What is the probability that a randomly selected person is a female and
capital gains tax supporter?
0.10
0.16
0.57
0.83
Suppose we select a female respondent, what is the probability that she is
not a capital gains tax supporter?
0.2
0.3
0.6
0.8
There are 15 professors in the School of Education. 12 of them have
received good evaluations from students, while 3 received poor evaluations.
You will take three courses in the School of Education next semester. What
is the probability that all of your professors next semester have received
good evaluations?
0.516
0.484
0.258
0.242
A random variable X is normally distributed with mean of 50 and
variance of 49, and a random variable Y is normally distributed with
mean of 100 and variance of 100. Given the random variables X and Y
have a correlation coefficient equal to −0.80 , what is the variance of the
random variable W = 4X − 3Y ?
2488
3002
3028
4342
In a recent survey of high school students, it was found that the average
amount of money spent on entertainment each week was normally
distributed with a mean of $50 and a standard deviation of $20. Assume
that these values are representative of all high school students. The
probability is 67% that the average spending of a sample of 25
randomly-selected students will spend at least how much? [Hint: Prob (z <
0.44) = 0.67]
40.66
48.24
60.77
70.99
In a recent survey of 900 adults, 10% indicated that they had fallen asleep
in front of the television in the past month. What is the level of confidence
associated with the interval of 8% to 12%? [Hint: Prob (z < 1) = 0.8643;
Prob(z < 2) = 0.9772; Prob(z < 3) = 0.9987 ]
0.9
0.93
0.95
0.98
You are interested in determining the amount of time (in minutes) you
spend each day on the Internet. For nine days, the average and the
standard deviation are 47 and 30, respectively. Assume that the amount of
time you spend on the Internet each day is normally distributed, what is
the 90% confidence interval for the population average amount of time?
47 ±18.6
47 ±18.33
47 ± 23.06
47 ± 22.62
If multicollinearity exists among the independent variables included in a
multiple regression model, then:
regression coefficients will be difficult to interpret
standard errors of the regression coefficients for the correlated
independent variables will increase
multiple coefficient of determination will assume a value close to zero
both (A) and (B) are correct statements
Serial Correlation
Specification bias
Multicollinearity
Heteroscedasticity
The manager of a used-car dealership is very interested in the resale price of
used cars. The manager feels that the age of the car is important in
determining the resale value. He collects data on the age and resale value of 15
cars and runs a regression analysis with the value of the car (in thousands of
dollars) as the dependent variable and the age of the car (in years) as the
independent variable. Unfortunately, he spilled his coffee on the printout and
lost some of the results, identified by “A” through “F ”. The partial results left
are displayed below.
What is the value of “A”?
0.195
0.805
0.442
0.67
The manager of a used-car dealership is very interested in the resale price of
used cars. The manager feels that the age of the car is important in
determining the resale value. He collects data on the age and resale value of 15
cars and runs a regression analysis with the value of the car (in thousands of
dollars) as the dependent variable and the age of the car (in years) as the
independent variable. Unfortunately, he spilled his coffee on the printout and
lost some of the results, identified by “A” through “F ”. The partial results left
are displayed below.
What is the value of “B”?
2.58
6.67
3.60
3.95
The manager of a used-car dealership is very interested in the resale price of
used cars. The manager feels that the age of the car is important in
determining the resale value. He collects data on the age and resale value of 15
cars and runs a regression analysis with the value of the car (in thousands of
dollars) as the dependent variable and the age of the car (in years) as the
independent variable. Unfortunately, he spilled his coffee on the printout and
lost some of the results, identified by “A” through “F ”. The partial results left
are displayed below.
What is the value of “D”?
172.25
152.42
140.03
168.48
The manager of a used-car dealership is very interested in the resale price of
used cars. The manager feels that the age of the car is important in
determining the resale value. He collects data on the age and resale value of 15
cars and runs a regression analysis with the value of the car (in thousands of
dollars) as the dependent variable and the age of the car (in years) as the
independent variable. Unfortunately, he spilled his coffee on the printout and
lost some of the results, identified by “A” through “F ”. The partial results left
are displayed below.
What is the value of “E”?
9.35
3.06
9.82
22.96
What is the total expected increase in the dependent variable over time
period t and all future time periods?
1/(1 −γ )
What is the expected increase in the dependent variable in time period
(t +1) ?
β1γ
β1γ2
β1γ3
β1 +β0
Random samples of 20000 people in the Kaohsiung and in Taipei indicated
that 85% of the people in the Kaohsiung and 95% of the people in Taipei
were positive about the future economy. Does this provide strong evidence
at the 5% significance level that the people in Kaohsiung are more
pessimistic about the economy? [Hint: Prob(z < 1.96) = 0.975 ;
Prob(z < 1.645) = 0.95]
You are comparing the precision of two brands of stamping machines.
From a random sample of 12 units of output from the Brand A machine,
you find that it produces with a standard deviation of 15. For the Brand B
machine, in a sample of 20 units of output, you find a standard deviation of
10. Is this sufficient evidence at the 5% significance level to conclude that
Brand B machines produce with lower variance? Assume that the output of
both machines follows a normal distribution. [Hint: Prob (F11,19 > 2.38) =
0.05; Prob (F12, 20 > 2.28) = 0.05]
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