Question: 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

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

Assuming that the population is normally distributed, test the null hypothesis that the population standard deviation is 0.025 gram against the alternative hypothesis that the population standard deviation exceeds 0.025 gram. Use a 5% significance level. Apply the PValueApproach.

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