Question [3]: Extensive data, including that the number of activities per week can be modeled as a normal distribution with mean 2 and standard deviation 0.64 . (a) If a random sample of size 16 is selected, what is the probability that the sample mean will lie between 1.2 and 2.8 ? (b) With a sample size of 25 , what is the probability that the sample mean will lie between 1.2 and 2.8 ?

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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Question [3]: Extensive data, including that the number of activities per week
can be modeled as a normal distribution with mean 2 and standard deviation 0.64 .
(a) If a random sample of size 16 is selected, what is the probability that the sample mean will
lie between 1.2 and 2.8 ?
(b) With a sample size of 25 , what is the probability that the sample mean will lie
between 1.2 and 2.8 ?
Transcribed Image Text:Question [3]: Extensive data, including that the number of activities per week can be modeled as a normal distribution with mean 2 and standard deviation 0.64 . (a) If a random sample of size 16 is selected, what is the probability that the sample mean will lie between 1.2 and 2.8 ? (b) With a sample size of 25 , what is the probability that the sample mean will lie between 1.2 and 2.8 ?
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