Morgan City Fire Chief Sidney Pyro is concerned about the low efficiency scores that his firefighters receive at the state testing institute. Chief Pyro believes that these scores result because some...

Morgan City Fire Chief Sidney Pyro is concerned about the low efficiency scores that his firefighters receive at the state testing institute.  Chief Pyro believes that these scores result because some firefighters are not in good physical condition.  Pyro orders 75 randomly selected firefighters to participate in an hour of exercise per day.  Another 200 firefighters have no required exercise.  After 60 days, all firefighters are tested again by the state.  Chief Pyro collects the data and performs a two-sample independent t-test by using SPSS to examine if there is a statistically significant difference between the treatment and control groups; the SPSS results are shown in the table below.

1. Formulate a null and research hypothesis:
   
   
   
   • H₀:
   
   
   • H₁:
   
   
   
   


2. Collect all the necessary data:
   
   
   
   • Mean score of the treatment group:
   
   
   • Mean score of the control group:
   
   
   • Sample size of the treatment group:
   
   
   • Sample size of the control group:
   
   
   • Standard deviation of the treatment group:
   
   
   • Standard deviation of the control group:
   
   
   
   


3. Decide which test to use.


4. Determine the level of significance.

5.  Based on the results of Levene’s test, find the proper t test statistic and the p-value.

6.  Compare the test statistic to the critical value, and compare the p-value to the alpha level (level of significance).

7.  Reject, or do not reject, the null hypothesis.

8.  What is your conclusion?