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Chapter 8: Q 8.1RP. (page 346)

Explain the difference between a point estimate of a parameter and a confidence-interval estimate of a parameter.

Short Answer

Expert verified

Point estimation involvesthe use of sample data to calculate a single value.

The confidence-interval estimate is measured using the point estimate.

Step by step solution

01

Explanation

We try to guess or estimate the unknown value of a population parameter using the value of a statistic in point estimation. This is a single value or point estimate of the parameter. The name point estimate comes from this.

In interval estimate, however, we measure a range within which the population parameter falls, with a confidence level represented in percentages. The point estimate is used to calculate the confidence interval estimate. The percentage indicates our level of certainty that the population parameter falls inside the estimated range.

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Most popular questions from this chapter

Assume that the population standard deviation is known and decide weather use of the z-interval procedure to obtain a confidence interval for the population mean is reasonable. Explain your answers .

The sample data contain no outliers, the sample size is 250, and the variable under consideration is far from being normally distributed.

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.

Assume that the population standard deviation is known and decide weather use of the z-interval procedure to obtain a confidence interval for the population mean is reasonable. Explain your answers.

The sample data contain no outliers, the variable under consideration is roughly normally distributed, and the sample size is 20.

State True or False. Give Reasons for your answers.

The confidence level can be determined if you know only the margin of error.

A simple random sample of size 100 is taken from a population with an unknown standard deviation. A normal probability plot of the data displays significant curvature but no outliers. Can you reasonably apply the t-interval procedure? Explain your answer.
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