The Practice of Statistics for AP - 4th Edition
The Practice of Statistics for AP - 4th Edition
4th Edition
ISBN: 9781429245593
Author: Starnes, Daren S., Yates, Daniel S., Moore, David S.
Publisher: Macmillan Higher Education
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Chapter 7.1, Problem 15E

(a)

To determine

The description about the population distribution.

(a)

Expert Solution
Check Mark

Answer to Problem 15E

The approximate sampling distribution is roughly symmetric.

Explanation of Solution

Given information:

Number of able-bodied male participated in physical training = 12,000

Mean of the Normal distribution = 7.11 minutes

Standard deviation = 0.74

Mean of the SRS of 100, x¯=7.15 minutes

Mean of the second SRS of 100, x¯=6.97 minutes

The population is known as the collection of individuals which are being studied.

The number of able-bodied male participated in physical training is 12,000; this means the number population is 12,000.

The given population distribution is a Normal distribution whose mean is 7.11 minutes and the standard deviation is 0.74 minutes. This information represents the time that is taken for a random individual to run a mile.

(b)

To determine

The description about the sampling distribution of x¯ and the difference between the population distribution and the sampling distribution.

(b)

Expert Solution
Check Mark

Explanation of Solution

Given information:

Number of able-bodied male participated in physical training = 12,000

Mean of the Normal distribution = 7.11 minutes

Standard deviation = 0.74

Mean of the SRS of 100, x¯=7.15 minutes

Mean of the second SRS of 100, x¯=6.97 minutes

Standard deviation of Normal distribution = 0.074 minutes

The values of sample mean x¯ follow the Normal distribution whose mean is 7.11 minutes and the standard deviation is 0.074 minutes.

This means that the sampling distribution of x¯ is the Normal distribution with mean of 7.11 minutes and standard deviation of 0.074 minutes.

Also, in the given data the sampling distribution of x¯ describes the average time taken by the 100 students from the population to run a mile.

The sampling distribution differs from the population distribution by the standard deviation. The standard deviation of a sampling distribution is smaller than that of a population distribution.

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Chapter 7.1, Problem 14E
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Chapter 7.1, Problem 16E

Chapter 7 Solutions

The Practice of Statistics for AP - 4th Edition

Ch. 7.1 - Prob. 1.1CYUCh. 7.1 - Prob. 1.2CYUCh. 7.1 - Prob. 2.1CYUCh. 7.1 - Prob. 2.2CYUCh. 7.1 - Prob. 2.3CYUCh. 7.1 - Prob. 3.1CYUCh. 7.1 - Prob. 3.2CYUCh. 7.1 - Prob. 3.3CYUCh. 7.1 - Prob. 1ECh. 7.1 - Prob. 2E
Ch. 7.1 - Prob. 3ECh. 7.1 - Prob. 4ECh. 7.1 - Prob. 5ECh. 7.1 - Prob. 6ECh. 7.1 - Prob. 7ECh. 7.1 - Prob. 8ECh. 7.1 - Prob. 9ECh. 7.1 - Prob. 10ECh. 7.1 - Prob. 11ECh. 7.1 - Prob. 12ECh. 7.1 - Prob. 13ECh. 7.1 - Prob. 14ECh. 7.1 - Prob. 15ECh. 7.1 - Prob. 16ECh. 7.1 - Prob. 17ECh. 7.1 - Prob. 18ECh. 7.1 - Prob. 19ECh. 7.1 - Prob. 20ECh. 7.1 - Prob. 21ECh. 7.1 - Prob. 22ECh. 7.1 - Prob. 23ECh. 7.1 - Prob. 24ECh. 7.1 - Prob. 25ECh. 7.1 - Prob. 26ECh. 7.2 - Prob. 1.1CYUCh. 7.2 - Prob. 1.2CYUCh. 7.2 - Prob. 1.3CYUCh. 7.2 - Prob. 1.4CYUCh. 7.2 - Prob. 27ECh. 7.2 - Prob. 28ECh. 7.2 - Prob. 29ECh. 7.2 - Prob. 30ECh. 7.2 - Prob. 31ECh. 7.2 - Prob. 32ECh. 7.2 - Prob. 33ECh. 7.2 - Prob. 34ECh. 7.2 - Prob. 35ECh. 7.2 - Prob. 36ECh. 7.2 - Prob. 37ECh. 7.2 - Prob. 38ECh. 7.2 - Prob. 39ECh. 7.2 - Prob. 40ECh. 7.2 - Prob. 41ECh. 7.2 - Prob. 42ECh. 7.2 - Prob. 43ECh. 7.2 - Prob. 44ECh. 7.2 - Prob. 45ECh. 7.2 - Prob. 46ECh. 7.2 - Prob. 47ECh. 7.2 - Prob. 48ECh. 7.3 - Prob. 1.1CYUCh. 7.3 - Prob. 1.2CYUCh. 7.3 - Prob. 1.3CYUCh. 7.3 - Prob. 1.4CYUCh. 7.3 - Prob. 49ECh. 7.3 - Prob. 50ECh. 7.3 - Prob. 51ECh. 7.3 - Prob. 52ECh. 7.3 - Prob. 53ECh. 7.3 - Prob. 54ECh. 7.3 - Prob. 55ECh. 7.3 - Prob. 56ECh. 7.3 - Prob. 57ECh. 7.3 - Prob. 58ECh. 7.3 - Prob. 59ECh. 7.3 - Prob. 60ECh. 7.3 - Prob. 61ECh. 7.3 - Prob. 62ECh. 7.3 - Prob. 63ECh. 7.3 - Prob. 64ECh. 7.3 - Prob. 65ECh. 7.3 - Prob. 66ECh. 7.3 - Prob. 67ECh. 7.3 - Prob. 68ECh. 7.3 - Prob. 69ECh. 7.3 - Prob. 70ECh. 7.3 - Prob. 71ECh. 7.3 - Prob. 72ECh. 7 - Prob. 1CRECh. 7 - Prob. 2CRECh. 7 - Prob. 3CRECh. 7 - Prob. 4CRECh. 7 - Prob. 5CRECh. 7 - Prob. 6CRECh. 7 - Prob. 7CRECh. 7 - Prob. 1PTCh. 7 - Prob. 2PTCh. 7 - Prob. 3PTCh. 7 - Prob. 4PTCh. 7 - Prob. 5PTCh. 7 - Prob. 6PTCh. 7 - Prob. 7PTCh. 7 - Prob. 8PTCh. 7 - Prob. 9PTCh. 7 - Prob. 10PTCh. 7 - Prob. 11PTCh. 7 - Prob. 12PTCh. 7 - Prob. 13PTCh. 7 - Prob. 1PT2Ch. 7 - Prob. 2PT2Ch. 7 - Prob. 3PT2Ch. 7 - Prob. 4PT2Ch. 7 - Prob. 5PT2Ch. 7 - Prob. 6PT2Ch. 7 - Prob. 7PT2Ch. 7 - Prob. 8PT2Ch. 7 - Prob. 9PT2Ch. 7 - Prob. 10PT2Ch. 7 - Prob. 11PT2Ch. 7 - Prob. 12PT2Ch. 7 - Prob. 13PT2Ch. 7 - Prob. 14PT2Ch. 7 - Prob. 15PT2Ch. 7 - Prob. 16PT2Ch. 7 - Prob. 17PT2Ch. 7 - Prob. 18PT2Ch. 7 - Prob. 19PT2Ch. 7 - Prob. 20PT2Ch. 7 - Prob. 21PT2Ch. 7 - Prob. 22PT2Ch. 7 - Prob. 23PT2Ch. 7 - Prob. 24PT2Ch. 7 - Prob. 25PT2

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