Chapters 9 & 10 Assignment 1. A coffee machine dispenses coffee into paper cups. On average, 10 ounces of coffee should be dispensed into each cup. However, in a random sample of 20 cups, the mean amount of coffee dispensed was 9.85, with a sample standard deviation of 0.20. Assuming the distribution of ounces of coffee dispensed is Normal, is there evidence that this coffee machine is under-filling cups? Use a 10% level of significance. a. State the null and alternative hypotheses Ho: H1: b. What calculator test will you use? List the requirements that must be met to use this test, and indicate whether the conditions are met in this problem. C. Run the calculator test and obtain the P-value. d. Based on your P-value, will you reject or fail to reject the null hypothesis? e. Interpret your conclusion from part d in the context of this problem. f. If there were a Type I or Type II error given this sample, what would it be, and what would the implications of that be