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Chapter 8: Q 8.27 (page 330)

Find the confidence level and ∝ for

a. 90%confidence interval.

b. 94%confidence interval.

Short Answer

Expert verified

a. α=0.10and confidence level is0.90

b. α=0.01and confidence level is0.99

Step by step solution

01

Given Information

We are given with two confidence levels90%and99%.

02

Calculation of confidence level and α for 90% confidence interval.

We know that

For 100(1-α)%confidence interval, confidence level is 1-α(0<α<1)

90%confidence interval implies 100×0.9%confidence interval.

⇒1-α=0.90

Hence, confidence level is 0.90

α=1-0.90=0.10

03

Calculation of confidence level and α for 99% confidence interval

99%implies 100×0.99%confidence interval.

⇒1-α=0.99

Confidence level is 0.99

andα=1-0.99=0.01

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Most popular questions from this chapter

Why do you need to consider the student zed version of x¯ to develop a confidence-interval procedure for a population means when the population standard deviation is unknown?

A confidence interval for a population mean has length 20.

a. Determine the margin of error.

b. If the sample mean is 60, obtain the confidence interval.

c. Construct a graph that illustrates your results.

Explain the effect on the margin of error and hence the effect on the accuracy of estimating a population mean by a sample mean.

Increasing the sample size while keeping the same confidence level.

A simple random sample of size 17 is taken from a population with an unknown standard deviation. A normal probability plot of the data reveals an outlier but is otherwise roughly linear. Can you reasonably apply the t-interval procedure? Explain your answer.

For the one-mean t-interval procedure, express the formula for the endpoints of a confidence interval in the form.
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