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Chapter 8: Q.6 (page 477)

The U.S. Census Bureau conducts a study to determine the time needed to complete the short form. The Bureau surveys 200 people. The sample mean is 8.2 minutes. There is a known standard deviation of 2.2 minutes. The population distribution is assumed to be normal.

Identify the following:

a. x炉 = _____

b. 蟽 = _____

c. n = _____

Short Answer

Expert verified

The value of

a). x炉=8.2

b).蟽=2.2

c).n=200

Step by step solution

01

Part (a) Step 1: Given Information 

The sample mean is 8.2 minutes.
02

Part (a) Step 2: Explanation 

The sample mean is the average (or mean) value of a group of numbers drawn from a larger population of numbers, where "population" refers to all relevant data, whether or not it has been gathered.
The sample mean is 8.2minutes.
03

Part (b) Step 1: Given Information 

There is a known standard deviation of 2.2 minutes.

04

Part (b) Step 2: Explanation 

The standard deviation is a measurement of a set of values' variation or dispersion. A low standard deviation implies that the values are close to the set's mean, whereas a high standard deviation shows that the values are dispersed across a larger range.

There is a known standard deviation of 2.2minutes.

05

Part (c) Step 1: Given Information 

The Bureau surveys 200 people.

06

Part (c) Step 2: Explanation 

The number of individual samples utilized in an experiment is referred to as the sample size.

The Bureau surveys 200people.

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