To identify: The correct reason for given statement.
Answer to Problem 20.17CYS
Option (b)
Explanation of Solution
Reason for the correct option:
Prefer the t procedures to the z procedures for inference about a population mean because z procedures require that the population standard deviation is known but the t procedures are not required.
Reason for the incorrect answer:
For both test procedures, the data or observations considered as simple random sample from the population and the observations are from a normal population. Therefore,
Option (a) and Option (c) are incorrect.
Therefore, the correct option is (b), “z requires that you know the population standard deviation
Introduction:
Conditions for inference about a one-sample t test:
- Simple random sample from the population.
- Observations are from a normal population.
Conditions for inference about a one-sample z test:
- Simple random sample from the population.
- Observations are from a normal population.
- Population standard deviation is known.
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Chapter 20 Solutions
The Basic Practice of Statistics
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