When operating normally, a manufacturing process produces tablets for which the mean weight of the active ingredients is 5 grams, and the standard deviation is 0.025 gram. For a random sample of 12 tablets the following weights of active ingredient (in grams) were found:
5.01 4.69 5.03 4.98 4.98 4.95
5.00 5.00 5.03 5.01 5.04 4.95
Without assuming that the population variance is known, test the null hypothesis that the population mean weight of active ingredient per tablet is 5 grams. Use a two-sided alternative and a 5% significance level. State any assumptions that you make.
I need to include the following in my answer:
1. The problem statement
2. Assumptions
3. The null and alternate hypothesis statements
4. The significance level
5. The test statistic
6. Decision Rules
7. Calculate Test Statistic and find the p-value
8. Interpret the results of the test.