1. The range of the product moment correlation coefficient is
   1. -1 to 0.
   2. 0 to -1.
   3. -1 to 1.
   4. 1 to 0.

1. Which of the following would not represent the product moment correlation?’
   1. r=0.99.
   2. r=1.09.
   3. r=-1.
   4. r=1.

1. Regression analysis was applied between sales and advertising across all the branches of a major international corporation. The following regression function was obtained as y=5,000 + 7.25x. If the advertisement budgets of two branches of the corporation differ by $25,000, then the predicted difference in their sales will be
   1. $217,000.
   2. $222,000
   3. $5,000
   4. $7.25

1. If we know that the length of time it takes a college student to find a parking spot in the library parking lot follows a normal distribution with a mean of 3.5 minutes and a standard deviation of 1 minute, find the probability that a randomly selected college student will find a parking spot in the library parking lot in less than 3 minutes.
   1. 0.3551
   2. 0.3085
   3. 0.2674
   4. 0.1915

1. If we know that the length of time it takes a college student to find a parking spot in the library parking lot follows a normal distribution with a mean of 3.5 minutes and a standard deviation of 1 minute, find the probability that a randomly selected college student will take between 2 and 4.5 minutes to find a parking spot in the library parking lot.
   1. 0.0919
   2. 0.2255
   3. 0.4938
   4. 0.7745

SECTION B

1. Nissan Ltd. employs ten sales representatives. The following table represents data relating to the number of sales call each one made during November 2014 and the number of units of the product sold:

Sales Representative #	Number of calls	Number of units sold
1	14	28
2	35	66
3	22	38
4	29	70
5	6	22
6	15	27
7	17	28
8	20	47
9	12	14
10	29	68

Required to do:

1. Identify the independent and dependent variable. (2 marks)
2. Draw a scatter diagram using the above information. (4 marks)
3. Compute the coefficient of correlation and interpret its vale. (9 marks)
4. Determine the regression equation that shows the relationship between the number of calls and number of units sold. (5 marks)
5. Determine the coefficient of determination. (2 marks)
6. If sales representative # 6 makes 20 calls during a month what would be the expected number of units sold? (3 marks)

2. For an examination students arrive randomly at an average rate of 4 minutes. Assuming the students arrival form a Poisson distribution, calculate the probability that:

a. x=2. (3 marks)

b. x≤2. (3 marks)

c. x>2. (3 marks)

d. x=0 (3 marks)

3. A random variable X has a normal distribution with mean µ = 465 and a standard distribution σ = 95, find the values for the following and draw the area under the curve

1. P(95 ≤ X ≤ 575) (5 marks)
2. P(35≤X≤60) (5 marks)
3. J if P(X≥J)=0.1368 (5 marks)
4. L if P(X≤L)=0.9778 (3 marks)

Answer rating: 100% (QA)

Answer 1 The range of the product moment correlation coefficient is 1 to 1 The correct answer for the representation of the product moment correlation is r109 2 Predicted difference in sales The regre... View the full answer