Question: A random sample of 60 second graders in a certain school district are given a standardized mathematics skills test. The sample mean score is x

A random sample of 60 second graders in a certain school district are given a standardized mathematics skills test. The sample mean score is x̄ = 52.

Assume the standard deviation of test scores is σ = 15.

The nationwide average score on this test is 50.

The school superintendent wants to know whether the second graders in her school district have greater math skills than the nationwide average.

a. State the appropriate null and alternate hypotheses.

b. Compute the value of the test statistic.

c. State a conclusion. Use the α = 0.01 level of significance.

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