2. Suppose that the weights of adult males have a mean of 65 kilograms and a standard deviation of 20 kilograms. Suppose that the distribution of weights is not normal. a. Assuming that a sample size of n=16 is big enough for the Central Limit Theorem to apply. Find the probability that a random sample of 16 males from this population will have a mean weight that exceeds 75 kilograms b. Determine the range of weights where the middle 90% of the average weight of a random sample size 16 will lie.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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2. Suppose that the weights of adult males have a mean of 65 kilograms and a
standard deviation of 20 kilograms. Suppose that the distribution of weights is
not normal.
a. Assuming that a sample size of n-16 is big enough for the Central Limit
Theorem to apply. Find the probability that a random sample of 16 males
from this population will have a mean weight that exceeds 75 kilograms
b. Determine the range of weights where the middle 90% of the average weight
of a random sample size 16 will lie.
Transcribed Image Text:2. Suppose that the weights of adult males have a mean of 65 kilograms and a standard deviation of 20 kilograms. Suppose that the distribution of weights is not normal. a. Assuming that a sample size of n-16 is big enough for the Central Limit Theorem to apply. Find the probability that a random sample of 16 males from this population will have a mean weight that exceeds 75 kilograms b. Determine the range of weights where the middle 90% of the average weight of a random sample size 16 will lie.
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