(Steps Shown) Determine whether the hypothesis test involves a sampling distribution of means that is a normal distribution, Student t distribution, or


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

Claim: \(\mu=966 .\) Sample data: \(n=24, \bar{x}=977, s=30 .\) The sample data appear to come from a normally distributed population with \(\sigma=30\)

Assume that a simple random sample has been selected from a normally distributed population. Find the test statistic, P-value, critical value(s), and state the final conclusion.

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