Bio statistics quiz

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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

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 habitat effect? (Points : 0.5)

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One method to reduce the effect of extraneous factors is to design the experiment so that it has a convenience sampling design. (Points : 1)

      [removed] True 
      
[removed] False 

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 χ2 test statistic. Give your answer to two decimals, e.g., 12.34 . (Points : 0.5)

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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 χ2 test statistic. Give your answer to two decimals, e.g., 12.34 . (Points : 0.5)

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Using a .01 significance level, test the claim that the proportions of people who favor/oppose pro-choice on the abortion issue are the same for the males and females.
 
Gender

 

Male

Female

Favor Pro-Choice

65

120

Oppose Pro-Choice

42

38


 
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)

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Given: There is a significant linear correlation between the numerical abundance of floating insects in a certain river and the number of insect-eating fish in the river. Identify the choice that contains a conclusion with a common correlation error. (Points : 1)

      [removed] Conclusion: r results in a value close to 1
      [removed] Conclusion: an increase in floating insects is related to an increase in insect-eating fish
      [removed] Conclusion: r results in a value close to -1
      [removed] Conclusion: an decrease in floating insects causes a decrease in insect-eating fish

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.

Find the t test statistic. Give your answer with two decimals, e.g., 9.87 (Points : 0.5)

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Medical researchers reviewing the risk of death for elderly patients taking dementia drugs 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.

 

 

Dementia Drugs

Placebo

Number of patients

500

450

Total deaths

23

12


 
Find the z test statistic. Give your answer with two decimals, e.g., 9.87 . (Points : 0.5)

 

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