Question

A coffee machine is supposed to dispense 12 ounces of coffee in each cup. A business using one of these machines is concerned that it is dispensing less than 12 ounces. An inspector takes a sample of 16 cups of coffee, and finds a mean of ¯x=11.7x¯=11.7 ounces with a standard deviation of s=0.8s=0.8 ounces. (Assume coffee serving volumes are normally distributed.)

1. What are the null and alternate hypotheses for this study?
H0: μ (< > ≤ ≥ = ≠) ?
H1: μ (< > ≤ ≥ = ≠) ?  


2. What is the pp-value for the hypothesis test, rounded to four decimal places?
p=?


3. At the α=0.10α=0.10 level, what is the conclusion for this test, and what does that mean in context?

• A. Reject the null hypothesis. The coffee machine is dispensing less than 12 ounces of coffee per serving.
• B. Fail to reject the null hypothesis. The coffee machine is dispensing at least 12 ounces of coffee per serving.
• C. Reject the null hypothesis. The sample data is consistent with the claim that the coffee machine is dispensing an average of 12 ounces per serving.
• D. Fail to reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that the coffee machine is dispensing an average of 12 ounces per serving.
• E. Reject the null hypothesis. The sample data supports the claim that the coffee machine is dispensing an average of less than 12 ounces per serving.
• F. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that the coffee machine is dispensing an average of less than 12 ounces per serving.

Answer 1