Provided are the SAT mathematics scores of a random sample of seven students selected from the freshman class at Georgia Southern University.
(a) Compute the mean SAT mathematics score for this sample. Give your answer to one decimal place.
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(b) Generate three bootstrap samples by resampling from the original sample of Georgia Southern University SAT mathematics scores. Use
TABLEB_RANDOM_DIGITS beginning at line 116 , what are the first seven entries selected (representing the first sample)?
1,4,5,2,6,3,7 which correspond to 470,570,470,690,680,540, and 710 .
1,4,5,9,2,6,0 which correspond to 470,570,470,710,690,680, and 470 .
1,4,4,5,9,2,6 which correspond to 470,570,570,470,710,680, and 470 .
1,4,4,5,2,6,5 which correspond to 470,570,570,470,690,680, and 470 .
(c) Compute the mean from the first bootstrap samples. Give your answer to one decimal place.
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(d) Continuing on line 116, where are the next seven entries selected (representing the second sample)?
0,5,6,3,1,4,2 which correspond to 470,470,680,540,470,570, and 690 .
1,4,4,5,2,6,5 which correspond to 470,570,570,470,690,680, and 470 .
6,3,1,4,2,4,3 which correspond to 680,540,470,570,690,570, and 540 .
6,3,1,4,2,4,8 which correspond to 680,540,470,570,690,570, and 710 .
(e) Compute the mean from the second bootstrap samples. Give your answer to one decimal place.
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(f) Continuing on line 116 , where are the next seven entries selected (representing the third sample)?
4,8,0,3,7,1,6 which correspond to 570,710,470,540,710,470, and 680 .
1,4,4,5,2,6,5 which correspond to 470,570,570,470,690,680, and 470 .
7,1,6,5,1,3,6 which correspond to 710,470,680,470,470,540, and 680 .
7,1,6,5,1,0,3 which correspond to 710,470,680,470,470,470, and 540 .
(g) Compute the mean from the third bootstrap samples. Give your answer to one decimal place.
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(h) How do the means of the bootstrap samples compare to the mean of the original sample? Is this what you would expect? Explain.
In this case, the means are all "close" to the original sample mean, but are all more than that mean. This would be expected as the range of the
samples is relatively small and there are no outliers.
In this case, the means are all "close" to the original sample mean, but are all less than that mean. This would be expected as the range of the samples
is relatively small and there are no outliers.
In this case, the means are all "close" to the original sample mean, but are all less than that mean. This would not be expected as the range of the
samples is relatively large and there are outliers.
Provided are the SAT mathematics scores of a random sample of seven students selected from the freshman class at Georgia Southern University
540
(a Compute the mean SAT mathematics score for this sample. Give your answer to one decimal place. 590 1x
(b) Generate three bootstrap samples by resampling from the original sample of Georgia Southern University SAT mathematics scores. Use TABLEB_RANDOM_DIGITS beginning at line 116, what are the first seven entries selected (representing the first sample)?
O 1,4,5,2, 6, 3,7 which correspond to 470, 570,470, 690, 680, 540, and 710. O 1,4, 5,9,2,6,0 which correspond to 470,570,470,710,690,680, and 470.
O 1, 4, 4, 5, 9, 2, 6 which correspond to 470, 570, 570, 470, 710, 680, and 470. O 1, 4, 4, 5, 2, 6, 5 which correspond to 470, 570, 570, 470, 690, 680, and 470.
(c Compute the mean from the first bootstrap samples. Give your answer to one decimal place. 637.1 X
d Continuing on line 116, where are the next seven entries selected (representing the second sample)?
O 0, 5, 6, 3, 1, 4, 2 which correspond to 470, 470, 680, 540, 470, 570, and 690.
O1,4,4,5,2, 6,5 which correspond to 470,570,570,470,690,680, and 470
O 6, 3, 1, 4, 2, 4, 3 which correspond to 680, 540, 470, 570, 690, 570, and 540. O 6,3,1, 4,2,4,8 which correspond to 680, 540,470, 570, 690, 570, and 710.
(e) Compute the mean from the second bootstrap samples. Give your answer to one decimal place. 671.43
f Continuing on line 116, where are the next seven entries selected (representing the third sample? O 4,8,0,3,7,1,6 which correspond to 570,710,470,540,710,470,and 680.
O 1, 4, 4, 5, 2, 6, 5 which correspond to 470, 570, 570, 470, 690, 680, and 470.
O 7,1,6,5,1, 3,6 which correspond to 710, 470, 680, 470, 470,540, and 680.
O 7, 1, 6, 5, 1, 0, 3 which correspond to 710, 470, 680, 470, 470, 470, and 540.
(g) Compute the mean from the third bootstrap samples. Give your answer to one decimal place 608.57 x
(h) How do the means of the bootstrap samples compare to the mean of the original sample? Is this what you would expect? Explain. O In this case, the means are all close to the original sample mean, but are all more than that mean. This would be expected as the range of the samples is relatively small and there are no outliers.
O In this case, the means are all "close" to the original sample mean, but are all less than that mean. This would be expected as the range of the samples is relatively small and there are no outliers.
O In this case, the means are all close" to the original sample mean, but are all less than that mean. This would not be expected as the range of the samples is relatively large and there are outliers.
