In Example 23.3 Chapter 23 of the textbook, we tested whetherthe average fat lost from 1 year of dieting versus 1 year ofexercise was equivalent. The study also measured lean body weight(muscle) lost or gained. The average for the 47 men who exercisedwas a gain of 0.1 kg, which can be thought of as a loss of –0.1 kg.The standard deviation was 2.2 kg. For the 42 men in the dietinggroup, there was an average loss of 1.3 kg, with a standarddeviation of 2.6 kg. Considering a level of significance of 0.05(5%), build a test of hypotheses to see whether the average leanbody mass lost would be different between dieting and exercisingfor the population of men similar to the ones in this study.
a) Is this a one-sided or two-sided test?
b) Specify all four steps of your hypothesis test. Use thestandard normal curve and Table 8.1 in Chapter 8 of the textbook tofind an approximate p-value.
