Are female personal trainers, on average, younger A

Chapter , Problem 16.94

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Are female personal trainers, on average, younger? A fitness center employs 20 personal trainers. Here are the ages in years of the female and male personal trainers working at this center: TRAIN Male 25 26 23 32 35 29 30 28 31 32 29 Female 21 23 22 23 20 29 24 19 22 (a) Make a back-to-back stemplot. Do you think the difference in mean ages will be significant? (b) A two-sample t test gives P 0.001 for the null hypothesis that the mean age of female personal trainers is equal to the mean age of male personal trainers. Do a two-sided permutation test to check the answer. (c) What do you conclude about using the t test? What do you conclude about the mean ages of the trainers?

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