Mathematics, 09.02.2021 21:50 gabrielolivas59
Suppose x has a distribution with = 30 and = 24.
(a) If a random sample of size n = 36 is drawn, find x, x and P(30 ≤ x ≤ 32). (Round x to two decimal places and the probability to four decimal places.)
x =
x =
P(30 ≤ x ≤ 32) =
(b) If a random sample of size n = 60 is drawn, find x, x and P(30 ≤ x ≤ 32). (Round x to two decimal places and the probability to four decimal places.)
x =
x =
P(30 ≤ x ≤ 32) =
(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 x is .
Answers: 1
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Suppose x has a distribution with = 30 and = 24.
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