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 1 1 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 researcher uses the alternative hypothesis Ha : μ₫ 0. Using a test statistic oft 1 .971 , which has 10 degrees of freedom, determine the range that contains the p-value. Probability Degrees of Freedom 5 6 0.10 0.05 0.025 0.01 0.005 1.476 1.440 1.415 1.397 1.383 1.372 1.363 1.356 1.350 1.345 1.341 2.015 1.943 1.895 1.860 1.833 1.812 1.796 1.782 2.571 2.447 2.365 2.306 2.262 2.228 2.201 2.179 2.160 2.145 2.131 3.365 3.143 2.998 2.896 2.821 2.764 2.718 2.681 2.650 2.624 2.602 4.032 3.707 3.499 3.355 3.250 3.169 3.106 3.055 3.012 2.977 2.947 1.761 1.753

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p-value>0.10

 

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0.01< p-value <0.05

 

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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 1 1 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
researcher uses the alternative hypothesis Ha : μ₫ 0. Using a test statistic oft 1 .971 , which has 10 degrees of
freedom, determine the range that contains the p-value.
Probability
Degrees of Freedom
5
6
0.10
0.05
0.025
0.01
0.005
1.476
1.440
1.415
1.397
1.383
1.372
1.363
1.356
1.350
1.345
1.341
2.015
1.943
1.895
1.860
1.833
1.812
1.796
1.782
2.571
2.447
2.365
2.306
2.262
2.228
2.201
2.179
2.160
2.145
2.131
3.365
3.143
2.998
2.896
2.821
2.764
2.718
2.681
2.650
2.624
2.602
4.032
3.707
3.499
3.355
3.250
3.169
3.106
3.055
3.012
2.977
2.947
1.761
1.753
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 1 1 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 researcher uses the alternative hypothesis Ha : μ₫ 0. Using a test statistic oft 1 .971 , which has 10 degrees of freedom, determine the range that contains the p-value. Probability Degrees of Freedom 5 6 0.10 0.05 0.025 0.01 0.005 1.476 1.440 1.415 1.397 1.383 1.372 1.363 1.356 1.350 1.345 1.341 2.015 1.943 1.895 1.860 1.833 1.812 1.796 1.782 2.571 2.447 2.365 2.306 2.262 2.228 2.201 2.179 2.160 2.145 2.131 3.365 3.143 2.998 2.896 2.821 2.764 2.718 2.681 2.650 2.624 2.602 4.032 3.707 3.499 3.355 3.250 3.169 3.106 3.055 3.012 2.977 2.947 1.761 1.753
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