision regarding the null hypothesis (Reject or Fail to Reject the null hypothesis)?
    5. What is your conclusion in the context of the problem? (State your conclusion in terms of the alternative hypothesis (in words) because the alternative hypothesis is the research question we are interested in answering).
  1. f. What is the 95% confidence interval?

Solutions

Expert Solution

As we fail to reject Ho at 5% los, we conclude that the claim is false that the the employees experienced a changed in stress.

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