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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? Ho: Pa H₁ Hd O word(s) Oword(s) (Type integers or decimals. Do not round.) Identify the test statistic. t=0.51 (Round to two decimal places as needed.) Identify the P-value. P-value = 0.312 (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 - 8297" word(s) <μd < 4767 word(s). (Round to the nearest integer as needed.) What feature of the confidence interval leads to the same conclusion reached in part (a)? Since the confidence interval contains zero, fail to reject the null hypothesis. 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 16,197 27,460 1389 7770 19,255 15,036 14,486 25,954 Female 24,475 12,901 18,254 17,383 13,218 16,481 16,017 18,976

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? Ho: Pa H₁ Hd O word(s) Oword(s) (Type integers or decimals. Do not round.) Identify the test statistic. t=0.51 (Round to two decimal places as needed.) Identify the P-value. P-value = 0.312 (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 - 8297" word(s) <μd < 4767 word(s). (Round to the nearest integer as needed.) What feature of the confidence interval leads to the same conclusion reached in part (a)? Since the confidence interval contains zero, fail to reject the null hypothesis. 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 16,197 27,460 1389 7770 19,255 15,036 14,486 25,954 Female 24,475 12,901 18,254 17,383 13,218 16,481 16,017 18,976

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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? Ho: Pa H₁ Hd O word(s) Oword(s) (Type integers or decimals. Do not round.) Identify the test statistic. t=0.51 (Round to two decimal places as needed.) Identify the P-value. P-value = 0.312 (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 - 8297" word(s) <μd < 4767 word(s). (Round to the nearest integer as needed.) What feature of the confidence interval leads to the same conclusion reached in part (a)? Since the confidence interval contains zero, fail to reject the null hypothesis.
Transcribed Image Text: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? Ho: Pa H₁ Hd O word(s) Oword(s) (Type integers or decimals. Do not round.) Identify the test statistic. t=0.51 (Round to two decimal places as needed.) Identify the P-value. P-value = 0.312 (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 - 8297" word(s) <μd < 4767 word(s). (Round to the nearest integer as needed.) What feature of the confidence interval leads to the same conclusion reached in part (a)? Since the confidence interval contains zero, fail to reject the null hypothesis.
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 16,197 27,460 1389 7770 19,255 15,036 14,486 25,954 Female 24,475 12,901 18,254 17,383 13,218 16,481 16,017 18,976
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 16,197 27,460 1389 7770 19,255 15,036 14,486 25,954 Female 24,475 12,901 18,254 17,383 13,218 16,481 16,017 18,976
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