Listed below are the numbers of words spoken in a day by each member of eight different randomly selected couples. Complete parts (a) and (b) below. 14,300 25,096 18,209 16,059 13,454 16,603 16,828 Male 16,166 26,007 1453 7712 Female 24,943 13,042 18,993 18,457 19,357 a. Use a 0.01 significance level to test the claim that among couples, males speak fewer words in ad than females. In this example, H. 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 O word(s) H: Ha 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 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) < Hg word(s).
Listed below are the numbers of words spoken in a day by each member of eight different randomly selected couples. Complete parts (a) and (b) below. 14,300 25,096 18,209 16,059 13,454 16,603 16,828 Male 16,166 26,007 1453 7712 Female 24,943 13,042 18,993 18,457 19,357 a. Use a 0.01 significance level to test the claim that among couples, males speak fewer words in ad than females. In this example, H. 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 O word(s) H: Ha 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 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) < Hg word(s).
Chapter8: Sequences, Series,and Probability
Section8.6: Counting Principles
Problem 5ECP: How many permutations of the letters W, X, Y, and Z are possible?
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Transcribed Image Text:Listed below are the numbers of words spoken in a day by each member of eight different randomly selected couples. Complete parts (a) and (b) below.
Male
16,166 26,007 1453
7712
18,209 16,059
14,300 25,096 O
Female 24,943
13.042 18,993
18,457
13,454
16,603 16,828 19,357
a. Use a 0.01 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
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 O word(s)
H: Ha
(Type integers or decimals. Do not round.)
word(s)
Identify the test statistic.
t=O (Round to two decimal places
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 to support the claim that males speak fewer words in a e
y 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).
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