.The EPA claims that fluoride in children’s drinking water should be

1.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. 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.

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Therapy 1 Therapy 2 Number of patients 39 47 Eliminated Hepatitis 20 13 C infection

Find the z test statistic. Give your answer with two decimals, e.g., 9.87 . (Points : 0.5) 3. 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)

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)

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 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)

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

Laser Surgery Improvement 15 10 Treatment No Improvement 50 25

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 6 6 5 4 8 6 6 3 6 7 3 2 6 5 5 5 8 4 3

Determine the value of the F test statistic. Give your answer to two decimals, e.g., 12.34 . (Points : 0.5)

9. Assuming differences exist among the population means, the Bonferroni test can determine which population means differ from the others. (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 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)