Question: Mechanics of Hypothesis tests:

A researcher wishes to conduct the following hypothesis test:

The researcher has obtained a simple random sample from the target population. A histogram shows that the sample data is approximately bell-shaped and close to symmetric. Here are the summary statistics describing the sample: n = 55 , \(\bar{X}=242\), s = 25.

1. Use computer software to conduct the hypothesis test. Show your computer output. In your computer output, identify the value of the test statistic and the corresponding p-value.
2. At the 5% significance level, what is the appropriate conclusion to the hypothesis test?

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