A rowing team consists of three rowers who weigh 42, 36 and 29 pounds. Find all possible random samples with replacement of size three and compute the sample mean for each one. Use them to find the sampling distribution of the sample mean. Also verify the results.
Answers
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Answer:
Thus, the possible samples with replacement are 27 and computed sample means are represented in the below table.
Compute
Compute the mean for original data.
Mean=( 42+29+36)/3=107/3=35.6667
compute the sampling distribution of the sample mean.
Step-by-step explanation:
The possible samples with 42,36 and 29 with replacement of size 3 is,
X1 X2 X3 sum= X1+X2+X3 XBAR=SUM/3
42 36 29 107 35.6667
42 29 36 107 35.6667
36 42 29 107 35.6667
36 29 42 107 35.6667
29 36 42 107 35.6667
29 42 36 107 35.6667
42 42 42 126 42
36 36 36 108 36
29 29 29 87 29
42 42 36 120 40
42 42 29 113 37.6667
36 42 42 120 40
29 42 42 113 37.6667
42 29 42 113 37.6667
42 36 42 120 40
36 36 42 114 38
36 36 29 101 33.6667
36 42 36 114 38
36 29 36 101 33.6667
42 36 36 114 38
29 36 36 101 33.6667
29 29 36 94 31.3333
29 29 42 100 33.3333
29 36 29 94 31.3333
29 42 29 100 33.3333
36 29 29 94 31.3333
42 29 29 100 33.3333
Sum 963