A test was done comparing two different types of chewing gum to see which one had the longest lasting flavor. The chart is below with the initial data.(25 points possible).

Group 1

Bronco Gum sample size: 50

Bronco Gum sample mean: 20 minutes

Bronco Gum standard deviation: 5 minutes

Group2

TOM gum sample size: 70

TOM Gum sample mean: 15 minutes

TOM Gum standard deviation: 8 minutes

a. What is the point estimate?

b. using a 95% confidence interval, what is the interval estimate?

c. What would be your null and alternative hypotheses? This will be a one-tailed test.

d. Assuming a D0 (test difference) = 0, what would your z-score be?

e. Based on your z-score, and the z-table, do you think you should reject the null hypothesis? Use a significance level = .01 (1%). You don't need to run the p-value or critical values, just give an intuitive response.