1. Consider the following hypothesis test:

H0: >= 80

Ha: < 80

A sample of 100 provided a population standard deviation is 6. Compute the p value and state your conclusion for each or the following results. Use = .01.

Sample means:

a. x= 78.5

b. x= 77

c. x = 75.5

2. A simple random sample of 50 items from a population with= 6 resulted in a sample mean of 32.

a. Provide a 90% confidence interval for the population mean.

b. Provide a 95% confidence interval for the population mean.

c. Provide a 99% confidence interval for the population mean