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Question #1
The accompanying table lists the numbers of words spoken in a day by each member of
56 different randomly selected couples. Complete parts (a) and (b) below.
View the data on words spoken in a day by the couples.
Words spoken in a day
|
Male
|
Female
|
|---|---|
|
28,916
|
19,097
|
|
17,080
|
23,982
|
|
5,369
|
5,101
|
|
28,363
|
17,816
|
|
25,958
|
10,524
|
|
8,297
|
16,688
|
|
20,503
|
12,766
|
|
15,942
|
18,586
|
|
26,897
|
11,822
|
|
22,664
|
18,230
|
|
11,691
|
17,815
|
|
11,359
|
12,247
|
|
11,760
|
16,633
|
|
19,899
|
24,852
|
|
20,136
|
4,675
|
|
583
|
19,210
|
|
20,966
|
24,220
|
|
11,870
|
16,819
|
|
21,854
|
14,898
|
|
16,588
|
13,262
|
|
14,299
|
29,193
|
|
20,147
|
9,699
|
|
6,488
|
17,425
|
|
6,670
|
4,257
|
|
25,126
|
12,358
|
|
8,885
|
20,050
|
|
11,650
|
12,185
|
|
11,007
|
20,530
|
|
13,225
|
21,563
|
|
17,576
|
12,187
|
|
15,501
|
32,599
|
|
11,094
|
8,358
|
|
21,258
|
10,835
|
|
16,072
|
11,993
|
|
9,672
|
30,769
|
|
16,233
|
20,536
|
|
15,667
|
15,234
|
|
10,681
|
19,018
|
|
20,321
|
20,477
|
|
12,068
|
15,802
|
|
12,135
|
20,271
|
|
5,839
|
10,714
|
|
17,772
|
16,656
|
|
12,418
|
17,437
|
|
17,611
|
27,629
|
|
17,122
|
39,582
|
|
19,794
|
24,246
|
|
38,025
|
33,139
|
|
18,890
|
25,482
|
|
47,513
|
30,859
|
|
26,649
|
18,741
|
|
8,841
|
6,988
|
|
17,131
|
23,928
|
|
11,009
|
17,533
|
|
6,267
|
16,681
|
|
19,354
|
26,245 |
a. Use a 0.05 significance level to test the claim that among couples, males speak fewer words in a day than females.
In this example, μd is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the words spoken by the male minus words spoken by the female. What are the null and alternative hypotheses for the hypothesis test?
H0: μd ________ ( A. =, B. ≠, C. <, D. > ) _______ words(s)
H1: μd _______ ( A. =, B. ≠, C. <, D. > ) ________ words(s)
(Type integers or decimals. Do not round.)
Identify the test statistic.
t= __________ (Round to two decimal places as needed.)
Identify the P-value.
P-value= ____________ (Round to three decimal places as needed.)
What is the conclusion based on the hypothesis test?
Since the P-value is ____________( A. less than or equal to, B. greater than ) the significance level, __________( A. Fail to reject, B. Reject ) the null hypothesis. There ___________ ( A. is not, B. is ) sufficient evidence to support the claim that males speak fewer words in a day than females.
b. Construct the confidence interval that could be used for the hypothesis test described in part (a). What feature of the confidence interval leads to the same conclusion reached in part (a)?
The confidence interval is __________ word(s) < μd < ___________ word(s).
(Round to one decimal place as needed.)
What feature of the confidence interval leads to the same conclusion reached in part (a)?
Since the confidence interval contains __________ ( A. zero, B. only positive numbers, C. only negative numbers ) ____________ ( A. fail to reject, B. reject ) the null hypothesis.
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