Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 7: Q.22 (page 431)

The name for the pattern of values that a statistic takes when we sample repeatedly from the same population is

(a) the bias of the statistic.

(b) the variability of the statistic.

(c) the population distribution.

(d) the distribution of sample data.

(e) the sampling distribution of the statistic.

Short Answer

Expert verified

A correct answer is an option (e) the sampling distribution of the statistic.

Step by step solution

01

Given Information

The name for the pattern of values that a statistic takes when we sample repeatedly from the same population.

02

Explanation

A statistic is a descriptive measure for a sample, while the pattern of values is called a distribution, and thus combined the pattern of values of a statistic is called the sampling distribution of the statistic.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

The central limit theorem is important in statistics because it allows us to use the Normal distribution to make inferences concerning the population mean

(a) if the sample size is reasonably large (for any population).

(b) if the population is normally distributed and the sample size is reasonably large.

(c) if the population is normally distributed (for any sample size).

(d) if the population is normally distributed and the population variance is known (for any sample size).

(e) if the population size is reasonably large (whether the population distribution is known or not,

Bottling cola A hattling compamy uses a fillimg maichine to fill plastic botles with cola. The bottles are supposed to contain 300milliliters (ml) . In fact, the contents vary according to a Normal distribution with mean μ=298ml and standard deviation σ=3ml

(a) What is the probability that in individual bottle contains less than 295ml? Show you work.

(b) What is the probability that the mean contents of six randomly selected bottles is less than 295ml? Show your work.

You work for an advertising agency that is preparing a new television commercial to appeal to women. You have been asked to design an experiment to compare the effectiveness of three versions of the commercial. Each subject will be shown one of the three versions and then asked about her attitude toward the product. You think there may be large differences between women who are employed and those who are not. Because of these differences, you should use

(a) a block design, but not a matched pairs design

(b) a completely randomized design.

(c) a matched pairs design.

(d) a simple random sample.

(e) a stratified random sample.

The histogram above left shows the intervals (in minutes) between eruptions of the Old Faithful geyser for all 222recorded eruptions during a particular month. For this population, the median is 75minutes. We used Fathom software to take 500SRSs of size 10from the population. The 500values of the sample median are displayed in the histogram above right. The mean of the 500sample median values is 73.5.

Suppose we had taken samples of size 20instead of size 10. Would the spread of the sampling distribution be larger, smaller, or about the same? Justify your answer

Songs on an iPod David's iPod has about 10000songs. The distribution of the play times for these songs is heavily skewed to the right with a mean of 225seconds and a standard deviation of60 seconds.

(a) Explain why you cannot safely calculate the probability that the mean play time x¯is more than 4minutes 240seconds for an SRS of 10songs.

(b) Suppose we take an SRS of 36songs instead. Explain how the central limit theorem allows us to find the probability that the mean playtime is more than 240 seconds. Then calculate this probability. Show your work.
See all solutions

Recommended explanations on Math Textbooks

Logic and Functions

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Probability and Statistics

Read Explanation

Statistics

Read Explanation

Pure Maths

Read Explanation

Mechanics Maths

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free