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Consider a random sample of size 25 from a normal population with hypothesized mean 212 and σ = 2.88.

a. Write the four parts for a one-sided, right-tailed hypothesis test concerning the population mean with a = 0.01.

b. What assumptions are made in order for the test in part (a) to be appropriate?

c. Suppose the sample mean is x^‾ = 213.5. Find the value of the test statistic, and draw a conclusion about the population mean.

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