A fitness trainer claims that high intensity power training decreases the body fat percentages of males. The table shows the body fat per- centages of 7 males before and after 10 weeks of high intensity power training. At a = 0.05, is there enough evidence to support the trainer's claim? Male 1 3 4 5 6 7 Body fat percentage (before) 23.2 22.0 19.0 23.0 21.2 21.8 23.4 Body fat percentage (after) 18.2 22.2 19.0 19.6 18.0 17.5 19.6
For each hypothesis test you complete, please answer questions (a)
through (i) listed below.
(a) What conditions should you check first before you con-
duct the hypothesis test?
(b) Write the null and alternative hypotheses.
(c) What type of test are you doing: right-tailed, left-tailed
or two-tailed?
(d) What formula should be used for the test statistic?
(e) What number is the test statistic equal to?
(f) Sketch a graph of the p-value
(g) What p-value do you obtain? Round to the ten-thousandths.
(h) Do you reject the null hypothesis or fail to reject the
null hypothesis? Explain.
(i) Please write a conclusion sentence, in the context of the
problem, that explains to a lay person the result of the hypothesis
test.
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