Question 2 You draw a random sample of size n = 16 from a population with mean µ = 100 and standard deviation o = 20. From this, you compute the sample mean, x a. What are the expectation and standard deviation of x? b. Approximately what is the probability that the sample mean is between 95 and 105? c. Do you need any additional assumptions for part (c) to be true?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Question 2
You draw a random sample of size n = 16 from a population with mean µ = 100 and standard
deviation o = 20. From this, you compute the sample mean, x
a. What are the expectation and standard deviation of x?
b. Approximately what is the probability that the sample mean is between 95 and 105?
c. Do you need any additional assumptions for part (c) to be true?
Transcribed Image Text:Question 2 You draw a random sample of size n = 16 from a population with mean µ = 100 and standard deviation o = 20. From this, you compute the sample mean, x a. What are the expectation and standard deviation of x? b. Approximately what is the probability that the sample mean is between 95 and 105? c. Do you need any additional assumptions for part (c) to be true?
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