A-Level Coursework on "Offline During the Final Exam Week"

A-Level Coursework 7 pages (2030 words) Sources: 7 Style: APA

[EXCERPT] . . . .

offline during the final exam week. Once you have complete the exam, input your exam into the final exam shell in the exam folder on the course web-page. Good luck

Census statistics show that college graduates make more than $254,000 more in their lifetime than non-college graduates. If you were to question the validity of this observation, what would be your basis for doing so?

Definition of a college graduate

Work lifestyles of the population

Defining "lifetime"

How the Census was taken

The average age in a sample of 190 students at City College is 22. As a result of this sample, it can be concluded that the average age of all the students at City College

A. must be more than 22, since the population is always larger than the sample

must be less than 22, since the sample is only a part of the population

C. could not be

D. could be larger, smaller, or equal to 22

Answer:D

Since a sample is a subset of the population, the sample mean

A. is always smaller than the mean of the population

B. is always larger than the mean of the population

C. must be equal to the mean of the population

D. can be larger, smaller, or equal to the mean of the population

Answer:D

Use the following situation for Questions 4-7. Michael, Inc., a manufacturer of electric defibrillators, is a firm that makes 50 types of electric defibrillators . The table below shows the price distribution of the defibrillators .

Price (in $)

Number of Defibrillators

-- 130

8

- 170

12

- 210

20

- 250

10

Select from the following choices for Questions 4-7. Use letter only in the blank.

A. 32

B. 50%

C. 20

D. 30

E. 16%

F. 10

G. 60%

H. 50

4. How many defibrillators have a price of at least $180?__30

5. What percentage of the defibrillators has a price of at least $180? __60%

6. What percentage of the defibrillators has a price of less than $140? _16%

7. How many defibrillators cost at least $140 but no more than $210? __32

8. Temperature is an example of a. A qualitative variable

B. A quantitative variable

C. either a quantitative or qualitative variable

D. neither a quantitative nor qualitative variable

Answer:B

Use the following situation for Questions 9 and 10.

The following frequency distribution shows the frequency of outbreaks of the "1"1 virus (statistics flu) for the following households in a small rural community.

Households 1134 406-168 41-25 12

Outbreaks

0

1

2

3

4

5

9. Use the frequency distribution to construct a probability distribution by filling in the blanks below.

x

0

1

2

3

4

5

P (x)

P (0) =

P (1) =

P (2) =

P (3) =

P (4) =

P (5) =

10. Compute the mean and the standard deviation and select from the following the appropriate interpretation of the results (select best response)

A. A household on the average has 0.9 outbreaks with a standard deviation of .6 outbreaks

B. A household on the average has 0.6 outbreaks with a standard deviation of 12 outbreaks

C. A household on the average has 0.9 outbreaks with a standard deviation of .9 outbreaks

D. A household on the average has 0.6 outbreaks with a standard deviation of .9 outbreaks

Answer:D (see Appendix 1 for details)

Use the following situation for Questions 11-13.

Twenty students were randomly selected for cholesterol screening. The following data were collected.

11. Using the information above compute the following: (Round to nearest hundredth)

A. Mean = __218.25

B. Median = __217.5

C. Mode = ____221

D. Sample Standard Deviation = _ 31.5025

E. The Sample Variance = 992.40789

F. The Coefficient of Variation = __14.43%____ (as a percent, for example 27.43%)

12. Is the data skewed ____ (select correct letter from list below)

A. No B. Skewed left C. Skewed right D. Unable to determine

Answer: B (Because the Mean and Median are less than the Mode)

13. Which is the best measure of central tendency for the randomly selected cholesterol screenings? ____ (select correct letter from list below)

A. Mean B. Median C. Mode D. It does not matter, one is as good as the other

Answer:a

14. Let event a = a patient does not survive a new treatment procedure for prostrate cancer and event B = the patient is permanently rendered sexually dysfunctional by the new treatment. Furthermore, events a and B. are mutually exclusive. Which of the following statements is also true?

A. A and B. are also independent.

B. P (a or B) = P (a)P (B)

C. P (a or B) = P (a) + P (B)

Answer: A. A and B. are also independent.

D. P (a and B) = P (a) + P (B)

15. Twenty-five percent of the employees of a large hospital are minorities. A random sample of 7 employees is selected.

A. What is the probability that the sample contains exactly 4 minorities? 0.0577

B. What is the probability that the sample contains fewer than 2 minorities? _0.4449

C. What is the probability that the sample contains exactly 1 non-minority? __0.0013

D. What is the expected number of minorities in the sample? ____1.75

E. What is the variance of the minorities? __1.3125

The probability of x successes in n trials is:

P = nCx* where p and q are the probabilities of success and failure respectively.

In this case p equals .25 and q equals.75 and n equals 7

nCx =

P ( sample contains 4 members of the minorities) = 35(.25)^4(.75)^3= 0.0577

P (sample < than 2 members of the minorities)= P (0)+P (1) = (.75)^7 + 7(.25)(.75)^6=

=0.445

P (sample contains exactly 1 member who is a non-minority) = 7(.25)(.75)^6=0.0013

The Expected value of minorities in the sample = .25*7 = 1.75

Variance of the minorities:

variance (x) =?= np (1-p)

= 7x0.25(1-0.25)

=(1.75x0.75)

=1.3125

Select from the answers below. Place the correct letter in the blanks above.

A.

0.5551

B.

1.1456

C.

0.4449

D.

0.0013

E.

1.7226

F.

1.3125

G.

0.0577

H.

.0001

1.75

J.

0.0286

16. The life expectancy of a lung cancer patient treated with a new drug is normally distributed with a mean of 4 years and a standard deviation of 10 months.

A. What is the probability that a randomly selected lung cancer patient will last more than 5 years? __ .0796

B. What percentage of lung cancer patients will last between 5 and 6 years? _68.9%

C. What percentage of lung cancer patients will last less than 4 years? __53.98%

D. What percentage of lung cancer patients will last between 2.5 and 4.5 years? _46.01%

E. If the drug manufacturer guarantees the drug will be effective for a minimum of 3 years (and will pay for the entire treatment program if the patient does not survive), what percentage of lung cancer patients will have to pay for the treatment? _ 88.49%

Select from the answers below. Place the correct letter in the blanks above.

A.

10.69%

B. 11.51%

C. .0796

D. 46.01%

E.

88.49%

F.

68.9%

G. 53.98%

H. 0%

50%

J.

0.06172

17. The life expectancy in the United States is 75 with a standard deviation of 7 years. A random sample of 49 individuals is selected.

A. What is the standard error of the mean?

B. What is the probability that the sample mean will be larger than 77 years? _0.0228

C. What is the probability that the sample mean will be less than 72.7 years? 0.0107

D. What is the probability that the sample mean will be between 73.5 and 76 years? 0.7745

E. What is the probability that the sample mean will be between 72 and 74 years? ____0.1573

F. What is the probability that the sample mean will be larger than 73.46 years? __0.9389

Select from the answers below. Place the correct letter in the blanks above.

A.

0.0107

B.

0.7745

C.

1.0

D.

0.8427

E.

0.9772

F.

0.0228

G.

1/7

H.

0.9389

22.55%

J.

0.1573

18. The standard hemoglobin reading for healthy adult men is 15 g/110 ml with a standard deviation of ? = 2 g. For a group of men, we find a mean hemoglobin of

16.0 g.

A. Obtain a 95% confidence interval for if the group size was 25__ 15.316 -- 16.684

B. Obtain a 95% confidence interval for if the group size was 36____15.347-16.653

C. Obtain a 95% confidence interval for if the group size was 49____15.440-16.560_

Select from the answers below. Place the correct letter in the blanks above.

A.

15.440-16.560

B.

15.347-16.653

C.

14.440-15.560

D.

14.316-15.684

E.

15.316 -- 16.684

F.

14.347-15.653

19. Doubling the size of the sample will

A. reduce the standard error of the mean to one-half its current value

B. reduce the standard error of the mean to approximately 70% of its current value

C. have no effect on the standard error of the mean

D. double the standard error… READ MORE

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