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. E Click the icon to view the data on words spoken in a day by the couples. 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, Ha 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? Họ: Ha word(s) H: Ha VO word(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 V the significance level, V the null hypothesis. There V sufficient evidence 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)
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. E Click the icon to view the data on words spoken in a day by the couples. 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, Ha 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? Họ: Ha word(s) H: Ha VO word(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 V the significance level, V the null hypothesis. There V sufficient evidence 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)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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7.
Transcribed Image Text:Words Spoken In A Day
Male
Female O
25,661
15,728
5,012
28,531
24,849
6,296
20,235
18,982
27,825
21,525
11,566
12,066
11,021
19,720
20,651
3,229
22,159
8,360
18,242
15,233
16,353
19,037
7,262
6,562
24,914
12,137
13,672
12,806
13,855
17,352
22,314
24,377
4,836
20,187
10,011
14,750
9,972
19,517
11,563
16,983
15,219
13,485
18,999
21,697
6,100
18,324
23,216
16,924
16,660
14,331
28,668
8,545
19,117
4,331
10,426
17,295
14,072
20,893
21,777
11,213
33,777
13,279
Transcribed Image Text: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.
Click the icon to view the data on words spoken in a day by the couples.
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, µa 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?
Ho: Hd
word(s)
word(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
the significance level,
the null hypothesis. There
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) < Ha <
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
the null hypothesis.
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