The Central Limit Theorem for Sums (Optional) · Exercise 33
Suppose that the weight of open boxes of cereal in a home with children is uniformly distributed from two to six pounds with a mean of four pounds and standard deviation of 1.1547. We randomly survey 64 homes with children.
(a) In words, X = _____________.
(b) The distribution is _______.
(c) In words, ΣX = _______________.
(d) ΣX ~ _____(_____, _____)
(e) Find the probability that the total weight of the open boxes is less than 250 pounds.
(f) Find the 35^th percentile for the total weight of open boxes of cereal.
Its source prints no answer for this problem, so there's nothing to check against.
OpenStax, Statistics · §7.2 The Central Limit Theorem for Sums (Optional) · Exercise 33
No hints for this one.
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