Using the Central Limit Theorem · Exercise 25
The attention span of a two-year-old is exponentially distributed with a mean of about eight minutes. Suppose we randomly survey 60 two-year-olds.
(a) In words, Χ = _______.
(b) Χ ~ _____(_____, _____)
(c) In words, = ____________.
(d) ~ _____(_____, _____)
(e) Before doing any calculations, which do you think will be higher? Explain why.
(a) The probability that an individual attention span is less than 10 minutes.
(b) The probability that the average attention span for the 60 children is less than 10 minutes.
(f) Calculate the probabilities in part (e).
(g) Explain why the distribution for is not exponential.
Its source prints no answer for this problem, so there's nothing to check against.
OpenStax, Statistics · §7.3 Using the Central Limit Theorem · Exercise 25
No hints for this one.
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