1. The standard deviation of the diameter at breast height, or DBH, of the slash pine tree is less than one inch. Identify the Type I error. (Points : 1)        Fail to support the claim σ < 1 when σ < 1 is true.        Support the claim  μ < 1 when μ = 1 is true.        Support the claim σ < 1 when σ = 1 is true.       Fail to support the claim μ < 1 when μ < 1 is true. 1a. The EPA claims that fluoride in children's drinking water should be at a mean level of less than 1.2 ppm, or parts per million, to reduce the number of dental cavities. Identify the Type I error. (Points : 1)        Fail to support the claim σ < 1.2 when σ < 1.2 is true.        Support the claim μ < 1.2 when μ = 1.2 is true.        Support the claim σ < 1.2 when σ = 1.2 is true.        Fail to support the claim μ < 1.2 when μ < 1.2 is true. 2. Biologists are investigating if their efforts to prevent erosion on the bank of a stream have been statistically significant. For this stream, a narrow channel width is a good indicator that erosion is not occurring. Test the claim that the mean width of ten locations within the stream is greater than 3.7 meters. Assume that a simple random sample has been taken, the population standard deviation is not known, and the population is normally distributed. Use the following sample data: 3.3 3.3 3.5 4.9 3.5 4.1 4.1 5 7.3 6.2 What is the P-value associated with your test statistic? Report your answer with three decimals, e.g., .987 (Points : 1) 2a. Medical researchers studying two therapies for treating patients infected with Hepatitis C found the following data. Assume a .05 significance level for testing the claim that the proportions are not equal. Also, assume the two simple random samples are independent and that the conditions np ≥ 5 and nq ≥ 5 are satisfied.   Therapy 1 Therapy 2 Number of patients 39 47 Eliminated Hepatitis 20 13 C infection   Construct a 95% confidence interval estimate of the odds ratio of the odds for having Hepatitis C after Therapy 1 to the odds for having Hepatitis C after Therapy 2. Give your answer with two decimals, e.g., (12.34,56.78) (Points : 0.5) 3. Researchers studying sleep loss followed the length of sleep, in hours, of 10 individuals with insomnia before and after cognitive behavioral therapy (CBT). Assume a .05 significance level to test the claim that there is a difference between the length of sleep of individuals before and after CBT. Also, assume the data consist of matched pairs, the samples are simple random samples, and the pairs of values are from a population having a distribution that is approximately normal.   Individual 1 2 3 4 5 6 7 8 9 10 Before 6 5 4 5 3 4 5 3 4 2 CBT After 8 8 7 6 7 6 6 5 7 5 CBT   Construct a 95% confidence interval estimate of the mean difference between the lengths of sleep. Give your answer with two decimals, e.g., (12.34,56.78) (Points : 0.5) 3a. Scientists, researching large woody debris (LWD), surveyed the number of LWD ...

1. 1. The standard deviation of the diameter at breast height, or
DBH, of the slash pine tree is less than one inch. Identify the
Type I error. (Points : 1)
Fail to support the claim σ < 1 when σ < 1 is true.
Support the claim μ < 1 when μ = 1 is true.
Support the claim σ < 1 when σ = 1 is true. Fail to
support the claim μ < 1 when μ < 1 is true.
1a. The EPA claims that fluoride in children's drinking water
should be at a mean level of less than 1.2 ppm, or parts per
million, to reduce the number of dental cavities. Identify the
Type I error. (Points : 1)
Fail to support the claim σ < 1.2 when σ < 1.2 is true.
Support the claim μ < 1.2 when μ = 1.2 is true.
Support the claim σ < 1.2 when σ = 1.2 is true.
Fail to support the claim μ < 1.2 when μ < 1.2 is true.
2. Biologists are investigating if their efforts to prevent erosion
on the bank of a stream have been statistically significant. For
this stream, a narrow channel width is a good indicator that
erosion is not occurring. Test the claim that the mean width of
ten locations within the stream is greater than 3.7 meters.
Assume that a simple random sample has been taken, the
population standard deviation is not known, and the population
is normally distributed. Use the following sample data:
3.3 3.3 3.5 4.9 3.5 4.1 4.1 5 7.3 6.2
What is the P-value associated with your test statistic? Report
your answer with three decimals, e.g., .987 (Points : 1)
2a. Medical researchers studying two therapies for treating
patients infected with Hepatitis C found the following data.
Assume a .05 significance level for testing the claim that the
proportions are not equal. Also, assume the two simple random
samples are independent and that the conditions np ≥ 5 and nq ≥

2. 5 are satisfied.
Therapy 1
Therapy 2
Number of patients
39
47
Eliminated Hepatitis
20
13
C infection
Construct a 95% confidence interval estimate of the odds ratio
of the odds for having Hepatitis C after Therapy 1 to the odds
for having Hepatitis C after Therapy 2. Give your answer with
two decimals, e.g., (12.34,56.78) (Points : 0.5)
3. Researchers studying sleep loss followed the length of sleep,
in hours, of 10 individuals with insomnia before and after
cognitive behavioral therapy (CBT). Assume a .05 significance
level to test the claim that there is a difference between the
length of sleep of individuals before and after CBT. Also,
assume the data consist of matched pairs, the samples are
simple random samples, and the pairs of values are from a
population having a distribution that is approximately normal.
Individual
1
2

3. 3
4
5
6
7
8
9
10
Before
6
5
4
5
3
4
5
3
4
2
CBT
After
8
8
7
6
7

4. 6
6
5
7
5
CBT
Construct a 95% confidence interval estimate of the mean
difference between the lengths of sleep. Give your answer with
two decimals, e.g., (12.34,56.78) (Points : 0.5)
3a. Scientists, researching large woody debris (LWD), surveyed
the number of LWD pieces from aerial photos taken annually
for the past 35 years at two different sites. Over the 35 years of
photos examined, the first site had a mean number of LWD
pieces per hectare per year (LWD/ha/yr) of 3.7 pieces with a
standard deviation of 1.9. The second site had a mean number of
LWD/ha/yr of 4.3 with a standard deviation of 2.4. Assume a
.05 significance level for testing the claim that the mean
LWD/ha at the first site had less than the mean LWD/ha/yr at
the second site. Also, assume the two samples are independent
simple random samples selected from normally distributed
populations, but do not assume that the population standard
deviations are equal.

5. Construct a 90% confidence interval for the difference between
the two means. Give your answer with two decimals, e.g.,
(12.34,56.78) (Points : 0.5)
4. The paired data consist of the cost of regionally advertising
(in thousands of dollars) a certain pharmaceutical drug and the
number of new prescriptions written (in thousands).
Cost
9
2
3
4
2
5
9
10
Number
85
52
55
68
67
86
83
73
Find the value of the linear correlation coefficient r. Give your
answer to three decimals, e.g., .987. (Points : 0.5)
4a. The paired data consist of the cost of regionally advertising
(in thousands of dollars) a certain pharmaceutical drug and the

6. number of new prescriptions written (in thousands).
Cost
9
2
3
4
2
5
9
10
Number
85
52
55
68
67
86
83
73
Find the predicted value of the number of new prescriptions
written if $6000 is spent in regional advertising. Give your
answer as an integer. (Points : 0.5)
5. Use a .05 significance level and the observed frequencies of
70 Neonatal deaths to test the claim that number of neonatal
deaths on each day of the week is equally likely.
Mon
Tues
Wed
Thurs

7. Fri
Sat
Sun
10
9
5
8
15
12
11
Determine the value of the χ2 test statistic. Give your answer to
two decimals, e.g., 12.34 (Points : 0.5)
5a. Use a .05 significance level and the observed frequencies of
144 drowning at the beaches of a randomly selected coastal
state to test the claim that the number of drowning for each
month is equally likely.
Jan
Feb
Mar
Apr
May
June
July
Aug
Sept
Oct
Nov
Dec
1
3
2
7

8. 14
20
37
33
16
6
2
3
Determine the value of the χ2 test statistic. Give your answer to
two decimals, e.g., 12.34 . (Points : 0.5)
6. Using a .01 significance level, test the claim that the
proportions of fear/do not fear responses are the same for male
and female dental patients.
Gender
Male
Female
Fear Dentistry
48
70
Do Not Fear Dentistry
21
32
Do you reject the null hypothesis, at the .01 significance level?
Enter Y for yes (reject), N for no (fail to reject). (Points : 0.5)
6a. Using a .01 significance level, test the claim that the
proportions of fear/do not fear responses are the same for male
and female dental patients.
Gender

9. Male
Female
Fear Dentistry
48
70
Do Not Fear Dentistry
21
32
Determine the value of the χ2 test statistic. Give your answer to
three decimals, e.g., 12.345 . (Points : 0.5)
7. The table represents results from an experiment with patients
afflicted in both eyes with glaucoma. Each patient was treated
in one eye with laser surgery and in the other eye was treated
with eye drops. Using a .05 significance level, apply McNemar's
test to test the following claim: The proportion of patients with
no improvement on the laser treated eye and an improvement on
the drops treated eye is the same as the proportion of patients
with an improvement on the laser treated eye and no
improvement on the drops treated eye.
Eye Drop Treatment
Improvement
No Improvement

10. Laser Surgery
Improvement
15
10
Treatment
No Improvement
50
25
Determine the value of the χ2 test statistic. Give your answer to
two decimals, e.g., 12.34 . (Points : 0.5)
7a. The table represents results from an experiment with
patients afflicted with eczema on both arms. Each patient was
treated with an immune modulator cream on one arm and a
topical steroid cream on the other arm. Using a .05 significance
level, apply McNemar's test to test the following claim: The
proportion of patients with no cure on the immune modulator
treated arm and a cure on the topical steroid treated arm is the
same as the proportion of patients with a cure on the immune
modulator treated arm and no cure on the topical steroid treated
arm.
Immune Modulator Cream
Cure
No Cure

11. Topical Steroid
Cure
25
11
Cream
No Cure
42
22
Do you reject the null hypothesis, at the .05 significance level?
Enter Y for yes (reject), N for no (fail to reject). (Points : 0.5)
8.For a study on Type 1 diabetes, medical graduate students
subdivided the United States into four study regions (Northeast,
Southeast, Southwest, and Northwest). The students randomly
selected seven patients per region and recorded the number of
times during a randomly selected month that each patient used
insulin shots to regulate blood sugar levels. Use One-Way
ANOVA at a .05 significance level to test the claim that the
means from the different regions are not the same.
Mean number of times patients used insulin shots to regulate
blood sugar levels
Northeast
Southeast
Southwest
Northwest
4
6
4
4
3
5
5
4
3

12. 6
6
5
4
8
6
6
3
6
7
3
2
6
5
5
5
8
4
3

13. Do you reject the null hypothesis, at the .05 significance level?
Enter Y for yes (reject), N for no (fail to reject). (Points : 0.5
8a. Geneticists studying carriers of genetic diseases followed
subjects subdivided by race. Researchers randomly selected
seven patients per race who had been identified as carrying a
certain gene for a genetic disease; these patients were followed
to determine the number of their siblings who also carried the
gene for the genetic disease. Use a One-Way ANOVA at a .05
significance level to test the claim that the means from the
different races are not all the same.
Caucasian
African-American
Other
2
0
0
3
0
1
3
1
2
3
2
2
4
2
2
5

14. 2
3
5
4
4
Determine the value of the F test statistic. Give your answer to
two decimals, e.g., 12.34 . (Points : 0.5)
9. The reason we cannot use multiple t-tests to claim that four
populations have the same mean is that we increase the
likelihood of a type I error. (Points : 1)
True
False
9a.
If there is only one observation per cell in a Two-Way ANOVA,
and it can be assumed there is not an interaction between
factors, then we can proceed to interpret the results of the row
and column effects. (Points : 1)
True
False
10.Use the following technology display from a Two-Way
ANOVA to answer this question. Biologists studying habitat use
in Lepidopteran moths measured the number of savannah moths
found at three randomly selected prairie sites with two potential
habitat interferences (expansion of row crops and grazing). Use
a .05 significance level.
Source
Df
SS
MS
F

15. P
Site
2
.1905
.0952
.0381
.9627
Habitat
1
304.0238
304.0238
121.6095
.0000
Site*Habitat
2
.1905
.0952
.0381
.9627
What is the value of the F test statistic for the site effect?
(Points : 0.5)
10a. Use the following technology display from a Two-Way
ANOVA to answer this question. Biologists studying habitat use
in Lepidopteran moths measured the number of savannah moths
found at three randomly selected prairie sites with two potential
habitat interferences (expansion of row crops and grazing). Use
a .05 significance level.
Source
Df
SS
MS
F
P

16. Site
2
.1905
.0952
.0381
.9627
Habitat
1
304.0238
304.0238
121.6095
.0000
Site*Habitat
2
.1905
.0952
.0381
.9627
Do you reject the null hypothesis about the site effect, at the .05
significance level? Enter Y for yes (reject), N for no (fail to
reject). (Points : 0.5)