A researcher wants to compare the heights of males between generations to see if they differ. To do this, he samples random pairs of males who are at least 18 years old and their fathers. He then splits them into a sample of fathers and a sample of sons. Suppose that data were collected for a random sample of 11 pairs, where each difference is calculated by subtracting the height of the son from the height of the father. Assume that the heights are normally distributed. Using a test statistic of ț ~. 1 .971 , the significance level α-0.05, and the corresponding p-value between 0.05 and O. 10, draw a conclusion for the appropriate hypothesis test, where the null hypothesis is Ho·Ha-0 and the alternative hypothesis is Select all that apply: Reject the null hypothesis. Fail to reject the null hypothesis. The conclusion of the hypothesis test is that there is sufficient evidence to suggest that the heights of males between generations are different. The conclusion of the hypothesis test is that there is insufficient evidence to suggest that the heights of males between generations are different.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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A researcher wants to compare the heights of males between generations to see if they differ. To do this, he samples
random pairs of males who are at least 18 years old and their fathers. He then splits them into a sample of fathers and a
sample of sons. Suppose that data were collected for a random sample of 11 pairs, where each difference is calculated by
subtracting the height of the son from the height of the father. Assume that the heights are normally distributed. Using a
test statistic of ț ~. 1 .971 , the significance level α-0.05, and the corresponding p-value between 0.05 and O. 10, draw a
conclusion for the appropriate hypothesis test, where the null hypothesis is Ho·Ha-0 and the alternative hypothesis is
Select all that apply:
Reject the null hypothesis.
Fail to reject the null hypothesis.
The conclusion of the hypothesis test is that there is sufficient evidence to suggest that the heights of males
between generations are different.
The conclusion of the hypothesis test is that there is insufficient evidence to suggest that the heights of males
between generations are different.
Transcribed Image Text:A researcher wants to compare the heights of males between generations to see if they differ. To do this, he samples random pairs of males who are at least 18 years old and their fathers. He then splits them into a sample of fathers and a sample of sons. Suppose that data were collected for a random sample of 11 pairs, where each difference is calculated by subtracting the height of the son from the height of the father. Assume that the heights are normally distributed. Using a test statistic of ț ~. 1 .971 , the significance level α-0.05, and the corresponding p-value between 0.05 and O. 10, draw a conclusion for the appropriate hypothesis test, where the null hypothesis is Ho·Ha-0 and the alternative hypothesis is Select all that apply: Reject the null hypothesis. Fail to reject the null hypothesis. The conclusion of the hypothesis test is that there is sufficient evidence to suggest that the heights of males between generations are different. The conclusion of the hypothesis test is that there is insufficient evidence to suggest that the heights of males between generations are different.
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