A series of six studies investigated the number of words women and men speak per day. The results from one of these studies are shown.
The table gives the estimated numbers of words spoken per day for 27 women.
15,357
13,618
9,783
26,451
12,151
8,391
19,763
25,246
8,427
6,998
24,814
6,272
10,047
15,569
39,681
23,079
24,814
19,287
10,351
8,866
10,827
12,584
12,764
19,086
26,852
17,639
16,616
The table gives the estimated numbers of words spoken per day for 20 men.
28,408
10,054
15,931
21,688
37,786
10,575
12,880
11,071
17,799
13,182
8,918
6,495
8,153
7,015
4,429
10,054
3,998
12,639
10,974
5,255
(a) Make stemplots for both samples. Are there any obvious deviations from Normality? Is it safe to use the t procedure? Select the correct response.
There is no skew in both populations.
None of the options are correct.
There is some skew in both populations, but the sample sizes should be large enough to overcome this problem.
There is some skew in both populations, but the sample sizes are not large enough to overcome this problem.
(b) Test the hypothesis H0:μ1=μ2 against the one-sided alternative that the mean number of words per day for women (μ1) is greater than the mean number of words per day for men (μ2).
Which of the given conclusions is correct?
None of the options are correct.
There is some evidence that, on average, women say more words than men, but the evidence is not particularly strong.
There is strong evidence that, on average, women say more words than men.
There is no evidence that, on average, women say more words than men.