Mind on Statistics
Mind on Statistics
5th Edition
ISBN: 9781285463186
Author: Jessica M. Utts, Robert F. Heckard
Publisher: Brooks Cole
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Chapter 9, Problem 9.1E

(a)

To determine

To find: The given variable is a statistic or parameter.

(a)

Expert Solution
Check Mark

Answer to Problem 9.1E

The value is a statistic.

Explanation of Solution

Given information:

The value of 72% that is calculated from a sample of 1000 adults in the country.

Concept used:

The whole collection or group of all the elements is known as the population. The sample is the group of elements collected from the population and has similar characteristics to the population.

A population parameter is the calculated value that is calculated from the population. To estimate the population parameter, one can collect a sample, and the value calculated/measured from the sample is known as a statistic.

In this case, the results suggest that 72% of adults favor the penalty for drunk driving. This percentage value of 72% is calculated from the sample of 1000 adults. As this value is measured from the sample and is used to estimate the parameter, it is considered a statistic.

Hence, the value of 72% is a statistic.

(b)

To determine

To find: The given variable is a statistic or parameter.

(b)

Expert Solution
Check Mark

Answer to Problem 9.1E

The value is a parameter.

Explanation of Solution

Given information:

The median age of all the people of the country is 35 years.

In this case, the results suggest that 35 years is the median age of country A. This median value of 35 is inferring the population. As this value is measured from all of the people of country A, it is considered a parameter.

Hence, the value of 35 years is a parameter.

(c)

To determine

To find: The given variable is a statistic or parameter.

(c)

Expert Solution
Check Mark

Answer to Problem 9.1E

The value is a statistic.

Explanation of Solution

Given information:

The difference between the mean height of men and women is 14 cm.

In this case, the results suggest that the mean difference in height is 14 cm for men and women. This difference value of 14 cm is calculated from the 20 males and 25 females sample. As this value is measured from the sample and is used to estimate the parameter, it is considered a statistic.

Hence, the value of 14 cm is a statistic.

(d)

To determine

To find: The given variable is a statistic or parameter.

(d)

Expert Solution
Check Mark

Answer to Problem 9.1E

The value is a parameter.

Explanation of Solution

Given information:

The 15 errors are observed by the proofreader from the complete script.

In this case, the results suggest that 15 errors are found by the proofreader in the complete script. The value 15 errors inferring the population. As this value is measured from the complete script, it is considered a parameter.

Hence, the value of 15 errors is a parameter.

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The population mean and standard deviation are given below. Find the required probability and determine whether the given sample mean would be considered unusual. For a sample of n = 65, find the probability of a sample mean being greater than 225 if μ = 224 and σ = 3.5. For a sample of n = 65, the probability of a sample mean being greater than 225 if μ=224 and σ = 3.5 is 0.0102 (Round to four decimal places as needed.)
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