Let X be the sample mean of a random sample of size 25 from a gamma distribution with density: 1 f(x) = x³e-1/3 x > 0. 6,30 Use the central limit theorem to find an approximate .954 confidence interval for μ= 43, the mean of this distribution.

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Let X be the sample mean of a random sample of size 25 from a gamma distribution
with density:
1
6,30
-x³e-x/³, x>0.
Use the central limit theorem to find an approximate .954 confidence interval for
43, the mean of this distribution.
f(x) =
Transcribed Image Text:Let X be the sample mean of a random sample of size 25 from a gamma distribution with density: 1 6,30 -x³e-x/³, x>0. Use the central limit theorem to find an approximate .954 confidence interval for 43, the mean of this distribution. f(x) =
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