In the following situations, indicate whether you’d use the normal distribution, the t distribution, or neither. a. The population is normally distributed, and you know the population standard deviation. b. You don’t know the population standard deviation, and the sample size is 35. c. The sample size is 22, and the population is normally distributed. d. The sample size is 12, and the population is not normally distributed. e. The sample size is 45, and you know the population standard deviation.

kvasilw0

kvasilw0

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2022-08-17

In the following situations, indicate whether you’d use the normal distribution, the t distribution, or neither.
a. The population is normally distributed, and you know the population standard deviation.
b. You don’t know the population standard deviation, and the sample size is 35.
c. The sample size is 22, and the population is normally distributed.
d. The sample size is 12, and the population is not normally distributed.
e. The sample size is 45, and you know the population standard deviation.

Answer & Explanation

Trevor Copeland

Trevor Copeland

Beginner2022-08-18Added 21 answers

a. The population is normally distributed, and you know the population standard deviation:
Since the population standard deviation is known use the normal distribution.
b. You don’t know the population standard deviation, and the sample size is 35:
Since n>30 use the normal distribution.
c. The sample size is 22, and the population is normally distributed:
Since the population is normally distributed use t-distribution.
d. The sample size is 12, and the population is not normally distributed:
Neither of the test can be applied since the sample size is small and not normally distributed.
e. The sample size is 45, and you know the population standard deviation:
Normal distribution can be used.

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