Question

A record of Starbucks coffee shop at Ball State shows that the mean number of cups of coffee consumed by a science-major student is 6 per week. A student in STATs class feels it is greater. She found that the average number of coffee cups had was 9 with a standard deviation of 2 cups for randomly selected 10 science-major students in a week. Assuming that the weekly consumption of coffee by science-major students is normally distributed, test her claim at 5% significance level. (z0.025 = 1.96, t0.025,9 = −2.31, χ2 0.025,9 = 19.02, t0.95,9 = 1.83) (a) Write the null and alternative hypotheses for the claim, and identify the type of the test.

(b) Compute the test statistic, assuming the null hypothesis.

(c) Find the critical value and shade the rejection region.

(d) Is her claim true at 5% significance level? Why? Yes or No sufficient evidence

(e) Compute p-value.

(f) Is the p-value < α?

Please show all steps and provide any short cuts in TI-84 Graphing calc.

Answer 1