“My Aunt Harriet smoked, but lived to age 90.” This best illustrates which
fallacy?
Unconscious bias.
Significance versus practical importance.
Post hoc reasoning.
Small sample generalization.
All of the above.
None of the above.
If you have 256 data points, how many classes would Sturges’ Rule
suggest?
6
7
8
9
10
11
Exam scores in a small class were 10, 10, 20, 20, 40, 60, 80, 80, 90, 100, 100.
For this data, which statement is incorrect concerning central tendency?
The median is 60.00
The mode is not helpful.
The geometric mean is 35.05.
The midrang is 55.00.
The range is 90.00.
The 5% trimmed mean would be awkward.
Three randomly chosen University students were asked how many times
they went to movies last year. Their replies were 5, 6, 7. The coefficient of
variation is
16.6%
13.6%
20.0%
35.7%
40.0%
None of the above.
Suppose that within a given population, 22% of the people are smokers,
57% of the people are males, and 12% are males who smoke. If a person is
chosen at random from the population, what is the probability that the
selected person is a female who smokes?
0.10
0.12
0.22
0.25
0.43
None of the above.
If freeway speeds are normally distributed with a mean of 70 mph and a
standard deviation of 7 mph, about what percent of cars will exceed 78
mph?
12.7%
15.8%
34.1%
43.7%
87.3%
None of the above.
The variable z has a standard normal distribution. A student’s grade on
an examination was transformed to a z value of 0.67. Therefore, we know
that she scored approximately in the top
15%
20%
25%
30%
40%
50%
To estimate the average annual expenses of students on books and class
material a sample of size 36 is taken. The mean is $850 and the standard
deviation is $54. A 99% confidence interval for the population mean is
$823.72 to $876.28
$825.48 to $874.52
$826.82 to $873.18
$829.73 to $870.27
$831.73 to $868.27
None of the above.
The MPG (miles per gallon) for a certain compact car is normally
distributed with a mean of 31 and a standard deviation of 0.8. What is the
probability that the MPG for a randomly selected compact car would be
less than 32?
0.3944
0.8944
0.1056
0.5596
0.2643
None of the above.
A simple random sample of 100 observations was taken from a large
population. The sample mean and the standard deviation were determined
to be 80 and 12 respectively. The standard error of the mean is
1.20
0.12
1.00
0.10
8.00
0.80
A population consists of 500 elements. We want to draw a simple random
sample of 50 elements from this population. On the first selection, the
probability of an element being selected is
0.010
0.001
0.020
0.002
0.100
None of the above.
A finite population correction factor is needed in computing the standard
deviation of the sampling distribution of sample means.
whenever the population is infinite.
whenever the sample size is more than 5% of the population size.
whenever the sample size is less than 5% of the population size.
whenever the sample size is more than 10% of the population size.
whenever the sample size is less than 10% of the population size.
The correction factor is not necessary if the population has a normal
distribution.
The following data was collected from a simple random sample of a
population
13 15 14 16 12
The point estimate of the population mean is
cannot be determined, since the population size is unknown.
4
5
14
15
16
A 95% confidence interval for a population mean is determined to be 100 to
120. If the confidence coefficient is reduced to 0.90, the interval for μ .
becomes narrower
becomes wider
does not change
becomes 0.1
becomes 0.9
None of the above.
It is known that the variance of a population equals 1,936. A random
sample of 121 has been taken from the population. There is a .95
probability that the sample mean will provide a margin of error of
6.74
7.84
31.36
34.96
344.96
1,936
The sample size needed to provide a margin of error of 2 or less with a .95
probability when the population standard deviation equals 11 is
9
10
11
116
117
118
If the level of significance of a hypothesis test is raised from .01 to .05, the
probability of a Type II error
will also increase from .01 to .05.
will increase from .01 to .025.
will not change
will decrease
will increase
None of the above.
A two-tailed test is performed at 95% confidence. The p-value is
determined to be 0.09. The null hypothesis.
must be rejected
should not be rejected.
could be rejected, depending on the sample size.
could be not rejected, depending on the sample size.
has been designed incorrectly.
None of the above.
“Currently, only 20% of arrested drug pushers are convicted,” cried
candidate Courageous Calvin in a campaign speech. “Elect me and you’ll
see a big increase in convictions.” A year after his election a random
sample of 144 case files of arrested drug pushers showed 36 convictions.
For a right-tailed test, the p-value is approximately
0.025
0.043
0.050
0.067
0.082
0.200
In a sample of 200 business school seniors, 26 planned to pursue an MBA
degree, compared with 120 of 800 arts and sciences seniors. What is the
p-value to decide whether there is a difference in the proportions of
business school seniors planning to pursue an MBA degree as compared to
the proportion of arts and sciences seniors with similar plans?
0.2358
0.2642
0.3246
0.4716
0.5124
0.5284
If two independent large samples are taken from two populations, the
sampling distribution of the difference between the two samples means
can be approximated by a Poisson distribution.
will have a variance of one.
can be approximated by a binomial distribution.
can be approximated by a normal distribution.
will have a mean of one.
None of the above.
In a random sample of 810 women employees, it is found that 81 would
prefer working for a female boss. The width of the 95% confidence interval
for the proportion of women who prefer a female boss is
±0.0288
±0.0211
±0.0196
±0.0105
±0.0098
±0.0049
A financial institution wishes to estimate the mean balances owed by its
credit card customers. The population standard deviation is estimated to
be $300. If a 99 percent confidence interval is used and an interval of ±$75
is desired, how many cardholders should be sampled?
3382
846
629
87
382
107
A study found a positive correlation between the hair color of a worker and
his or her salary. You may correctly conclude.
blonds have better jobs.
the correlation must be negative.
this is incorrect because correlation makes no sense here.
hair color helps influence your salary.
hair color and his or her salary are independent.
None of the above.
In an analysis of variance problem involving 3 treatments and 10
observations per treatment, SSE = 399.6. The MSE for this situation is
133.2
14.8
13.32
30
10
3
Exhibit A
Refer to Exhibit A. The class width for this distribution
8
9
10
11
12
varies from class to class
Exhibit A
Refer to Exhibit A. The number of students working 19 hours or less
is 40
is 50
is 70
is 80
is 90
cannot be determined without the original data.
Exhibit A
Refer to Exhibit A. The relative frequency of students working 9 hours or
less
is .2
is .45
is .40
is .50
is .70
cannot be determined from the information given
Exhibit A
Refer to Exhibit A. The cumulative relative frequency for the class of 10 –
19
is .90
is .25
is .45
is .50
is .70
cannot be determined from the information given.
Exhibit B
A random sample of 16 statistics examinations from a large population was
taken. The average score in the sample was 78.6 with a variance of 64. We are
interested in determining whether the average grade of the population is
significantly more than 75. Assume the distribution of the population of grades
is normal.
Refer to Exhibit B. The test statistic is
0.45
0.90
1.80
3.6
7.2
8.0
Exhibit B
A random sample of 16 statistics examinations from a large population was
taken. The average score in the sample was 78.6 with a variance of 64. We are
interested in determining whether the average grade of the population is
significantly more than 75. Assume the distribution of the population of grades
is normal.
Refer to Exhibit B. At 95% confidence, it can be concluded that the average
is not significantly greater than 75.
is significantly greater than 75.
is not significantly greater than 78.6.
is significantly greater than 78.6.
is not significantly greater than 64.
is significantly greater than 64.
Exhibit C
The following information was obtained from matched samples. The daily
production rates for a sample of workers before and after a training program
are shown below.
Refer to Exhibit C. The point estimate for the difference between the
means of the two populations is
–2
–1
0
1
2
None of the above.
Exhibit C
The following information was obtained from matched samples. The daily
production rates for a sample of workers before and after a training program
are shown below.
–1.96
–1.645
0
1.645
1.96
None of the above.
Exhibit C
The following information was obtained from matched samples. The daily
production rates for a sample of workers before and after a training program
are shown below.
Refer to Exhibit C. Based on the results of question 32, the
null hypothesis should be rejected.
null hypothesis should not be rejected.
alternative hypothesis should be rejected.
alternative hypothesis should not be rejected.
alternative hypothesis should be accepted.
None of the these alternatives is correct.
Exhibit D
The result of a recent poll on the preference of shoppers regarding two products
are shown below.
Refer to Exhibit D. The point estimate for the difference between the two
population proportions in favor of this product is
52
100
0.044
0.0225
0.02
0.01
Exhibit D
The result of a recent poll on the preference of shoppers regarding two products
are shown below.
52
100
0.044
0.0225
0.02
0.01
Exhibit D
The result of a recent poll on the preference of shoppers regarding two products
are shown below.
Refer to Exhibit D. At 95% confidence, the margin of error is
52
100
0.044
0.0225
0.02
0.01
Exhibit D
The result of a recent poll on the preference of shoppers regarding two products
are shown below.
Refer to Exhibit D. The 95% confidence interval estimate for the difference
between the populations favoring the products is
–0.024 to 0.064
0.6 to 0.7
0.06 to 0.6
0.024 to 0.7
0.02 to 0.03
0.2 to 0.3
Exhibit E
Professor Yang is interested in determining the proportion of students at
National ChungShing University that watch more than 10 hours of television
each week. He randomly surveyed 240 students, and found that 150 of the
students surveyed watch more than 10 hours of television weekly.
Refer to Exhibit E. Develop a 95% confidence interval to estimate the true
proportion of students who watch more than 10 hours of television each
week. The confidence interval is
.533 to .717
.538 to .712
.551 to .739
.552 to .698
.563 to .724
.573 to .711
Exhibit E
Professor Yang is interested in determining the proportion of students at
National ChungShing University that watch more than 10 hours of television
each week. He randomly surveyed 240 students, and found that 150 of the
students surveyed watch more than 10 hours of television weekly.
Refer to Exhibit E. How many additional samples would Professor York
have to take to estimate the proportion of all Oxnard University students
who watch more than 10 hours of television each week to within ±3% with
99% reliability?
761
1001
1205
1488
1572
1728
Exhibit F
Refer to Exhibit F. The mean square between treatments(MSTR) equals
1.872
5.86
12
24
34
36
Exhibit F
Refer to Exhibit F. The mean square within treatments (MSE) equals
1.872
5.86
12
24
34
36
Exhibit F
Refer to Exhibit F. The test statistic to test the null hypothesis equals
0.944
1.059
2.142
3.13
19.23
21.42
Exhibit F
Refer to Exhibit F. The null hypothesis is to be tested at the 1% level of
significance. The p-value is
greater than 0.1
between 0.1 to 0.05
between 0.05 to 0.025
between 0.025 to 0.01
between 0.01 to 0.005
less than 0.005
Exhibit F
Refer to Exhibit F. The null hypothesis
should be rejected.
should not be rejected.
should be revised.
could not be made a decision.
could be made when test statistic is found.
None of these alternatives is correct.
Exhibit G
Refer to Exhibit G. Which of the following statement is not true?
The standard error is too high for this model to be of any use.
An approximate 95% confidence interval for Femlab is –4.3 to –0.3
Strong multicollinearity exists between Femlab and Cancer.
The p-value for Femlab will be less than .05.
All of the above
None of the above.
Exhibit G
Refer to Exhibit G. When testing the significance of the slope of the
regression equation at α = .05 one can conclude
the slope is significantly different from zero.
there is insufficient evidence to say the slope is different from zero.
a different alpha is needed to make a conclusion.
no conclusion can be made without first calculating the p-value.
All of the above
None of the above.
Exhibit G
Refer to Exhibit G. Which of the following statements regarding the
relationship between Famlab and Cancer is valid?
A rise in female labor participation rat will cause the cancer rate to
decrease within a state.
This model explains about 10 percent of the variance in state cancer
rates.
At the .05 level of significance, there simply isn’t enough evidence to
say the two variables are related.
If you sister starts working, the cancer rate in your state will decline.
All of the above
None of the above.
Exhibit H
Refer to Exhibit H. The estimated regression equation is
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