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.
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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