Question

**Please calculate using JMP and show anaylsis*

When operating normally, a manufacturing process produces tablets for which the mean weight of the active ingredient is 5 grams, and the standard deviation is 0.025 gram. For a random sample of 12 tables 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

Answer 1

Here claim is that mean is 5 grams

So hypothesis is vs

For given data mean is

As the population standard deviation is known we will use z distribution to find test statistics

So P value is

As P value is less than 5% significance level so we reject the null hypothesis

Hence we do not have sufficient evidence to support the claim that the population mean weight of active ingredient per tablet is 5 grams.