Concept explainers
(a)
The description of approximate sampling distribution.
(a)
Answer to Problem 13E
The sampling distribution is right-skewed.
Explanation of Solution
Given information:
Thermostat set to prevent the pipes from freezing
Standard deviation,
Number of readings during 24-hour period for SRS,
Mean,
The dotplot:
It is seen that the given dotplot has the highest columns of dots to the left and a tail to the right. This means that the sampling distribution is right-skewed.
In the dotplot, it is seen that the sampling distribution is centered at about
The
Hence, the sampling distribution is right-skewed.
(b)
The conclusion about the thermostat manufacturer’s claim.
(b)
Answer to Problem 13E
The thermostat manufacturer’s claim is false.
Explanation of Solution
Given information:
Thermostat set to prevent the pipes from freezing
Standard deviation,
Number of readings during 24-hour period for SRS,
Mean,
Variance from an actual sample,
The dotplot:
In the given dotplot it is seen that no dots are above 25. There is only one dot to the right; which means a sample variance of 25 cannot be obtained.
Hence, it can be concluded that the thermostat manufacturer’s claim is false.
Chapter 7 Solutions
The Practice of Statistics for AP - 4th Edition
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