Which of the following sample space is/are countable finite?
Number of girls born if twenty babies were born.
Number if coin tosses before the first tail.
Number of death in 30 car accidents.
Number of male students in a 40-students class.
Properties of a discrete probability distribution include:
The probability for every value of a random variable is positive.
The probabilities for any two different values of a random variable are
different.
One of the values of a random variable may have a probability equal to
zero.
The sum of the probability for the value of a random variable is 1.
The x values range from zero to infinity.
It is skewed to the right.
It describes random occurrences over some interval.
Its apex is always at x = 0 .
Which of the following statements is/are not correct regarding the
Durbin/Watson d test?
Durbin-Watson test is used to detect if autocorrelation is present in a
time-series regression analysis.
One drawback of Durbin-Watson d test is if d value falls in the
indecisive zone, one cannot conclude whether autocorrelation does or does
not exist.
The d statistic range between −1 and 1.
Computation of the d statistic is based on the estimated residuals.
Which of the following statements is/are correct regarding sampling
techniques?
For the stratified random sampling, a stratum should be relatively
heterogeneous internally.
Problems with systematic sampling can occur if the data are subject to any
periodicity.
For snowball sampling, survey subjects are selected based on referral from
other survey respondents.
The judgment sampling tends to have systematic error.
Which of the following statements is/are not correct?
The chi-squared distribution is symmetrical.
Contingency table is used to summarize observed and expected frequencies
for a test of Independence.
All values of the chi-squared distribution are positive.
Correlation analysis is/are used to determine
the equation of the regression line.
All of above are not correct.
a specific vale of one variable for a given value of another variable.
the strength of the relationship between the two variables.
Which of the following statements for index number is/are correct?
Laspeyres price index is a weighted aggregate price index computed by
using the quantities of the based years for all other years.
Taiwan consumer price index is based on Passche calculation.
One disadvantage for Laspeyres price index is that ascertaining quantity
figures for each time period is expensive.
The advantage of Passche price index is that it incorporates current quantity
figures in the calculations.
Several important assumptions underlie analysis of variance include:
Observations are drawn from normally distributed population.
Each group need to have equal sample size.
Variances of the population are equal.
Observations represent random samples from the populations.
Reasons for sampling include:
The sample can save time and money.
If accessing the population is impossible, the sample is the only option.
Because the research process is sometimes destructive, the sample can save
product.
For given resources, the sample can broaden the scope of the study.
Which of the following statements for regression analysis is/are correct?
the correlation among the independent variables is termed as
autocorrelation.
F test is used to determine whether an additional variable makes a
significant contribution to a multiple regression model.
the error term ε is assumed to have a variance of zero.
an outlier is an observation whose residual is much larger than the rest of
the residual values.
Which of following statements for nonparametric statistics is/are correct?
Friedman test is a nonparametric alternative to the randomized block design
ANOVA test.
The Runs test is a nonparametric test of randomness.
The Mann-Whitney U test is a nonparametric counterpart of the t test
used to compare the means of two independent populations.
The nonparametric alternative to the one-way ANOVA is the Kruskal-Wallis
test.
Which of the following is/are the control chart abnormalities for which a
statistical process controller should be notice?
Points are above upper control limit.
The centerline shifts from chart to chart.
A trend of consecutive points is present.
Points are below lower control limit.
In the computing industry the average are of professional employees tends to
be younger than in many other business professions. Suppose the average age
of a professional employed by a particular computer firm is 30 with a standard
deviation of 5 years. A histogram of professional employee ages with this
firm reveals that data are not normally distribution but rather are amassed in the
twenties and that few workers are over 40. Apply Chebyshev’s theorem to
determine within what range of ages would be at least 80% of the workers’
ages fall. (5%)
According to the Information Please Almanac, 6% of the human population has
blood type O-negative. What is the probability that, in a random sample of
500, fewer than 25 have blood type O-negative? (5%)
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