Question

When operating normally, a manufacturing process produces tablets for which the mean weight of the active...

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

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
When operating normally, a manufacturing process produces tablets for which the mean weight of the active...
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...
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...
**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 pain relief tablets to two different...
A large drug store chain outsources the manufacturing of its pain relief tablets to two different independent manufacturers, Manufacturer A and Manufacturer B. The quality control department of the chain would like to ensure that the population mean amount of the active ingredient in the tablets is still the same between the two manufacturers. The department assumes the population standard deviation for the amount of the active ingredient in a tablet based on the specifications from the manufacturers. The quality...
The dosage of a drug in a particular tablet needs to be precise. It is essential...
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 ingredient with a variance of 0.02. A random sample of 18 tablets finds that the variance of the active ingredient is 0.0118. Does 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 normally distributed . Step 1 of 5 : State...
A drug manufacturer forms tablets by compressing a granular material that contains the active ingredient and...
A drug manufacturer forms tablets by compressing a granular material that contains the active ingredient and various fillers. The hardness of a sample from each batch of tablets produced is measured to control the compression process. The target value for hardness is ȝ= 11.5 The hardness data for a random sample of 20 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,...
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 pieces of cable found diameters with a sample mean of 7 inches and a sample standard deviation of 0,66 inches. 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...
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 drug in each tablet is measured. It is determined that the variance of the amount of active ingredient is 0.0191⁢mg. Does the data suggests at...
A drug, which is used for treating cancer, has potentially dangerous side effects if it is...
A drug, which is used for treating cancer, has potentially dangerous side effects if it is taken in doses which are larger than 47.87⁢mg, the required dosage for the treatment. It is important that the variance of the amount of the active ingredient is 0.04. 15 tablets are randomly selected and the amount of the drug in each tablet is measured. It is determined that the variance of the amount of active ingredient is 0.0008⁢mg. Does the data suggests at...
1. A certain process for manufacturing screws whose nominal diameter is 4.70 mm. Historically the process...
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...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT