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. Ho: Ha in. H₁: Hd (Type integers or decimals. Do not round.) C In this example, H 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. Mother 62.0 61.0 66.5 63.5 64.0 69.0 64.0 63.0 63.0 68.0 Daughter 66.0 63.5 65.5 63.7 67.0 67.0 66.0 62.0 66.0 68.5

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I need help finding the test statistics and p-value. Please help
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.
Ho: Ha
in.
H₁: Hd
(Type integers or decimals. Do not round.)
C
In this example, H 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.
Mother 62.0 61.0 66.5 63.5 64.0 69.0 64.0 63.0 63.0 68.0
Daughter 66.0 63.5 65.5 63.7 67.0 67.0 66.0 62.0 66.0 68.5
Transcribed Image Text: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. Ho: Ha in. H₁: Hd (Type integers or decimals. Do not round.) C In this example, H 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. Mother 62.0 61.0 66.5 63.5 64.0 69.0 64.0 63.0 63.0 68.0 Daughter 66.0 63.5 65.5 63.7 67.0 67.0 66.0 62.0 66.0 68.5
In this example, Hd 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: Hd = 0 in.
H₁: Hd # 0 in.
(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-
What is the conclusion based on the hypothesis test?
Since the P-value is greater than the significance level, do not reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that
Round to three decimal places as needed.)
Transcribed Image Text:In this example, Hd 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: Hd = 0 in. H₁: Hd # 0 in. (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- What is the conclusion based on the hypothesis test? Since the P-value is greater than the significance level, do not reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that Round to three decimal places as needed.)
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