A random sample of n = 7 observations from a normal

Chapter 7, Problem 86E

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QUESTION:

Problem 86E

A random sample of n = 7 observations from a normal population produced the following measurements: 4, 0, 6, 3, 3, 5, 9. Do the data provide sufficient evidence to indicate that  < 1? Test using  = .05.

Questions & Answers

QUESTION:

Problem 86E

A random sample of n = 7 observations from a normal population produced the following measurements: 4, 0, 6, 3, 3, 5, 9. Do the data provide sufficient evidence to indicate that  < 1? Test using  = .05.

ANSWER:

Answer

Step 1 of 1

Our goal is  Test the claim that the standard deviation of waiting times is less than 1.9 min.

A random sample of  observations from a normal population produced the following measurements:

Do the data provide sufficient evidence to indicate that

Use  in the test.

Let’s find the sample variance, because the sample variance is the point estimator of the population variance

The sample variance,

……….(1)

We can rewrite equation (1) as,

[from the measurements]

Hence to determine if  we

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