10 STAT Questions
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) |
[removed] Fail to support the claim σ < 1 when σ < 1 is true.
[removed] Support the claim μ < 1 when μ = 1 is true.
[removed] Support the claim σ < 1 when σ = 1 is true.
[removed] Fail to support the claim μ < 1 when μ < 1 is true.
2. Use the following sample sizes and numbers of successes for this question.
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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)
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4.
Given: There is a linear correlation coefficient very close to 0 between black willow tree cuttings monitored for survival at 7 days and black willow tree cuttings monitored for survival at 14 days. Identify the choice below that contains a conclusion with a common correlation error. (Points : 1) |
[removed] Conclusion: there is not a linear relationship between the survival of black willow tree cuttings at 7 days and the survival of black willow tree cuttings at 14 days
[removed] Conclusion: the survival of black willow tree cuttings at 7 days is not related in any way to the survival of black willow tree cuttings at 14 days
[removed] Conclusion: an increase in the survival of black willow tree cuttings at 7 days is not linearly related to the survival of black willow tree cuttings at 14 days
[removed] Conclusion: a decrease in the survival of black willow tree cuttings at 7 days is not linearly related to a decrease in the survival of black willow tree cuttings at 14 days
5. The paired data consist of the temperatures (in °F ) on randomly chosen days and the amount a certain kind of plant grew (in millimeters).
Temp | 60 | 73 | 42 | 88 | 66 | 77 | 90 | 63 | 55 | 96 |
Growth | 70 | 80 | 40 | 94 | 79 | 86 | 93 | 71 | 70 | 97 |
Find the predicted growth of the plant in mm if the temperature is 75° F . Give your answer with one decimal, e.g., 98.7 . (Points : 0.5)
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6. 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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7.
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.
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8. 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 | 2 | 3 |
5 | 4 | 4 |
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)
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9.
Assuming calculations for a One-Way ANOVA with equal sample sizes, if each data value in one of the samples is increased by a fixed amount, then any change in the F test statistic and the P-value is attributable only to the change in the sample variances. (Points : 1) |
[removed] True
[removed] 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 |
Do you reject the null hypothesis anbout the habitat effect, at the .05 significance level? Enter Y for yes (reject), N for no (fail to reject). (Points : 0.5)
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11 years ago
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