1.) When we test H0: =0 against Ha: >0, we get a P-value of 0.06.

a.) What would the decision be for a significance level of 0.05?

A. We would decide toreject the null hypothesis. We would have sufficient evidence that the population mean is different from 0.

B. We would decide toreject the null hypothesis. We wouldnot have sufficient evidence that the population mean is different from 0.

C. We would decide nottoreject the null hypothesis. We would have sufficient evidence that the population mean is different from 0.

D. We would decide nottoreject the null hypothesis. We wouldnot have sufficient evidence that the population mean is different from 0.

b.) If the decision in (a) is in error, what type of error is it?

A. Type II

B. Type

c.) What decision would you make, and if it is in error, what type of error is it?

A. If the significance level were instead 0.10, we would decide nottoreject the null hypothesis. If this decision were in error, it would be a Type II error.

B. If the significance level were instead 0.10, we would decide toreject the null hypothesis. If this decision were inerror, it would be a Type II error.

C. If the significance level were instead 0.10, we would decide toreject the null hypothesis. If this decision were inerror, it would be a Type I error.

D. If the significance level were instead 0.10, we would decide nottoreject the null hypothesis. If this decision were in error, it would be a Type I error.

2.) The director of a state agency believes that the average starting salary for clerical employees in the state is less than $29,000 per year. To test her hypothesis, she has collected a simple random sample of

100 starting clerical salaries from across the state and found that the sample mean is $28,700.

a.) State the appropriate null and alternative hypotheses.

b.) Assuming the population standard deviation is known to be $500 and the significance level for the test is to be 0.025, what is the critical value (stated in dollars)? (Round to the nearest cent as needed.)