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?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
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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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