## Related questions with answers

Question

Determine whether the hypothesis test involves a sampling distribution of means that is a normal distribution, Student t distribution, or neither:

Claim about daily rainfall amounts in Boston: $\mu<0.20$ in. Sample data: $n=52$, $\bar{x}=0.10$ in, $s=0.26$ in. The sample data appear to come from a population with a distribution that is very far from normal, and $\sigma$ is known.

Solution

VerifiedStep 1

1 of 2If the distribution is not normal and the sample size is less than 30, then neither the normal nor the t-distribution applies.

Else: if the population standard deviation is known, then use the Normal, else use the Student t.

Normal

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