a)
To find: The standard deviation of the sampling distribution.
a)
Answer to Problem 14.1AYK
The standard deviation is 0.40.
Explanation of Solution
Given:
Population mean (µ)
Standard deviation (s) = 8
Calculation:
The standard deviation of the sampling distribution is calculated as:
Thus, the standard deviation is 0.40.
b)
To construct: A normal curve that explains the variability of in many samples for the -provided population. Also, find the missing number using the 68-99-99.7 rule
b)
Explanation of Solution
Graph:
The figure could be constructed as:
Calculation:
The margin of error could be constructed as:
The values of
Using these values, the figure is:
c)
To construct: The interval below the sketch for one of
c)
Explanation of Solution
Graph:
The figure could be constructed as:
d)
To find: The percent of all samples would the confidence interval
d)
Answer to Problem 14.1AYK
The percentage is 95%.
Explanation of Solution
Calculation:
The percent of all the samples that would fall in the computed confidence interval is 95%. In this case, m is 0.8 and
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