(a)
The description about the population distribution.
(a)
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
Standard deviation = 0.74
Mean of the SRS of 100,
Mean of the second SRS of 100,
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)
The description about the sampling distribution of
(b)
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,
Mean of the second SRS of 100,
Standard deviation of Normal distribution = 0.074 minutes
The values of sample mean
This means that the sampling distribution of
Also, in the given data the sampling distribution of
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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