BASIC PRACTICE OF STATISTICS >C<
BASIC PRACTICE OF STATISTICS >C<
8th Edition
ISBN: 9781319220280
Author: Moore
Publisher: MAC HIGHER
Question
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Chapter 15, Problem 15.16CYS
To determine

To identify: Whether the boldface number is a sampling distribution or statistic or parameter.

Expert Solution & Answer
Check Mark

Answer to Problem 15.16CYS

The correct option is (b) statistic.

Explanation of Solution

Given info:

The data shows that the percentage of people interviewed were employed is 4.9% and the sample number of households is 60,000.

Reason for correct answer:

Here, the percentage 4.9% is obtained by using the sample of 60,000 households and explains the characteristic of the sample.

Thus, the boldface number is a statistic.

The correct option is (b) statistic.

Reason for incorrect answers:

Since, the percentage 4.9% is obtained by using the sample the options (a) sampling distribution and (c) parameter are incorrect.

Conclusion:

Thus, the boldface number is statistic.

Statistics Concept Introduction

Introduction:

Sampling distribution:

It is the distribution of observations obtained by using the statistic of all the possible samples taken from the population. Here, the size of the all possible samples is same.

Parameter:

A parameter is a value that explains the characteristic of the population. In general, the parameter is estimated by using the sample, because it is difficult to examine the total population.

Statistic:

A statistic is a value that explains the characteristic of the sample. It can be obtained by using the sample of observations.

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A well-known company predominantly makes flat pack furniture for students. Variability with the automated machinery means the wood components are cut with a standard deviation in length of 0.45 mm. After they are cut the components are measured. If their length is more than 1.2 mm from the required length, the components are rejected. a) Calculate the percentage of components that get rejected. b) In a manufacturing run of 1000 units, how many are expected to be rejected? c) The company wishes to install more accurate equipment in order to reduce the rejection rate by one-half, using the same ±1.2mm rejection criterion. Calculate the maximum acceptable standard deviation of the new process.
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