Question: The attached file ArmyExerciseData are exercise capacities (minutes) for army inductees after a new training method was introduced. The capacity was measured with a bicycle ergometer. It is known that the mean for all army inductees equals 26.5 minutes. The army claims that the new training method significantly improved the time until a recruit was tired. Assume the data is normal. Using SPSS, answer the following questions with the data attached. Assume a two tail test.

a. State the Null and Alternate Hypotheses.

b. Consider Outliers and Missing Values as you have in previous assignments. Use Explore.

c. Handle Calculate a 95% Confidence Interval.

d. Verify your hand calculated(c above) 95% Confidence Interval for the Sample Mean by using SPSS.

e. Use SPSS to calculate the pvalue. See B5.

f. Evaluate your Hypothesis test at a level α = 0.05. Can the Army’s claim be supported? Make sure to include your pvalue, Zscore and level of significance in your evaluation. Be as detailed as possible.

i. Does your Confidence Interval agree with your evaluation of the Hypothesis test in “f” above? Why?

g. What is the probability of a Type 1 Error? What does this mean?