A random sample of n = 900 observations is selected from a

Chapter 5, Problem 20E

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QUESTION:

Problem 20E

A random sample of n = 900 observations is selected from a population with μ = 100 and σ = 10.

a. What are the largest and smallest values of  that you would expect to see?

b. How far, at the most, would you expect  to deviate from μ?

c. Did you have to know μ to answer part b? Explain.

Questions & Answers

QUESTION:

Problem 20E

A random sample of n = 900 observations is selected from a population with μ = 100 and σ = 10.

a. What are the largest and smallest values of  that you would expect to see?

b. How far, at the most, would you expect  to deviate from μ?

c. Did you have to know μ to answer part b? Explain.

ANSWER:

Solution 20E

Step1 of 4:

From the given problem we have:

n = 900,

and

Here our goal is:

a). We need to find the largest and smallest values of  that we would expect to see.

b). We need to check how far, at the most, would you expect  to deviate from μ.

c). We need to check whether we have to know μ to answer part (b).


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