
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.
 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 Pvalue associated with your test statistic? Report your answer with three decimals, e.g., .987 . (Points : 1)
 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.
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)
 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)
 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 
Fri 
Sat 
Sun 
10 
9 
5 
8 
15 
12 
11 
Determine the value of the χ^{2} test statistic. Give your answer to two decimals, e.g., 12.34 (Points : 0.5)
 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)
 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 




Laser Surgery 
Improvement 
15 
10 
Treatment 
No Improvement 
50 
25 
Determine the value of the χ^{2} test statistic. Give your answer to two decimals, e.g., 12.34 . (Points : 0.5)
 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 OneWay 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 
6 
6 
5 
4 
8 
6 
6 
3 
6 
7 
3 
2 
6 
5 
5 
5 
8 
4 
3 
ANOVA 

Source of Variation 
SS 
df 
MS 
F 
Pvalue 
F crit 
Between Groups 
35.14286 
3 
11.71429 
9.939394 
0.000191 
3.008787 
Within Groups 
28.28571 
24 
1.178571 

Total 
63.42857 
27 




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

True
False
 Use the following technology display from a TwoWay 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 
Site 
2 
.1905 
.0952 
.0381 
.9627 
Habitat 
1 
304.0238 
304.0238 
121.6095 
.0000 
Site*Habitat 
2 
.1905 
.0952 
.0381 
.9627 
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