In: Statistics and Probability
Hosmer Winery has a machine for dispensing their wine into bottles. When the machine is in statistical control, the amount dispensed has a mean of 752 ml. Four random observations taken yesterday were 745, 740, 750, 745 ml. Perform a hypothesis test to examine if the machine is in statistical control. Use alpha = 0.05 level of significance. In the space below, write down the null and alternative hypothesis H_0 and H_1, compute the test statistic value and find the p-value for the test. You can use mu to denote the population mean.
H_0:
H_1:
The test statistic value is
The p-value is
Your conclusion is: