# A machine that packages 500-gram boxes of sugar-coated wheat cereal

Exercise 1:

A machine that packages 500-gram boxes of sugar-coated wheat cereal is being studied. The weights for a random sample of 100 boxes of cereal packaged by this machine are given in the attached file.

The quality control analyst wants to estimate the actual amount of sugar-coated wheat cereal contained in 500-gram boxes produced. It is known from the manufacturing specifications that the standard deviation of the amount of wheat cereal is equal to 9.4 grams.

1.1 Set up a 99% confidence interval estimate of the population mean wheat cereal weight.

1.2 On the basis of your results, do you think that the quality control analyst has a right to complain to the production manager? Why?

1.3 Does the population amount of sugar-coated wheat cereal per box have to be normally distributed here? Explain.

1.4 Explain why an observed value of 509.4grams for an individual box is not unusual, even though it is outside the confidence interval you calculated.

1.5 Suppose that you used a 95% confidence interval estimate. What would be your answers to 1.1 and 1.2?

Exercise 2:

John Halikias, plant manager at HOU Vacuum Products, located in Patras, Ahaia, applies statistical thinking in his workplace. As a major supplier to automobile manufacturers, HOU wants to be sure that the leak rate (in cubic centimetres per second) of transmission oil coolers (TOCs) meets the established specification limits. A random sample of 50 TOCs is tested, and the leak rates are recorded in the attached file.

2.1 Estimate with 95% confidence the mean leak rate for this particular product.

2.2 Chyundai Motors, one of the largest customers of HOU Vacuum Products, requires that the leak rate of transmission oil coolers should not exceed the value of 0.05 cubic centimetres per second.

2.2.1 State the null and the alternative Hypotheses

2.2.2 Test the hypothesis at α = 5%

2.2.3 On the basis of your results, are Chyundai Motors requirements satisfied?

Exercise 3:

In a recent study of university libraries, undergraduate students were asked whether they thought that the libraries had an adequate collection of books. The survey results are stored in the attached data file.

3.1 Find an unbiased point estimate of the proportion of students who think that the collection is adequate (code as 1 = yes, 2 = no).

3.2. Find a 95% confidence interval for the proportion of students who think that the library collections are adequate.

3.3 According to the Ministry of Education statistics, the total number of students reaches 500,000. Set up a 95% confidence interval estimate of the population number of students who are not satisfied with the libraries books collection.

Exercise 4:

Do the data of Exercise 4 support the hypothesis that the proportion of students who think that the library collections are adequate is the same for all years of studies?

4.1 State the null and the alternative Hypotheses

4.2 Test the hypothesis at α = 1%

Exercise 5:

MBA60 Inc. is a small, but growing, producer of hot and ready-to-eat breakfast cereals. Two machines are used for packaging 510-gram (18-ounce) boxes of sugar-coated wheat cereal. Estimate the difference in the mean weights of boxes of this type of cereal packaged by the two machines. Use a 95% confidence level and the data in the attached file. Explain your findings.

Note: Use the Z statistic with standard error of (Mean1-Mean2) = (s12/n1 + s22/n2)1/2

Calculate the price
Pages (550 words)
\$0.00
*Price with a welcome 15% discount applied.
Pro tip: If you want to save more money and pay the lowest price, you need to set a more extended deadline.
We know how difficult it is to be a student these days. That's why our prices are one of the most affordable on the market, and there are no hidden fees.

Instead, we offer bonuses, discounts, and free services to make your experience outstanding.
How it works
Receive a 100% original paper that will pass Turnitin from a top essay writing service
step 1
Fill out the order form and provide paper details. You can even attach screenshots or add additional instructions later. If something is not clear or missing, the writer will contact you for clarification.
Pro service tips
How to get the most out of your experience with Australia Assessments
One writer throughout the entire course
If you like the writer, you can hire them again. Just copy & paste their ID on the order form ("Preferred Writer's ID" field). This way, your vocabulary will be uniform, and the writer will be aware of your needs.
The same paper from different writers
You can order essay or any other work from two different writers to choose the best one or give another version to a friend. This can be done through the add-on "Same paper from another writer."
Copy of sources used by the writer
Our college essay writers work with ScienceDirect and other databases. They can send you articles or materials used in PDF or through screenshots. Just tick the "Copy of sources" field on the order form.
Testimonials
See why 20k+ students have chosen us as their sole writing assistance provider
Check out the latest reviews and opinions submitted by real customers worldwide and make an informed decision.
Nice job.
Customer 452441, April 6th, 2022
Retail
Good
Customer 463469, October 18th, 2022
Good work.
Customer 453509, June 6th, 2022
Good work. Looking foward to future contributions.
Customer 463463, October 29th, 2022
Human Resources Management (HRM)
Thank you for this excellent power point
Customer 453633, February 24th, 2020
Education
yes I did
Customer 453969, February 11th, 2020
Fitness
Well-researched content.
Customer 463473, October 25th, 2022
History
The work was done on time and is better than I could have imagined.
Customer 454439, June 1st, 2020
Military
Excellent work
Customer 456821, June 22nd, 2022
Psychology
Outstanding job! Really happy about it. I'm impressed!
Customer 463863, February 24th, 2023
Education
Excellent.
Customer 462865, April 18th, 2022
Very good paper! Thank you.
Customer 463331, April 6th, 2023
11,595
Customer reviews in total
96%
Current satisfaction rate
3 pages
Average paper length
37%
Customers referred by a friend