Mid-term Test Week 5 P2 #MCQ2

Question 1

11/ If the standard deviations of x and y are 16 and 9, respectively, and the covariance is 100, then the coefficient of correlation is approximately:

1. 0.694
2. 1.44
3. 8.33
4. None of the above

Answer 1

11/ If the standard deviations of x and y are 16 and 9, respectively, and the covariance is 100, then the coefficient of correlation is approximately:

1. 0.694
2. 1.44
3. 8.33
4. None of the above

Question 2

12/ The following data provide the hours of television viewing per week for a sample of 10 high school students in Darwin:

0, 1, 5, 7, 8, 9, 12, 14, 14, and 22.

Which one of the following statements is False?

1. The 25th percentile of the data is 4
2. The 50th percentile of the data is 8.5
3. The 75th percentile of the data is 14
4. The Interquartile range of the data is 22.

Answer 2

12/ The following data provide the hours of television viewing per week for a sample of 10 high school students in Darwin:

0, 1, 5, 7, 8, 9, 12, 14, 14, and 22.

Which one of the following statements is False?

1. The 25th percentile of the data is 4
2. The 50th percentile of the data is 8.5
3. The 75th percentile of the data is 14
4. The Interquartile range of the data is 22.

Question 3

13/ Consider the following box plot which depicts diesel and petrol (ULP) prices in the states of Queensland (QLD) and New South Wales (NSW) in January 2011.

Which of the following statements is false?

1. Diesel prices are generally higher than petrol prices in both states.
2. Diesel prices in QLD are less volatile than diesel prices in NSW.
3. Queensland petrol prices are more volatile than either diesel prices or New South Wales petrol prices
4. None of the above

Answer 3

Consider the following box plot which depicts diesel and petrol (ULP) prices in the states of Queensland (QLD) and New South Wales (NSW) in January 2011.

Which of the following statements is false?

1. Diesel prices are generally higher than petrol prices in both states.
2. Diesel prices in QLD are less volatile than diesel prices in NSW.
3. Queensland petrol prices are more volatile than either diesel prices or New South Wales petrol prices
4. None of the above

Question 4

14/ The number of hours a college student spent studying (per day) during the final exam week was recorded as follows:

7, 6, 4, 9, 8, 5, 10

What is the range and standard deviation of the data?

1. Range=6 hours and standard deviation =2.16 hours
2. Range = 3 hours and standard deviation =4.667 hours
3. Range = 10 hours and standard deviation =2.5
4. Range is 3 and the interquartile range is 9

Answer 4

14/ The number of hours a college student spent studying (per day) during the final exam week was recorded as follows:

7, 6, 4, 9, 8, 5, 10

What is the range and standard deviation of the data?

1. Range=6 hours and standard deviation =2.16 hours
2. Range = 3 hours and standard deviation =4.667 hours
3. Range = 10 hours and standard deviation =2.5
4. Range is 3 and the interquartile range is 9

Question 5

15/ The collection of all possible outcomes of an experiment is called:

1. a simple event
2. a sample
3. a population
4. a sample space

Answer 5

15/ The collection of all possible outcomes of an experiment is called:

1. a simple event
2. a sample
3. a population
4. a sample space

Question 6

16/ Of the last 500 customers entering a supermarket, 50 have purchased a wireless phone. If the relative frequency approach for assigning probabilities is used, the probability that the next customer will purchase a wireless phone is

1. 0.90
2. 0.50
3. 0.10
4. Cannot be determined from the information given.

Answer 6

16/ Of the last 500 customers entering a supermarket, 50 have purchased a wireless phone. If the relative frequency approach for assigning probabilities is used, the probability that the next customer will purchase a wireless phone is

1. 0.90
2. 0.50
3. 0.10
4. Cannot be determined from the information given.

Question 7

17/If two events are mutually exclusive, what is the probability that both occur at the same time?

1. 0.0
2. 0.5
3. 1.0
4. Cannot be determined from the information given.

Answer 7

17/If two events are mutually exclusive, what is the probability that both occur at the same time?

1. 0.0
2. 0.5
3. 1.0
4. Cannot be determined from the information given.

Question 8

18/ An international aerospace company has submitted bids on two separate federal government defense contracts, A and B. The company feels that it has a 50% chance of winning contract A and a 20% chance of winning contract B. If the company has already won contract B, the company believes it would then have a 60% chance of winning contract A. If the company wins contract B, what is the probability that it will not win contract A?

1. 80%
2. 50%
3. 40%
4. Cannot be determined from the information given.

Answer 8

18/ An international aerospace company has submitted bids on two separate federal government defense contracts, A and B. The company feels that it has a 50% chance of winning contract A and a 20% chance of winning contract B. If the company has already won contract B, the company believes it would then have a 60% chance of winning contract A. If the company wins contract B, what is the probability that it will not win contract A?

1. 80%
2. 50%
3. 40%
4. Cannot be determined from the information given.

Question 9

19/ If X and Y are random variables with E(X) =10 and E(Y) = 5, then E(X + 2Y-5) is:

1. 15
2. 20
3. 30
4. 150

Answer 9

19/ If X and Y are random variables with E(X) =10 and E(Y) = 5, then E(X + 2Y-5) is:

1. 15
2. 20
3. 30
4. 150

Question 10

20/ If X and Y are random variables with variance V(X) =10 and V(Y) = 5, V(X + 2Y-5) is:

1. 15
2. 20
3. 30
4. None of the above

Answer 10

20/ If X and Y are random variables with variance V(X) =10 and V(Y) = 5, V(X + 2Y-5) is:

1. 15
2. 20
3. 30
4. None of the above