Reference no: EM131398652
In given Exercise, the length of the confidence interval for µ is 257.6 - 200.7 = 56.9 and the length based on the trimmed mean is 244.9 - 196.7 = 48.2. Comment on why the length of the confidence interval for the trimmed mean is shorter.
Exercise
Reported data on the number of seeds in 29 pumpkins. The results were
250, 220, 281, 247, 230, 209, 240, 160, 370, 274, 210, 204, 243, 251, 190, 200, 130, 150, 177, 475, 221, 350, 224, 163, 272, 236, 200, 171, 98.
The 20% trimmed mean is X‾t = 220.8 and the mean is X‾ = 229.2. Verify that the .95 confidence interval for µ is (200.7, 257.6) and that for the trimmed mean, µt, it is (196.7, 244.9).
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Comment on the length of the confidence interval
: In given Exercise, the length of the confidence interval for µ is 257.6 - 200.7 = 56.9 and the length based on the trimmed mean is 244.9 - 196.7 = 48.2. Comment on why the length of the confidence interval for the trimmed mean is shorter.
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