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 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
information;

a) State your hypothesis H0 and H1.

b) State the decision rule (exactly as in the book), sample
statistics, table value and test statistic (with the exact formula)
in the same order as in the extra-solved examples on hypothesis
testing.

c) Test, at the 10% significance level, the null hypothesis

PLEASE SOLVE ON THE PAPER

Answer #1

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 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...

**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...

A large drug store chain outsources the manufacturing of its
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the two manufacturers. The department assumes the population
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The dosage of a drug in a particular tablet needs to be precise.
It is essential that the tablets contain 59.21mg of the active
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the data suggests at α=0.025 that the variance of the drug in the
tablets is less than the desired amount? Assume the population is
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. Step 1 of 5 : State...

A drug manufacturer forms tablets by compressing a granular
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The hardness of a sample from each batch of tablets produced is
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tablets are:
11.627 11.613 11.493 11.602 11.360 11.374 11.592 11.458 11.552
11.463 11.383 11.715 11.485 11.509 11.429 11.477 11.570 11.623
11.472 11.531
At the 5% significance level,...

2.) A process produces cable for the local telephone company.
When the process is operating correctly, cable diameter follows a
normal distribution with mean 4 inches. A random sample of 48
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a) State your hypothesis H0 and H1 claiming that the process is
operating correctly.
b) State the decision rule, sample statistics, table value and
test statistic in the same...

A drug, which is used for treating cancer, has potentially
dangerous side effects if it is taken in doses which are larger
than 58.68mg, the required dosage for the treatment. It is
important that the variance of the amount of the active ingredient
is 0.02. 25 tablets are randomly selected and the amount of the
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of the amount of active ingredient is 0.0191mg. Does the data
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A drug, which is used for treating cancer, has potentially
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1. A certain process for manufacturing screws whose nominal diameter is 4.70 mm. Historically the process standard deviation is known to be 0.05mm. Measurements are taken on a sample with the intention of evaluating the process mean. The results were the following:
#Data/How Frequently
4.52
1
4.66
4
4.67
5
4.68
7
4.69
14
4.70
9
4.71
6
4.72
4
a. Do you think the mean is at "face"/nominal value?
b. What is the P-value of the test?
c. What...

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