Listed in the accompanying table are heights (in.) of mothers and their first daughters. The data...
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Listed in the accompanying table are heights (in.) of mothers and their first daughters. The data pairs are from a journal kept by Francis Galton. Use the listed paired sample data, and assume that the samples are simple random samples and that the differences have a distribution that is approximately normal. Use a 0.05 significance level to test the claim that there is no difference in heights between mothers and their first daughters. Mother Daughter 60.0 64.5 60.0 65.0 62.0 65.0 64.7 65.5 65.0 67.0 68.0 66.5 60.0 62.0 68.0 69.0 66.5 63.0 68.0 62.0 In this example, d 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 daughter's height minus the mother's height. What are the null and alternative hypotheses for the hypothesis test? in. Ho Hal in. H Hd (Type integers or decimals. Do not round.) Identify the test statistic. t= (Round to two decimal places as needed.) Identify the P-value. P-value= (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? Since the P-value is the significance level, the null hypothesis. There sufficient evidence to wa rant rejection of the claim that there is no difference in heights between mothers and their first daughters. Listed in the accompanying table are heights (in.) of mothers and their first daughters. The data pairs are from a journal kept by Francis Galton. Use the listed paired sample data, and assume that the samples are simple random samples and that the differences have a distribution that is approximately normal. Use a 0.05 significance level to test the claim that there is no difference in heights between mothers and their first daughters. Mother Daughter 60.0 64.5 60.0 65.0 62.0 65.0 64.7 65.5 65.0 67.0 68.0 66.5 60.0 62.0 68.0 69.0 66.5 63.0 68.0 62.0 In this example, d 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 daughter's height minus the mother's height. What are the null and alternative hypotheses for the hypothesis test? in. Ho Hal in. H Hd (Type integers or decimals. Do not round.) Identify the test statistic. t= (Round to two decimal places as needed.) Identify the P-value. P-value= (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? Since the P-value is the significance level, the null hypothesis. There sufficient evidence to wa rant rejection of the claim that there is no difference in heights between mothers and their first daughters.
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