# Cholesterol Level Testing

We have conducted cholesterol level testing for 5 people before and after treatment to interpret the results:

person1(male,normal weight),before treatment cholesterol level was 175-200 and later treatment stayed the same 175-200

person2(male,normal weight),before was 250-300, after stayed same 250-300

person3(female,overweight)before was 200-225, after became 225-250

person4(female,normal weight)before was 175-200, after stayed the same 175-200

person5(male,overweight),before 225-250, after stayed same 225-250

1- Why were the results not expected? I mean we supposed to get better results after the treatment. What is the problem?

2- Did the patients' body weight correlate with their cholesterol levels revealed by the initial testing? Why or why not?

3- Patient#2 did not seem to respond to the program. What might be a reason? What steps could be taken to assist the patient in reducing cholesterol levels?

4- What are some of the functions of cholesterol in the human body?

5- Define the following terms:

a- atherosclerosis

b- LDL

c- HDL

d- hypertension

e- triglyceride

6- How is the risk factor for cardiac disease calculated using the HDL and LDL values?

Can you please also summarize my results in just one paragraph?

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SUMMARY:

The cholesterol levels of five patients were measured before and after a treatment to lower cholesterol. The cholesterol levels of four of the patients stayed the same after treatment while the cholesterol levels of the remaining patient rose slightly. The patients whose cholesterol levels stayed the same were two men of normal weight, a woman of normal weight, and an overweight man. The patient whose cholesterol levels rose was an overweight woman.

QUESTION 1:

There are many reasons why we did not find lower cholesterol levels after treatment. Some of these are:

* The treatment actually doesn't work.

* The treatment would work if combined with a healthy diet and/or exercise (we don't have any evidence of what the patients ate or did).

* The treatment would work in most people, but doesn't work in these specific people due to chance or some factor that we don't know about. If we had a larger sample size, we might see results.

* The treatment will only work in a small subset of the population.

* The treatment lowers (or raises) LDL, but this is offset by an ...

To test if there is significant difference in mean funds.

These are word problems concerning hypothesis theory.

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A financial planner wants to compare the yield of income- and growth-oriented mutual funds. Fifty thousand dollars is invested in each of a sample of 35 income-oriented and 40 growth-oriented funds. The mean increase for a two-year period for the income funds is 1100 with a standard deviation of $45. For the growth oriented funds the mean increase is $1090 with a standard deviation of $55. At the 0.01 significance level is there a difference in the mean yield of the two funds?

a. State the null and alternate hypotheses.

H0: H1:

b. What is the level of significance?

c. State the Critical Value.

d. State the decision rule.

e. Compute the value of the test statistic.

f. Formulate the decision rule.

g. Compute the p-value.

h. What is your decision regarding the null hypothesis?

13. The Human Resources Director for a large company is studying absenteeism among hourly workers. A sample of 120 day shift employees showed 15 were absent more than five days last year. A sample of 80 afternoon employees showed 18 to be absent five or more times. At the 0.01 significance level can we conclude that there is a higher proportion of absenteeism among afternoon employees?

a. State the null and alternate hypotheses.

H0: H1:

b. What is the level of significance?

c. State the Critical Value.

d. State the decision rule.

e. Compute the value of the test statistic.

f. Formulate the decision rule.

g. Compute the p-value.

h. What is your decision regarding the null hypothesis?

---

Is the mean salary of accountants who have reached partnership status higher than that for accountants who are not partners? A sample of 15 accountants who have the partnership status showed a mean salary of $82,000 with a standard deviation of $5,500. A sample of 12 accountants who were not partners showed a mean of $78,000 with a standard deviation of $6,500. At the 0.05 significance level can we conclude that accountants at the partnership level earn larger salaries?

a. State the null and alternate hypotheses.

H0: H1:

b. What is the level of significance?

c. State the Critical Value.

d. State the decision rule.

e. Compute the value of the test statistic.

f. Formulate the decision rule.

g. Compute the p-value.

h. What is your decision regarding the null hypothesis?

---

Two boats, the Parada (Italy) and the Oracle (USA), area competing for a spot in the upcoming America's Cup race. They race over a part of the course several times. Below are the sample times in minutes. At the .05 significance level, can we conclude that there is a difference in their mean times? (textbook problem 11-38).

Parada Oracle

12.9 14.1

12.5 14.1

11.0 14.2

13.3 17.4

11.2 15.8

11.4 16.7

11.6 16.1

12.3 13.3

14.2 13.4

11.3 13.6

10.8

19.0

a. State the null and alternate hypotheses.

H0: H1:

b. What is the level of significance?

c. State the Critical Value.

d. State the decision rule.

e. Compute the value of the test statistic.

f. Formulate the decision rule.

g. Compute the p-value.

h. What is your decision regarding the null hypothesis?

The President and CEO of Cliff Hanger International Airlines is concerned about high cholesterol levels of the pilots. In an attempt to improve the situation a sample of seven pilots is selected to take part in a special program, in which each pilot is given a special diet by the company physician. After six months each pilot's cholesterol level is checked again. At the 0.01 significance level can we conclude that the program was effective in reducing cholesterol levels?

Pilot Before After d

1 255 210

2 230 225

3 290 215

4 242 215

5 300 240

6 250 235

7 215 190

a. State the null and alternate hypotheses.

H0: H1:

b. What is the level of significance?

c. State the Critical Value.

d. State the decision rule.

e. Compute the value of the test statistic.

f. Formulate the decision rule.

g. Compute the p-value.

h. What is your decision regarding the null hypothesis?