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:
|
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
(c) What do you conclude about using the t test? What do you conclude about the mean ages of the trainers?