Question:Suppose x has a distribution with μ = 29 and σ = 25.
(a) If a...
Question
Suppose x has a distribution with μ = 29 and σ = 25.
(a) If a...
Suppose x has a distribution with μ = 29 and σ = 25.
(a) If a random sample of size n = 41 is drawn, find μx, σ x
and P(29 ≤ x ≤ 31). (Round σx to two decimal places and the
probability to four decimal places.)
μx =
σ x =
P(29 ≤ x ≤ 31) =
(b) If a random sample of size n = 71 is drawn, find μx, σ x
and P(29 ≤ x ≤ 31). (Round σ x to two decimal places and the
probability to four decimal places.)
μx =
σ x =
P(29 ≤ x ≤ 31) =
(c) Why should you expect the probability of part (b) to be
higher than that of part (a)? (Hint: Consider the standard
deviations in parts (a) and (b).)
The standard deviation of part (b) is part (a) because of the
sample size. Therefore, the distribution about μx is .