Q7

Question 7 A vendor was concerned that a soft drink machine was not dispensing 6 ounces per cup, on average. A sample size of 40 gave a mean amount per cup of 5.95 ounces and a standard deviation of 0.15 ounce. Assume that we know the population standard deviation o = 0.15. a) Find the p-value for a hypothesis test to determine if the mean is different from 6 ounces. For which of the following levels of significance would the null hypothesis be rejected? (i) a = 0.10 (ii) a = 0.05 (iii ) a = 0.04 (iv) a = 0.01. [8 marks] b) Find a 96% confidence interval for the mean amount of soda dispensed per cup. Is your interval consistent with the test conclusion in a)? Explain. [7 marks] Unlo Cour