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Exam 8: Interval Estimation

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Question 1

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In general, higher confidence levels provide _____.

A) wider confidence intervals
B) narrower confidence intervals
C) a smaller standard error
D) unbiased estimates

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Question 2

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Below you are given ages that were obtained by taking a random sample of nine undergraduate students. $\begin{array} { l }19&22&23&19&21&22&19&23&21\end{array}$ Use Excel to determine an interval estimate for the mean of the population at a 99% confidence level. Interpret your results.

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​ Interpretation of Interval ...

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Question 3

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The ability of an interval estimate to contain the value of the population parameter is described by the _____.

Whenever the population standard deviation is unknown, which distribution is used in developing an interval estimate for a population mean?

The t distribution is a family of similar probability distributions, with each individual distribution depending on a parameter known as the _____.

As the sample size increases, the margin of error _____.

The confidence associated with an interval estimate is called the _____.

Computing the necessary sample size for an interval estimate of a population proportion requires a planning value for $\bar{p}$ . In case of any uncertainty about an appropriate planning value, we know the value that will provide the largest sample size for a given level of confidence and a given margin of error is

The expression used to compute an interval estimate of μ may depend on any of the following factors EXCEPT _____.

The ability of an interval estimate to contain the value of the population parameter is described by the _____.

To compute the minimum sample size for an interval estimate of μ when the population standard deviation is known, we must first determine all of the following EXCEPT _____.

Computing the necessary sample size for an interval estimate of a population proportion requires a planning value for $\bar{p}$ . In case of any uncertainty about an appropriate planning value, we know the value that will provide the largest sample size for a given level of confidence and a given margin of error is

If the margin of error in an interval estimate of ? is 4.6, the interval estimate equals _____.

We can reduce the margin of error in an interval estimate of p by doing any of the following EXCEPT _____.

The z value for a 97.8% confidence interval estimation is _____.

For the interval estimation of μ when σ is assumed known, the proper distribution to use is the_____.

The use of the normal probability distribution as an approximation of the sampling distribution of $\bar { p }$ is based on the condition that both np and n(1 - p) equal or exceed _____.

From a population that is normally distributed with an unknown standard deviation, a sample of 25 elements is selected. For the interval estimation of μ, the proper distribution to use is the _____.

A survey of 40 students at a local college asks, "Where do you buy the majority of your books?" The responses fell into three categories: "at the campus bookstore," "on the Internet," and "other." The results follow. Use Excel to estimate the proportion of the college students who buy their books on the Internet. $\begin{array} { l|l|l|l|l|l| } \text {bookstore }&\text {bookstore }&\text { Internet}&\text { other }&\text { Internet}&\text { other }&\text {bookstore }\\\text { other} & \text { bookstore } & \text { bookstore } & \text { bookstore } & \text {bookstore } & \text {bookstore } & \text { other } \\\text { bookstore } & \text { bookstore } & \text { bookstore } & \text { Internet } & \text { Internet } & \text { other } & \text { other }\\\text { other } & \text { other } & \text { other } & \text { other } & \text { other } & \text { Internet } & \text { bookstore }\\\text { other }& \text { other } & \text { Internet} & \text { lother} & \text { bookstore } & \text {bookstore } & \text {other }\\\text { bookstore } & \text { Internet } & \text { Internet } & \text {other } & \text { bookstore }\\\end{array}$

The sample size that guarantees all estimates of proportions will meet the margin of error requirements is computed using a planning value of p equal to _____.