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Solution: Using Correct Distribution. In Exercise, assume

Chapter 7, Problem 6BSC

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QUESTION:

Using Correct Distribution. In Exercises 5–8, assume that we want to construct a confidence interval. Do one of the following, as appropriate: (a) Find the critical value \(\mathrm {t\ \alpha\ /\ 2}\) , (b) find the critical value \(\mathrm {z\ \alpha\ /\ 2}\) , (c) state that neither the normal distribution nor the t distribution applies.

Confidence level is 90%, \(\sigma\) is not known, and the dotplot of IQ scores of 20 randomly selected statistics instructors is as shown below.

Equation Transcription:

Text Transcription:

t alpha / 2

z alpha / 2

sigma

Questions & Answers

QUESTION:

Using Correct Distribution. In Exercises 5–8, assume that we want to construct a confidence interval. Do one of the following, as appropriate: (a) Find the critical value \(\mathrm {t\ \alpha\ /\ 2}\) , (b) find the critical value \(\mathrm {z\ \alpha\ /\ 2}\) , (c) state that neither the normal distribution nor the t distribution applies.

Confidence level is 90%, \(\sigma\) is not known, and the dotplot of IQ scores of 20 randomly selected statistics instructors is as shown below.

Equation Transcription:

Text Transcription:

t alpha / 2

z alpha / 2

sigma

ANSWER:

Solution 6BSC

a)

Compute the critical value for

Here the given sample size is , so the corresponding degrees of freedom to finding the critical value  is,

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