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Listed below are the numbers of words spokon in a day by each member of eight differant randomly selectod couples. Complete parts (a) and (b) below Male 15,394 25.400 1424 7724 19.124 16.089 13,706 24,823 D Female 24,950 13,913 18.529 18 241 12.726 16,505 16,518 18,624 a. Use a 0.01 significance level to test the claim that among couples, males speak fewer werds in a day than females. In this example, Pa is the mean value of the diferences 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 lt Ho Ha O word(s) H Ha 0 word(s) (Type intagers or decimals. Do not round) Identify the test statistic. t= - 0.59 (Round to two dacimal places as needed) Identify the P-value. Pvalue = 0.288 (Round to three decimal places as needed) What is the conclusion based on the hypothesis test? Shce the P-value is greater than the significance level, fall 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 confidance interval that could be used for the hypothesis test described in part (a). What feature of the confidenca interval laads to the same conclusion reached in part (a)? The confidance interval isword(s) < la word(s) (Round to the nearest integer as needed.)

Listed below are the numbers of words spokon in a day by each member of eight differant randomly selectod couples. Complete parts (a) and (b) below Male 15,394 25.400 1424 7724 19.124 16.089 13,706 24,823 D Female 24,950 13,913 18.529 18 241 12.726 16,505 16,518 18,624 a. Use a 0.01 significance level to test the claim that among couples, males speak fewer werds in a day than females. In this example, Pa is the mean value of the diferences 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 lt Ho Ha O word(s) H Ha 0 word(s) (Type intagers or decimals. Do not round) Identify the test statistic. t= - 0.59 (Round to two dacimal places as needed) Identify the P-value. Pvalue = 0.288 (Round to three decimal places as needed) What is the conclusion based on the hypothesis test? Shce the P-value is greater than the significance level, fall 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 confidance interval that could be used for the hypothesis test described in part (a). What feature of the confidenca interval laads to the same conclusion reached in part (a)? The confidance interval isword(s) < la word(s) (Round to the nearest integer as needed.)

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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Listed below are the numbers of words spoken in a day by each member of eight differant randomly selactad couples. Complete parts (a) and (b) belaw. Male 15,394 25,400 1424 7724 19,124 16,089 13,706 24,823 D Female 24,950 13,913 18.529 18.241 12.726 16,505 16,518 18,624 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, Pg 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 wvords spoken by the male minus words spoken by the female. What are the null and alternative hypotheses for the hypothesis test? Ho: Ha- 0 word(s) H, H < 0 word(s) (Type intagers or decimals. Do not round.) Identify the test statistic. t= -0.59 (Round to two dacimal places as needed) Identify the P-value. P-value = 0.288 (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, fall to reject the nul hypothesis. There is not sufficient evidence to support the claim that males speak fewer words in a day than females. b. Construct the confidance interval that could be used for the hypothesis test described in part (a). What feature of the confidence interval leads to tha same conclusion reached in part (a)? The confidance interval is word(s) < Heword(s). (Round to the nearest integer as needed.)
Transcribed Image Text:Listed below are the numbers of words spoken in a day by each member of eight differant randomly selactad couples. Complete parts (a) and (b) belaw. Male 15,394 25,400 1424 7724 19,124 16,089 13,706 24,823 D Female 24,950 13,913 18.529 18.241 12.726 16,505 16,518 18,624 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, Pg 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 wvords spoken by the male minus words spoken by the female. What are the null and alternative hypotheses for the hypothesis test? Ho: Ha- 0 word(s) H, H < 0 word(s) (Type intagers or decimals. Do not round.) Identify the test statistic. t= -0.59 (Round to two dacimal places as needed) Identify the P-value. P-value = 0.288 (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, fall to reject the nul hypothesis. There is not sufficient evidence to support the claim that males speak fewer words in a day than females. b. Construct the confidance interval that could be used for the hypothesis test described in part (a). What feature of the confidence interval leads to tha same conclusion reached in part (a)? The confidance interval is word(s) < Heword(s). (Round to the nearest integer as needed.)
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