7.51 only

/751 A vendor was concerned that a soft drink machine was not dispensing 6 ounces per cup, off average. A sample of size 40 gave a mean amount per cup of 5.95 ounces and a standard deviation of . 15 ounce. (a) Find the P-value. (b) For which of the following levels of significance would Ho be rejected? i. a = .10 ii. a = .05 iii. a = .01 [Hint: These can be answered using your answer in part (a).] (c) For each case in part (b), what type of error has possibly been committed? 7.52 A tire gauge, when tested on a machine, is designed to measure 30 pounds per square inch (psi). The manufacturer was concerned that the gauges were not meeting specifications. A sample of 50 readings gave a sample mean of 30.1 psi and a standard deviation of .35. (a) Find the P-value. (b) For which of the following levels of significance would Ho be rejected? i. a = .10 ii. a = .05 iii. a = .01 [Hint: These can be answered using your answer in part (a).] () For each case