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Multiple Choice Questions

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The document discusses multiple choice questions related to statistics concepts such as measures of central tendency, probability distributions, hypothesis testing, and sampling.

A binomial experiment consists of a sequence of identical trials where each outcome is classified as a success or failure, the probabilities remain constant across trials, and the trials are independent.

The level of significance is the maximum allowable probability of making a Type I error, which is rejecting the null hypothesis when it is true.

Multiple choice questions (4 pts each)

1. The average squared deviation is also known as


a. The absolute deviation
b. The variance
c. The standard deviation
d. The interquartile range
e. The range

2. When the formula = $A3 is copied to another cell


a. Both the row and column remain fixed
b. The column remains fixed
c. The row remains fixed
d. The value is unchanged
e. The format is change to currency

3. The sum of squared deviations about the median is


a. Less than the sum of squared deviations about the mean
b. Always zero
c. A measure of skewness
d. Not negative
e. Equal to the variance

4. Social security numbers are on which scale:


a. Nominal
b. Ordinal
c. Interval
d. Ratio
e. Diatonic

5. With data skewed to the right (positive skew)


a. The mean is smaller than the median
b. The median is smaller than the mean
c. The mean is smaller than the mode
d. The median is smaller than the mode
e. The mode is larger than either the mean or the median

6. The value that divides a dataset into an upper and lower half is called
a. the average
b. the mean
c. the median
d. the mode
e. the division
7. When data are standardized, the average value will be
a. zero
b. equal to the standard deviation
c. unchanged
d. measured in units of standard deviation
e. one

8. The function PERCENTRANK(A1:A100,20) will return


a. the rank of the value 20 among the 100 values in A1:A100
b. the fraction of values in A1:A100 that are less than 20
c. the fraction of values in A1:A100 that are more than 20
d. the number of values greater in A1:A100 that are less than 20
e. the average of the values in A1:A100 less than 20

9. Rejecting a true null hypothesis is known as


a. a type I error
b. a type II error
c. a standard error
d. a false positive
e. a false negative

10. Not rejecting a false null hypothesis is known as


a. a type I error
b. a type II error
c. a standard error
d. a false positive
e. a false negative

The measure of location which is the most likely to be influenced by extreme values in
the
data set is the
a. range
b. median
c. mode
d. mean
2. If two events are independent, then
a. they must be mutually exclusive
b. the sum of their probabilities must be equal to one
c. their intersection must be zero
d. None of these alternatives is correct.
3. Two events, A and B, are mutually exclusive and each have a nonzero probability. If
event A is known to occur, the probability of the occurrence of event B is
a. one
b. any positive value
c. zero
d. any value between 0 to 1
4. A numerical description of the outcome of an experiment is called a
a. descriptive statistic
b. probability function
c. variance
d. random variable

In the textile industry, a manufacturer is interested in the number of blemishes or flaws


occurring in each 100 feet of material. The probability distribution that has the greatest
chance of applying to this situation is the
a. normal distribution
b. binomial distribution
c. Poisson distribution
d. uniform distribution

6. Which of the following is not a property of a binomial experiment?

a. the experiment consists of a sequence of n identical trials


b. each outcome can be referred to as a success or a failure
c. the probabilities of the two outcomes can change from one trial to the next
d. the trials are independent

7. The level of significance is the


a. maximum allowable probability of Type II error
b. maximum allowable probability of Type I error
c. same as the confidence coefficient
d. same as the p-value

8. An important application of the chi-square distribution is


a. making inferences about a single population variance
b. testing for goodness of fit
c. testing for the independence of two variables
d. All of these alternatives are correct.

9. For a continuous random variable x, the probability density function f(x) represents
a. the probability at a given value of x
b. the area under the curve at x
c. the area under the curve to the right of x

Convenience sampling is an example of


a. probabilistic sampling
b. stratified sampling
c. nonprobabilistic sampling
d. cluster sampling

11. In hypothesis testing, the hypothesis tentatively assumed to be true is


a. the alternative hypothesis
b. the null hypothesis
c. either the null or the alternative
d. None of these alternatives is correct.

12. In point estimation


a. data from the population is used to estimate the population parameter
b. data from the sample is used to estimate the population parameter
c. data from the sample is used to estimate the sample statistic
d. the mean of the population equals the mean of the sample

13. A variable that takes on the values of 0 or 1 and is used to incorporate the effect of
qualitative variables in a regression model is called
a. an interaction
b. a constant variable
c. a dummy variable
d. None of these alternatives is correct.

14. A property of a point estimator that occurs whenever larger sample sizes tend to
provide
point estimates closer to the population parameter is known as
a. efficiency
b. unbiased sampling
c. consistency

15. If a hypothesis is rejected at the 5% level of significance, it


a. will always be rejected at the 1% level
b. will always be accepted at the 1% level
c. will never be tested at the 1% level
d. may be rejected or not rejected at the 1% level

16. Which of the following does not need to be known in order to compute the p-value?
a. knowledge of whether the test is one-tailed or two-tailed
b. the value of the test statistic
c. the level of significance
d. None of these alternatives is correct.

17. The ANOVA procedure is a statistical approach for determining whether or not
a. the means of two samples are equal
b. the means of two or more samples are equal
c. the means of more than two samples are equal
d. the means of two or more populations are equal

18. The range of the Durbin-Watson statistic is between


a. 1 to 1
b. 0 to 1
c. infinity to + infinity
d. 0 to 4

19. A random sample of 121 bottles of cologne showed an average content of 4 ounces. It
is known that the standard deviation of the contents (i.e., of the population) is 0.22
ounces. In this problem the 0.22 is
a. a parameter
b. a statistic
c. the standard error of the mean
d. the average content of colognes in the long run

20. Whenever using the t distribution in estimation, we must assume that


a. the sample size is at least 30
b. the sampling distribution is approximately normal
c. the population is approximately normal
d. the finite population correction factor is necessary

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