Which one of the following sample values regarding the dispersion of the data is correct
Standard deviation of X is 3.04.
Standard deviation of X is 3.80.
Variance of X is 9.46.
Variance of X is 9.72.
Which one of the following sample values regarding the correction between
two random variables is correct?
the correction coefficient of X and Y is −0.60.
the correction coefficient of X and Y is −0.62.
the covariance of X and Y is −8.62.
the covariance of X and Y is −8.77.
A survey of the annual salaries shows a skewed to the right data. What will be
the most possible ordering between the mean and the median of these types of
data?
mean < median
mean = median
mean > median
Any of the above could be equally possible.
A survey codes the age variable as the following:
1 for age under 20,
2 for age between 20(included) and 40,
3 for age between 40(included) and 60, and
4 for age 60 and over.
What type of measuring scale does this age variable belong to?
Nominal
Ordinal
Interval
Ratio
From the pivot study, a medical diagnostic test gives a positive rate of 10% for
overall subjects, and 92% positive for infected subjects. Assuming the infected
rate for the population is 3%. What is the probability for a tested positive
person to be infected?
77.6%
32.6%
27.6%
8.62%
A study on traffic flow of a highway shows that on the average there are 18.6
cars passed through a one lane size toll station (one car at a time). Let X be the
random variable to recode the time in hour between two successive cars
passing through the toll station. The X is the most likely distributed as
Exponential with mean 1/18.6.
Exponential with mean 18.6.
Poisson with mean 1/18.6.
Poisson with mean 18.6.
A research center would liked to conduct a sampling survey of size n. Under
80% of confidence level what is the minimum of n such that the sampling error
could be lower than 4%?
256
324
423
600
A college had 40% of senior students found their full time job before
graduation in the pass ten years. A random sample of 50 senior students from this
year has only 15 found their full time job before graduation. Let p be the true rate
of getting full time jobs for this year's senior students.
1. Based on the information above, what is the sample value of the unbiased
estimator of p, and what distribution this estimator should be? (4%)
2. Write down the testing hypotheses to test whether p is significantly lower than
previous record. What is the asymptotic p-value of this testing? (8%)
3. Under 5% significant level for the testing in the Question 2, what will be the
asymptotic type II error rate if the true p is 35%? (8%)
Multicollinearity
Serial correlation
Heteroskedasticity
Nonlinear in parameter
Multicollinearity
Serial correlation
Heteroskedasticity
Nonlinear in parameter
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