Rejection Region

After reviewing data from a sample, an inference can be made about the population. For example,

Find a data set on the internet. Some suggested search terms: Free Data Sets, Medical Data Sets, Education Data Sets.

1. Introduce your Data Set and Cite the Source.
2. What trends do you notice in your data set?
3. Based on the trends and the history of your data set, make a claim. What kind of test (left, right, two-tailed) would you have to complete?
4. Explain the steps needed to complete the Hypothesis Test. What is needed?

After reviewing data from a sample, an inference can be made about the population. For example,

Find a data set on the internet. Some suggested search terms: Free Data Sets, Medical Data Sets, Education Data Sets.

1. Introduce your Data Set and Cite the Source.
2. What trends do you notice in your data set?
3. Based on the trends and the history of your data set, make a claim. What kind of test (left, right, two-tailed) would you have to complete?
4. Explain the steps needed to complete the Hypothesis Test. What is needed?

Cholesterol levels for a group of women aged 50-59 follow an approximately normal distribution with mean 216.57 milligrams per deciliter (mg/dl). Medical guidelines state that women with cholesterol levels above 240 mg/dl are considered to have high cholesterol and about 29.6% of women fall into this category.

1. What is the Z-score that corresponds to the top 29.6% (or the 70.4-th percentile) of the standard normal distribution? Round your answer to three decimal places.

2. Find the standard deviation of the distribution in the situation stated above. Round your answer to 1 decimal place.

Cholesterol levels for a group of women aged 30-39 follow an approximately normal distribution with mean 190.14 milligrams per deciliter (mg/dl). Medical guidelines state that women with cholesterol levels above 240 mg/dl are considered to have high cholesterol and about 9.3% of women fall into this category.

1. What is the Z-score that corresponds to the top 9.3% (or the 90.7-th percentile) of the standard normal distribution? Round your answer to three decimal places.

2. Find the standard deviation of the distribution in the situation stated above. Round your answer to 1 decimal place.

1. Was there a noticeable difference between the acid treated apple piece and the untreated apple piece? Explain. Could you use vinegar instead of pineapple juice? Would you want to?
2. Obtain your bread dough and describe how it has changed since it was first made. Pull it apart and make notes about the texture, the odor, and the volume of dough. Explain the biochemistry behind this metamorphosis.
3. Why do you think that cheese is less subject to spoilage than milk?
4. Do you think that there is some population of cells in you (yourself!) that is currently undergoing mitosis?
5. What kind of circumstances would promote mitosis (e.g. a finger has been cut)?
6. Do you think that there is some population of cells in you that might never, or only very rarely, undergo mitosis at this point in your life?
7. What was the appearance of the DNA as you were spooling it?
8. What reagent (chemical compound) was used to cause the DNA to precipitate from the solution, Thus allowing it to be spooled onto the wooden applicator stick?
9. At what two wavelengths does DNA absorb? At which wavelength does it absorb the most?

Forrest Gardner, owner of Gardner's Gardens, just completed his first year in business and has received financial statements that have been prepared by his accountant. Gardner finds the income statement and balance sheet to be informative, however, he does not understand the statement of cash flows. He says that the first section is especially confusing.

Write a summary explaining the following:

1. Purpose and sections of the cash flow statement.

2. Explain why the first section may be confusing.

Companies often have different mutual funds to serve different investment time horizons. Use the tab titled BESTFUNDS to determine if there is a difference between in the three-year annualized return for small cap growth, mid-cap growth, and large cap growth mutual funds.

(a) Identify which type of test you plan to use and why.

(b) Analyze and report your findings.

(c) Put the findings into meaningful words (i.e., explain what the test allows you to conclude about the types of mutual funds).

(d) Does your result from

(b) give you statistical permission to probe group differences, yes or no?

Companies often have different mutual funds to serve different investment time horizons. Use the tab titled BESTFUNDS to determine if there is a difference between in the three-year annualized return for small cap growth, mid-cap growth, and large cap growth mutual funds. (a) Identify which type of test you plan to use and why. (b) Analyze and report your findings. (c) Put the findings into meaningful words (i.e., explain what the test allows you to conclude about the types of mutual funds). (d) Does your result from (b) give you statistical permission to probe group differences, yes or no?

12 pts) Use Mathematical Induction to prove that a_n=n³+5n is divisible by 6 when ever n≥0. You may explicitly use without proof the fact that the product n(n+1) of consecutive integers n and n+1 is always even, that is, you must state where you use this fact in your proof.Write in complete sentences since this is an induction proof and not just a calculation. Hint:Look up Pascal’s triangle.

(a)

Verify the initial case n= 0.

(b)

State the induction hypothesis.

(c)

Perform the induction