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...

A researcher wants to compare the heights of males between generations to see if they differ. To do this, he samples<br>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<br>sample of sons. Suppose that data were collected for a random sample of 11 pairs, where each difference is calculated by<br>subtracting the height of the son from the height of the father. Assume that the heights are normally distributed. The test<br>statistic is t ~ 1 .971 , α-005, the corresponding rejection regions are t <-2228 and 〉 2.228, the null hypothesis is<br>Ho Ha0, and the alternative hypothesis is Ha Hd 0.<br>Select all that apply:<br>Reject the null hypothesis that the true mean difference between the height of the father and the height of the<br>son is equal to zero.<br>Fail to reject the null hypothesis that the true mean difference between the height of the father and the height of<br>the son is equal to zero.<br>Based on the results of the hypothesis test, there is enough evidence at the-0.05 level of significance to<br>suggest that the true mean difference between the height of the father and the height of the son is not equal to<br>zero.<br>Based on the results of the hypothesis test, there is not enough evidence at the 0.05 level of significance to<br>suggest that the true mean difference between the height of the father and the height of the son is not equal to<br>zero.<br>

Extracted 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. The test statistic is t ~ 1 .971 , α-005, the corresponding rejection regions are t <-2228 and="" 〉="" 2.228,="" the="" null="" hypothesis="" is="" ho="" ha0,="" and="" the="" alternative="" hypothesis="" is="" ha="" hd="" 0.="" select="" all="" that="" apply:="" reject="" the="" null="" hypothesis="" that="" the="" true="" mean="" difference="" between="" the="" height="" of="" the="" father="" and="" the="" height="" of="" the="" son="" is="" equal="" to="" zero.="" fail="" to="" reject="" the="" null="" hypothesis="" that="" the="" true="" mean="" difference="" between="" the="" height="" of="" the="" father="" and="" the="" height="" of="" the="" son="" is="" equal="" to="" zero.="" based="" on="" the="" results="" of="" the="" hypothesis="" test,="" there="" is="" enough="" evidence="" at="" the-0.05="" level="" of="" significance="" to="" suggest="" that="" the="" true="" mean="" difference="" between="" the="" height="" of="" the="" father="" and="" the="" height="" of="" the="" son="" is="" not="" equal="" to="" zero.="" based="" on="" the="" results="" of="" the="" hypothesis="" test,="" there="" is="" not="" enough="" evidence="" at="" the="" 0.05="" level="" of="" significance="" to="" suggest="" that="" the="" true="" mean="" difference="" between="" the="" height="" of="" the="" father="" and="" the="" height="" of="" the="" son="" is="" not="" equal="" to="">

Jun 01, 2022

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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...

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