Refer to Exercise 18.33. a. Do the necessary conditions for testing hypotheses and constructing…

Refer to Exercise 18.33.

a. Do the necessary conditions for testing hypotheses and constructing confidence intervals appear to be satisfied? Justify your answers using the residuals from fitting the model from Exercise 18.33.

b. Construct an ANOVA table for this experiment. Make sure to include expected mean squares and the p-values for the F tests.

c. At the   .05 level, which main effects and interaction effects are significant? Justify your answer by including the relevant p-values.

d. What are your overall conclusions about the impact of the four sweeteners and the blending times on the average texture scores?

Exercise 18.33

A group of researchers at a company that produces a leading brand of ice cream design an experiment to evaluate the impact of several artificial sweeteners on the texture of the product. It is well known that replacing natural sweeteners with artificial sweeteners in ice cream can result in a product that is has an unappealing texture. A proposed method to overcome this problem is to increase the blending time in the production process. The researchers decided to use four types of sweeteners: a natural sweetener (control), Aspartame, Saccharin, and Sucralose. Twelve containers of ice cream were made, 3 for each of the four types of sweeteners, with the type of sweetener randomly assigned to the containers. Each of the 12 containers of ice cream was then split into four portions. The four portions were then randomly assigned to one of four blending times: 1 minute, 2 minutes, 5 minutes, and 8 minutes. At the end of the specified blending period, the ice cream was assigned a texture score. The researchers were particularly interested in the impact of the four sweeteners and the blending times on the average texture scores.

a. What type of randomization was utilized in this experiment (completely randomized design, randomized complete block design, Latin square design, etc.)?

b. What type of treatment structure was used (single factor, crossed factors, nested factors, etc.)?

c. Identify each of the factors as being fixed or random.

d. Describe the experimental units for each factor and the measurement units.

e. Write a statistical model for this experiment, and include all necessary conditions on the model parameters and variables.

Calculate the price of your order

550 words
We'll send you the first draft for approval by September 11, 2018 at 10:52 AM
Total price:
$26
The price is based on these factors:
Academic level
Number of pages
Urgency
Basic features
  • Free title page and bibliography
  • Unlimited revisions
  • Plagiarism-free guarantee
  • Money-back guarantee
  • 24/7 support
On-demand options
  • Writer’s samples
  • Part-by-part delivery
  • Overnight delivery
  • Copies of used sources
  • Expert Proofreading
Paper format
  • 275 words per page
  • 12 pt Arial/Times New Roman
  • Double line spacing
  • Any citation style (APA, MLA, Chicago/Turabian, Harvard)

Our guarantees

Delivering a high-quality product at a reasonable price is not enough anymore.
That’s why we have developed 5 beneficial guarantees that will make your experience with our service enjoyable, easy, and safe.

Money-back guarantee

You have to be 100% sure of the quality of your product to give a money-back guarantee. This describes us perfectly. Make sure that this guarantee is totally transparent.

Read more

Zero-plagiarism guarantee

Each paper is composed from scratch, according to your instructions. It is then checked by our plagiarism-detection software. There is no gap where plagiarism could squeeze in.

Read more

Free-revision policy

Thanks to our free revisions, there is no way for you to be unsatisfied. We will work on your paper until you are completely happy with the result.

Read more

Privacy policy

Your email is safe, as we store it according to international data protection rules. Your bank details are secure, as we use only reliable payment systems.

Read more

Fair-cooperation guarantee

By sending us your money, you buy the service we provide. Check out our terms and conditions if you prefer business talks to be laid out in official language.

Read more
error: Content is protected !!