Question
1) The starting annual salaries of newly qualified chartered accountants (CAs) in Malaysia follow a normal distribution with a mean of RM180,000 and a standard
1) The starting annual salaries of newly qualified chartered accountants (CAs) in Malaysia follow a normal distribution with a mean of RM180,000 and a standard deviation of RM10,000. What is the probability that a randomly selected newly qualified CA will earn between RM185,000 and RM200,000 per annum?
a.
0.533
b.
0.819
c.
0.242
d.
0.286
2) If the coefficient of determination is 0.81, the correlation coefficient
a.
must be negative
b.
is 0.6561
c.
must be positive
d.
could be either + 0.9 or - 0.9
3) A coin is tossed thrice, there are ................... outcomes
a.
12
b.
8
c.
24
d.
6
4) Two events, A and B, are said to be mutually exclusive if:
a.
P (A and B) = 1
b.
P (B|A) = 1
c.
P (A|B) = 1
d.
P (A and B) = 0
5) Regression analysis was applied to return rates of sparrowhawk colonies. Regression analysis was used to study the relationship between return rate (x: % of birds that return to the colony in a given year) and immigration rate (y: % of new adults that join the colony per year). The following
regression equation was obtained.
y = 31.9 - 0.34x
Based on the above-estimated regression equation, if the return rate were to decrease by 10%, the rate of immigration to the colony would:
a.
decrease by 3.4%
b.increase by 0.34%
c.
increase by 3.4%
d.
decrease by 0.34%
6) A test score at the 80th percentile (P80) indicates that
a.
the test score is less than 80% of all other test scores and greater than or equal to 20% of the scores.
b.
the test score is greater than 80% of all other test scores and less than or equal to 20% of the scores.
c.
the test score is greater than 80 of all other test scores and less than or equal to 20 of the scores.
d.
the test score is greater than 20% of all other test scores and less than or equal to 80% of the scores.
7) Given that X = 1.50 + .50Y, what is the predicted value for a Y value of 6?
a.
3.00
b.
4.00
c.
3.50
d.
4.50
8) In a Poisson probability distribution
a.
The probability of success is always greater than 5
b.
The number of trials is always less than 5
c.
The number of trials is always less than 5
d.
The mean and variance of the distribution are the same (equal)
9) A numerical description of the outcome of an experiment is called a ...............
a.
random variable
b.
descriptive statistic
c.
variance
d.
probability function
10) When the range of the Pearson product-moment correlation coefficient is between 0.81 to 1.00, then the strength of the correlation is:
a.
Very Strong
b.
Strong
c.
Moderate
d.
Weak
11) A random sample of 40 students has mean annual earnings of $3120.A previous study had a population standard deviation of $677. Construct the 95% confidence interval for the population mean.
a.
($4812, $5342)
b.
($2910, $3330)
c.
($1987, $2346)
d.
($210, $110)
12) Which of the following statements is false for an F-distribution?
a.
Degrees of freedom for the numerator can be larger, smaller, or equal to the degrees of freedom for the denominator.
b.
Variables that are F distributed range from 0 to
c.
Exact shape of the distribution is determined by two numbers of degrees of freedom.
d.
Degrees of freedom for the denominator are always smaller than the degrees of freedom for the numerator.
13) In a one-way ANOVA, how many degrees of freedom exist for the F test?
a.
(N - k) and (k - 1)
b.
(k - 1) and (N - 1)
c.
(N - 1) and (k - N)
d.
(N - k) and (n - 1)
14) The measure of location which is the most likely to be influenced by extreme values in the data set is the ..................
a.
mean
b.
square root
c.
standard deviation
d.
range
15) Mode of travel (bus, car, train) is an example of
a.
continuous variable
b.
scale variable
c.
qualitative variable
d.
discrete variable
16) The standard normal curve is symmetric about the value .................
a.
0.5
b.
1.5
c.
0
d.
1
17) A survey of 100 fatal accidents showed that 44 were alcohol-related. Find a point estimate for p, the population proportion of accidents that were alcohol-related.
a.
0.44
b.
0.78
c.
0.306
d.
0.56
18) The height of persons in a country is a random variable of the type
a.
scale variable
b.
qualitative variable
c.
continuous variable
d.
discrete variable
19) A credit card watchdog group claims that there is a difference in the mean credit card debts of households in town A and town B. The alternative hypothesis for the difference between the means is ..........................................
a.
1 - 2 > 0
b.1 - 2 0
c.
1 - 2 < 0
d.1 - 2 = 0
20) A coin is tossed and a die is rolled. Find the probability of getting a head and then rolling a 6.
a.
0.167
b.
0.5
c.
0.667
d.
0.083
21) The t-test for the difference between the means of 2 independent populations assumes that the respective
a.
populations are approximately normal.
b.
sample variances are equal.
c.
all of the above.
d.
sample sizes are equal
22) In a town of 8000 people, 1300 are over 50 years and 3000 are females. It is known that 30% of the females are over 50 years. What is the probability that a chosen individual from the town is either a female or over 50 years?
a.
0.992
b.
0.582
c.
0.425
d.
0.378
23) The one-way ANOVA is used to test statistical hypotheses concerning which of the following?
a.
Standard deviations
b.
Means
c.
Proportions
d.
Variances
24) Which of the following definitions is correct?
a.
an activity, which results in an outcome, is called an event
b.
the probability of an event is expressed in decimal form ranging from -1 to + 1
c.
the sample space refers to all possible outcomes of an experiment
d.
the probability that an event will occur is called the experiment
25) The use of a simple regression assumes:
a.
The variables come from a univariate population.
b.
The error terms are dependent upon one another.
c.
The variables are measured on an ordinal scale
d.
The error terms are normally distributed
26) A survey indicates that for each trip to the supermarket, a shopper spends an average of 45 minutes with a standard deviation of 12 minutes in the store. The length of time spent in the store is normally distributed and is represented by the variable x. A shopper enters the store. Find the probability that the shopper will be in the store for between 24 and 54 minutes.
a.
0.0401
b.
0.7033
c.
0.3337
d.
0.7333
27) A random sample of 100 people was taken. Eighty-five of the people in the sample favored Candidate A. We are interested in determining whether or not the proportion of the population in favor of Candidate A is significantly more than 80%.The test statistic is
a.
2.00
b.
0.05
c.
0.80
d.
1.25
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