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 15,615 27,300 1448 7488 18,410 16,027 14,297 26,771 Female 25,164 13,071 18,212 18,324 13,120 17,173 16,599 18,023 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, Hd 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 Oword(s) H₁ Hd <0 word(s) (Type integers or decimals. Do not round.) Identify the test statistic. t= -0.41 (Round to two decimal places as needed.) Identify the P-value. P-value = 0.346 (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) Ha 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. Male 15,615 27,300 1448 7488 18,410 16,027 14,297 26,771 Female 25,164 13,071 18,212 18,324 13,120 17,173 16,599 18,023 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, Hd 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 Oword(s) H₁ Hd <0 word(s) (Type integers or decimals. Do not round.) Identify the test statistic. t= -0.41 (Round to two decimal places as needed.) Identify the P-value. P-value = 0.346 (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) Ha word(s). < (Round to the nearest integer as needed.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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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
15,615 27,300 1448 7488 18,410 16,027 14,297 26,771
Female 25,164 13,071 18,212 18,324 13,120 17,173 16,599 18,023
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, Hd 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
Oword(s)
H₁ Hd
<0 word(s)
(Type integers or decimals. Do not round.)
Identify the test statistic.
t= -0.41 (Round to two decimal places as needed.)
Identify the P-value.
P-value = 0.346 (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) Ha word(s).
<
(Round to the nearest integer as needed.)
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