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. 15,852 25,804 1379 7533 19,373 15.070 13,657 25,856 18,268 17,581 12,548 17,437 15.936 18,141 24,585 13,356 Male Female 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, " 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 = 0 word(s) H₁: H0 word(s) (Type integers or decimals. Do not round.) Identify the test statistic. t= -0.47 (Round to two decimal places as needed.) Identify the P-value. P-value = 0.326 (Round to three decimal places as needed.). What is the conclusion based on the hypothesis test? C Since the P-value is greater than the significance level, fail to reject the null hypothesis. There is not 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). word(s)<< (Round to the nearest integer as needed.)
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. 15,852 25,804 1379 7533 19,373 15.070 13,657 25,856 18,268 17,581 12,548 17,437 15.936 18,141 24,585 13,356 Male Female 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, " 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 = 0 word(s) H₁: H0 word(s) (Type integers or decimals. Do not round.) Identify the test statistic. t= -0.47 (Round to two decimal places as needed.) Identify the P-value. P-value = 0.326 (Round to three decimal places as needed.). What is the conclusion based on the hypothesis test? C Since the P-value is greater than the significance level, fail to reject the null hypothesis. There is not 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). word(s)<< (Round to the nearest integer as needed.)
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.
15,852 25,804 1379 7533 19,373 15,070 13,657 25,856
24,585 13,356 18,268 17,581 12,548 17,437 15,936
18,141
Male
Female
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, " 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=0 word(s)
H₁ H
0 word(s)
(Type integers or decimals. Do not round.)
Identify the test statistic.
t= -0.47 (Round to two decimal places as needed.)
Identify the P-value.
P-value = 0.326 (Round to three decimal places as needed.)
What is the conclusion based on the hypothesis test?
Since the P-value is
greater than
the significance level, fail to reject the null hypothesis. There is not 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) <<
word(s).
(Round to the nearest integer as needed.)
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