A fitness trainer claims that high intensity power training decreases the body fat percentages of females. The table shows the body fat percentages of 8 females before and after 10 weeks of high intensity power training. At α = 0.05, is there enough evidence to support the trainer’s claim?

 (a) Identify the claim and state H₀ and H_a,

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

(c) Calculate d̅ and s_d,

(d) Find the standardized test statistic t,

(e) Decide whether to reject or fail to reject the null hypothesis,

(f) Interpret the decision in the context of the original claim. Assume the samples are random and dependent, and the populations are normally distributed. If convenient, use technology.

Transcribed Image Text:

Female Body fat percentage Body fat percentage (after) 23. 2 34 before 6 24.6 28.426.8 21.6 25.424.8 1 Female Body fat percentage (before) 23.3 22.5 27.225.2 Body fat percentage (after) 18.3 23.5 22.225.4