Listed below are the numbers of words spoken in a day by each member of eight different randomly selected couples. Compa Male 16,157 25.829 1395 8071 18.389 15,835 14,536 26,744 O Female 24,483 13,192 18,156 17,633 12.556 16,421 15,826 18,164 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? Hy words) H₂: word(s) (Type integers or decimals. Do not round) Identify the test statistic t(Round to two decimal places as needed.) P Identify the P-value. P-value (Round to three decimal places as nee What is the conclusion based on the hypothesis test? Since the P-value is the significance level, the null hypothesis. There 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 isword(s)
Listed below are the numbers of words spoken in a day by each member of eight different randomly selected couples. Compa Male 16,157 25.829 1395 8071 18.389 15,835 14,536 26,744 O Female 24,483 13,192 18,156 17,633 12.556 16,421 15,826 18,164 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? Hy words) H₂: word(s) (Type integers or decimals. Do not round) Identify the test statistic t(Round to two decimal places as needed.) P Identify the P-value. P-value (Round to three decimal places as nee What is the conclusion based on the hypothesis test? Since the P-value is the significance level, the null hypothesis. There 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 isword(s)
Chapter8: Sequences, Series,and Probability
Section8.6: Counting Principles
Problem 21E: License Plate Numbers In the state of Pennsylvania, each standard automobile license plate number...
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