Mutiple Questions Math 20

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1. A large research hospital and a community hospital are located in your area. The surgery cases, even of the same type, are not equally serious. Large research hospitals tend to get the most serious surgery cases, whereas community hospitals tend to get more of the routine cases. Suppose that patients can be classified as being in either "Good" or "Poor" condition and the outcomes of surgery are as shown in table below.

Survival Rates by Condition
Good Condition		Poor Condition
	Died	Survived	Total		Died	Survived	Total
Research hospital	12	688	700	Research hospital	69	1431	1500
Community hospital	16	584	600	Community hospital	7	93	100
Total	28	1272	1300	Total	76	1524	1600

Round the answers to three decimal places. For Good Condition, calculate the proportions that survived and were in research hospital. (Points : 1)

.017 .981 .983 .973

Question 2. 2. A large research hospital and a community hospital are located in your area. The surgery cases, even of the same type, are not equally serious. Large research hospitals tend to get the most serious surgery cases, whereas community hospitals tend to get more of the routine cases. Suppose that patients can be classified as being in either "Good" or "Poor" condition and the outcomes of surgery are as shown in table below.

Survival Rates by Condition
Good Condition		Poor Condition
	Died	Survived	Total		Died	Survived	Total
Research hospital	12	688	700	Research hospital	70	1430	1500
Community hospital	17	583	600	Community hospital	7	93	100
Total	29	1271	1300	Total	77	1523	1600

Round the answers to three decimal places. For Good Condition, calculate the proportions that died and were in research hospital. (Points : 1)

.017 .972 .047 .983

Question 3. 3. A large research hospital and a community hospital are located in your area. The surgery cases, even of the same type, are not equally serious. Large research hospitals tend to get the most serious surgery cases, whereas community hospitals tend to get more of the routine cases. Suppose that patients can be classified as being in either "Good" or "Poor" condition and the outcomes of surgery are as shown in table below.

Survival Rates by Condition
Good Condition		Poor Condition
	Died	Survived	Total		Died	Survived	Total
Research hospital	12	688	700	Research hospital	69	1431	1500
Community hospital	16	584	600	Community hospital	7	93	100
Total	28	1272	1300	Total	76	1524	1600

Round the answers to three decimal places. For Poor Condition, calculate the proportions that survived and were in community hospital. (Points : 1)

.954 .981 .046 .930

Question 4. 4. A large research hospital and a community hospital are located in your area. The surgery cases, even of the same type, are not equally serious. Large research hospitals tend to get the most serious surgery cases, whereas community hospitals tend to get more of the routine cases. Suppose that patients can be classified as being in either "Good" or "Poor" condition and the outcomes of surgery are as shown in table below.

Survival Rates by Condition
Good Condition		Poor Condition
	Died	Survived	Total		Died	Survived	Total
Research hospital	13	687	700	Research hospital	73	1427	1500
Community hospital	19	581	600	Community hospital	7	93	100
Total	32	1268	1300	Total	80	1520	1600

. Round the answers to three decimal places. For Poor Condition, calculate the proportions that died and were in community hospital. (Points : 1)

.951 .981 .070 .930

Question 5. 5. Calculations from a data set of n = 32 pairs of (x,y) values have provided the following results:

Obtain the correlation coefficient. Round your answer to three decimal places. (Points : 1)

r = -0.597 r = -0.632 r = 0.597 r = 0.632

Question 6. 6. Heating and combustion analyses were performed in order to study the composition of moon rocks. Recorded here are the determinations of hydrogen (H) and carbon (C) in parts per million (ppm) for 11 specimens.

Hydrogen (ppm)	120	90	90	8	38	20	2.8	66	2.0	20	85
Carbon (ppm)	105	110	99	22	50	40	7.3	74	7.7	45	51

Calculate r. Round your answer to three decimal places. (Points: 1)

r = 0.915 r = .528 r = -.915 r = -.528

Question 7. 7. A store manager has determined that the monthly profit y realized from selling a particular brand of car battery is given by y = 11x − 155 where x denotes the number of these batteries sold in a month. If 47 batteries were sold in a month, what was the profit? (Points: 1)

y = 402 y = 362 y = 451 y = 744

Question 8. 8. A store manager has determined that the monthly profit y realized from selling a particular brand of car battery is given by y = 8x − 155 where x denotes the number of these batteries sold in a month. At least how many batteries must be sold in a month in order to make a profit? (Give a whole number.) (Points : 1)

x =14 x =16 x =18 x = 20

Question 9. 9. In an experiment to study the relation between the time waiting in line, y (minutes), to get to the head of the checkout line at her favorite grocery store and the number of persons ahead in line, x, a student collected the following statistics: n = 9 , , Sxx = 9.4 , Syy = 17.8 , Sxy = 11.7 Find the equation of the least squares fitted line. Round your answers to two decimal places.

Depict your answer in the form: (Points : 1)

y = -1.81+1.24*x y =1.81+1.24*x y = 2.01+1.24*x y = 2.01-1.24*x

Question 10. 10. Given the five pairs of (x, y) values,

x	0	2	4	6	8
y	5	4	5	6	7

Calculate the following least squares estimates. Carry out all calculations exactly and round to 3 decimal places the final answers only. (Points : 1)

11. Nausea from air sickness affects some travelers. A drug company, wanting to establish the effectiveness of its motion sickness pill, randomly gives either its pill or a look-alike sugar pill (placebo) to 200 passengers.

Complete the marginal totals.

	Degree of Nausea
	None	Slight	Moderate	Severe	Total
Pill	49	33	15	3	100
Placebo	23	34	32	11	100
Total

12. Nausea from air sickness affects some travelers. A drug company, wanting to establish the effectiveness of its motion sickness pill, randomly gives either its pill or a look-alike sugar pill (placebo) to 200 passengers.

	Degree of Nausea
	None	Slight	Moderate	Severe	Total
Pill	47	32	18	3	100
Placebo	24	32	32	12	100

Calculate the relative frequencies separately for each row. Round your answers to two decimal places.

	Degree of Nausea
	None	Slight	Moderate	Severe	Total
Pill					1.00
Placebo					1.00

13. Nausea from air sickness affects some travelers. A drug company, wanting to establish the effectiveness of its motion sickness pill, randomly gives either its pill or a look-alike sugar pill (placebo) to 200 passengers.

Complete the marginal totals.

	Degree of Nausea
	None	Slight	Moderate	Severe	Total
Pill	48	32	15	5	100
Placebo	21	35	33	11	100
Total

14. Nausea from air sickness affects some travelers. A drug company, wanting to establish the effectiveness of its motion sickness pill, randomly gives either its pill or a look-alike sugar pill (placebo) to 200 passengers.

	Degree of Nausea
	None	Slight	Moderate	Severe	Total
Pill	46	36	15	3	100
Placebo	23	34	32	11	100

Calculate the relative frequencies separately for each row. Round your answers to two decimal places.

	Degree of Nausea
	None	Slight	Moderate	Severe	Total
Pill					1.00
Placebo					1.00

Warning

15. The concentrations of the sex steroids estradiol and testosterone in the blood of male alligators from Lake Apopka were determined by radioimmunoassay. The resulting data are given in the table below:

Male Alligators
estradiol concentration (pg/ml)	testosterone concentration (pg/ml)
38	22
23	24
53	8
37	6
30	7

Make a scatter diagram of the pairs of concentrations for the male alligators.

Choose the correct graph number from the table above:

Calculate the sample correlation coefficient for males.

Round the answer to three decimal places.

r =

16. Calculations from a data set of n = 42 pairs of (x,y) values have provided the following results:

Obtain the correlation coefficient. Round your answer to three decimal places.

17. Heating and combustion analyses were performed in order to study the composition of moon rocks. Recorded here are the determinations of hydrogen (H) and carbon (C) in parts per million (ppm) for 11 specimens.

Hydrogen (ppm)	120	82	90	8	38	20	2.8	66	2.0	20	85
Carbon (ppm)	105	110	99	22	50	60	7.3	74	7.7	45	51

Calculate r. Round your answer to three decimal places.

18. A store manager has determined that the monthly profit y realized from selling a particular brand of car battery is given by

y = 8x − 155

where x denotes the number of these batteries sold in a month.

If 45 batteries were sold in a month, what was the profit?

y =

19. A store manager has determined that the monthly profit y realized from selling a particular brand of car battery is given by

y = 14x − 155

where x denotes the number of these batteries sold in a month.

At least how many batteries must be sold in a month in order to make a profit? (Give a whole number.)

x =

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