Question

A fitness trainer claims that high intensity power training decreases the body fat percentages of females. The table below shows the body fat percentages of 8 females before and after 10 weeks of high intensity power training. At alpha

equals0.05​, is there enough evidence to support the​ trainer's claim? Assume the samples are random and​ dependent, and the population is normally distributed. Complete parts​ (a) through​ (e) below.

Body fat percentage​ (before)

24.5

25.4

27.6

28.8

25.3

23.1

25.3

28.6

Body fat percentage​ (after)	24.2

24.6

27.3

29.7

24.7

22.4

24.5

29.0

​(a) Identify the claim and state

Upper H 0 and Upper H Subscript a

​(b) Find the critical​ value(s) and identify the rejection​ region(s).

​(c) Calculate d overbar and s Subscript d

​(d) Find the standardized test statistic t.

​(e) Decide whether to reject or fail to reject the null hypothesis and interpret the decision in the context of the original claim.

Answer 1

as test statistic is not in reejction region we can not reject null hypothesis

we do not have evidence at 0.05 level to conclude that high intensity power training decreases the body fat percentages of females.