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.

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...

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 10 tablets, the following weights of active ingredient
(in grams) were found:
7 4+(1/5) 10 5+(1/6) 5+(1/3) 4.69 4.95 4.98 4.52 4.63
(Round the numbers to two digit decimals)
Manufacturing department claims that the population mean weight of
active ingredient per tablet is 5 grams. Based on this...

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 10 tablets, the following weights of active ingredient
(in grams) were found:
7 4+(1/5) 10 5+(1/6) 5+(1/3) 4.69 4.95 4.98 4.52 4.63
(Round the numbers to two digit decimals)
Manufacturing department claims that the population mean weight of
active ingredient per tablet is 5 grams. Based on this...

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