A machine being used for packaging seedless golden raisins has been set so that on average, 15 ounces of raisins will be packaged per box. The quality control engineer wishes to test the machine...

A machine being used for packaging seedless golden raisins has been set so that on average, 15 ounces of raisins will be packaged per box. The quality control engineer wishes to test the machine setting and selects a sample of 30 consecutive raisin packages filled during the production process. Their weights are recorded as follows:

15.2 15.3 15.1 15.7 15.3 15.0 15.1 14.3 14.6 14.5 15.0 15.2 15.4 15.6 15.7 15.4 15.3 14.9 14.8 14.6 14.3 14.4 15.5 15.4 15.2 15.5 15.6 15.1 15.3 15.1

At the 5% level of significance, is there evidence that the mean weight per box is different from 15 ounces? Use the 5-step classical rejection region critical value decision rule for this problem. You may use the TI-84 t-test option to calculate the test statistics (tStat). For the rejection region approach recall that we look up the tcritical on the t table, tα,n-1 for a 1 tail and tα/2,n-1 for a 2 tail test. State the meaning of µ, then list the 5 steps. See lecture #14. If you reject Ho, construct a (1-α)% CI for µ, and state what we think µ is now after you reject Ho.