A manufacturer of chocolate candies uses machines to package candies as they move along a filling line. Although the packages are labeled as 8 ounces, the company wants the packages to contain a mean of 8.17 ounces so that virtually none of the packages contain less than 8 ounces. A sample of 50 packages is selected periodically, and the packaging process is stopped if there is evidence that the mean amount packaged is different from 8.17 ounces. Suppose that in a particular sample of 50 packages, the mean amount dispensed is 8.159 ounces, with a sample standard deviation of 0.051 ounce. Is there evidence that the population mean amount is different from 8.17 ounces? (Use a 0.05 level of significance.)

1: State the null and alternative hypotheses

2: State the level of significance,

3: State the standardized test statistic

4: State the rejection region

5: Calculate the standardized test statistic and see if it falls in the rejection region.

6: State your conclusion in terms of the problem.