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MHA610 | Week 6 Quiz Complete Solution
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 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.

1. 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)

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)

1. 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)

1. 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)

1. 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)

1. 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)

1. 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

 ANOVA Source of Variation SS df MS F P-value 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

 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

1. 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

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• MHA610 | Week 6 Quiz Complete Solution
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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 t

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