1. Determine the best selection of terms concerning with the collection of data, to complete the statement: "The entire group of objects or people about which information is wanted is called the __________. Individual members are called ____________. The _________ is the part that is actually examined in order to gather information."
A. population, explanatory variables, subgroup
B. whole, items of interest, stratum
C. response group, respondents, non-response group
D. sample, units, target population
E. population, units, sample
2. In an experiment to determine if antibiotics increase the final dressed weight of pig, the following were measured on each animal in the study: sex, initial weight, weight gain, grade of meat, where grade is recorded as (A, B, or C). The scale of measurement of these variable are:
A. Nominal, ratio, ratio, ordinal
B. Nominal, ratio, ratio, nominal
C. Nominal, ratio, interval, nominal
D. Ordinal, ratio, ratio, ordinal
E. Ordinal, ratio, ratio, nominal
3. The following is a histogram showing the actual frequency of the closing prices on the Singapore Stock Exchange of a particular stock.
Based on the above frequency histogram for Singapore Stock Exchange, the class that contains the 80th percentile is:
A. 10 - <20
B. 20 - <30
C. 30 - <40
D. 40 - <50
E. 50 - <60
4 The following table represents the relative frequency of accidents per day in a city.
Accidents
0
1
2
3
4 or more
Relative frequency
0.55
0.20
0.10
0.15
0
Which of the following statements are true?
I. The mean and modal number of accidents are equal.
II. The mean and median number of accidents are equal.
III. The median and modal number of accidents are equal.
A. I only
B. II only
C. III only
D. I, II and III
E. I and II
5. Many professional schools require applicants to take a standardized test. Suppose that 1000 students write the test, and you find that your mark of 63 (out of 100) was the 73rd percentile. This means:
A. At least 73% of the people got 63 or better.
B At least 270 people got 73 or better.
C At least 270 people got 63 or better.
D. At least 27% of the people got 73 or worse.
E. At least 730 people got 73 or better.
6. The distribution of the heights of students in a large class is roughly Bell-shaped. Moreover, the average height is 68 inches, and approximately 95% of the heights are between 62 and 74 inches. Thus, the standard deviation of the height distribution is approximately equal to:
A. 2
B. 3
C. 6
D. 9
E. 12
7. A rock concert producer has scheduled an outdoor concert at Sentosa Island. If it is sunny that day, she expects to make a $20,000 profit. If it is cool that day, she expects to make a $5,000 profit. If it is very wet that day, she expects to suffer a $12,000 loss. Based upon historical records, the weather office has estimated the chances of a sunny day to be .60; the chances of a cool day to be . 25 and a wet day to be .15. What is the producer's expected profit?
A. $5,000
B. $13,000
C. $15,050
D. $13,250
E. $11,450
8. The returns on two investments, X and Y, are such that: Var(X) = 4, Var (Y) = 1 and Cov (X, Y) = -1. Which of the following has the smallest risk (smallest variance)?