Listed in the accompanying table are heights in of mothers

Last updated: 4/1/2023

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 01 significance level to test the claim that there is no difference in heights between mothers and their first daughters www Mother 61 0 62 5 60 0 64 0 65 0 63 0 Daughter 63 5 63 5 60 0 68 0 67 0 63 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 Ho Pd in H Hd in Type integers or decimals Do not round 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 warrant rejection of the claim that there is no difference in heights between mothers and their first daughters