Determine whether the given conditions justify testing a claim about a population mean µ
-The sample size is $\mathrm { n } = 25 , \sigma = 5.93$, and the original population is normally distributed.
A) No
B) Yes

Question

Quizplus · Accepted Answer

Since the sample size is $n = 25$, $\sigma = 5.93$ is known, and the original population is normally distributed, the conditions justify testing a claim about a population mean $\mu$. The Central Limit Theorem allows for the approximation of the sampling distribution of the sample mean to be normal when the sample size is large (n ≥ 30) or the population is normally distributed, which is the case here.

Determine Whether the Given Conditions Justify Testing a Claim About n=25,σ=5.93\mathrm { n } = 25 , \sigma = 5.93n=25,σ=5.93

Determine Whether the Given Conditions Justify Testing a Claim About $\mathrm { n } = 25 , \sigma = 5.93$