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Chapter 8: Q 8.4. (page 319)

Express the form of most of the confidence intervals that you will encounter in your study of statistics in terms of "point estimate" and "margin of error."

Short Answer

Expert verified

The requires expression is:Confidenceinterval=Pointofestimate卤Marginoferror.

Step by step solution

01

Given information

The relation between confidence interval, point of estimate, and margin of error.

02

Explanation

The margin of error means the half-length of the confidence interval is term as the margin of error.

We know that 100(1-伪)%of confidence interval contains the population mean(渭).

Since the point of the estimate is near to the population mean,

Therefore the value of the population parameter can be obtained with the point of estimate and the margin of error.

Therefore we can express the relation as:

Confidenceinterval=Pointofestimmate卤Marginoferror.

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Most popular questions from this chapter

Forearm Length. In 1903, K. Pearson and A. Lee published the paper "On the Laws of Inheritance in Man. I. Inheritance of Physical Characters" (Biometrika, Vol. 2, Pp. 357-462). The article examined and presented data on forearm length, in inches, for a sample of 140 men, which we have provided on the Weiss Stats site. Use the technology of your choice to do the following.

a. Obtain a normal probability plot, boxplot, and histogram of the data.

b. Is it reasonable to apply the t--interval procedure to the data? Explain your answer.

c. If you answered "yes" to part (b), find a 95%confidence interval for men's average forearm length Interpret your result.

Toxic Mushrooms? Refer to Exercise 8.71

a. Determine and interpret a 99% lower confidence bound for the mean cadmium level of all Boletus Pinicola mushrooms.

b. Compare your one-sided confidence interval in part (a) to the (two-sided) confidence interval found in Exercise 8.71

A simple random sample is taken from a population and yields the following data for a variable of the population:

Find a point estimate for the population mean (i.e., the mean of the variable).

The Coruro's Burrow. The subterranean coruro (Spalacopus cyanus) is a social rodent that lives in large colonies in underground burrows that can reach lengths of up to 600meters. Zoologists S. Begall and M. Gallardo studied the characteristics of the burrow systems of the subterranean coruro in central Chile and published their findings in the paper "Spalacopus cyanus (Rodentia: Octodontidac): An Extremist in Tunnel Constructing and Food Storing among Subterranean Mammals" (Journal of Zoology, Vol. 251. pp. 53-60). A sample of 51 burrows had the depths, in centimeters (cm), presented on the Weiss Stats site. Use the technology of your choice to do the following.

a. Obtain a normal probability plot. boxplot, histogram, and stem and leaf diagram of the data.

b. Based on your results from part (a), can you reasonably apply the t-interval procedure to the data? Explain your reasoning.

c. Find and interpret a 90%confidence interval for the mean depth of all subterranean coruro burrows.

The margin of error can be determined if you know only the confidence level, population standard deviation, and sample size.
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