Assume that the weight of hamsters is Normally distributed with μ = 0.8 lbs and σ = 0.24 lbs. Suppose I randomly select 3 hamsters.
(a) What is the shape of the sampling distribution of the sample mean?
a. Exactly Normal
b. Approximately Normal
c. Unknown
(b) What is P(X < 1.15)? (Use 3 decimal places)
I CAN'T FIGURE OUT PART B help?
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P(X < 1.15) = P[z < (1.15 - 0.8) / (0.24 / sqrt 3) = P( z < 2.53)
Now use a Standard Normal table ...
P( z < 2.53) = 0.9943
hope that helps