1. A random sample of 45 cars that passed a specific interstate milepost at an average speed of 74.04 miles per hour. Assume the speed of the cars passing the milepost is normally distributed with a standard deviation of 6 miles per hour. Test the claim at the significance level of 0.10 that the average speed of the population of cars passing this milepost is not 65 miles per hour.

a. State hypotheses to be tested (there should be two)

b. Is this test right-tailed, left-tailed, or two-tailed?

c. What sort of results or evidence would you like to see to convince you that the claim is likely to be correct?

d. In this context, what does statistically significant mean?

2. A researcher is testing the claim that the average adult consumes more than 1.7 cups of coffee per day. The researcher collects a random sample of 30 adults and calculates an average of 2.05 cups of coffee per day. Assume that the population standard deviation is 0.5 cups per day.

a. State the hypotheses to be tested (There should be two)

b. Is this test right-tailed, left-tailed, or two-tailed? Explain your reasoning.

c. Compute the test statistic (Z-value)

d. Compute the p-value.

e. What does the p-value represent?

f. Based on a 5% significance level, what conclusion should the researcher make?

g. What does statistically significant mean within the context of hypothesis testing?

h. How would the researcher's decision change if the significance levels were changed to 1%?

3.Describe the significance test process in 4-5 sentences.