Exam 11: Analysis of Variance

Use the following technology display from a Two-Way ANOVA to answer the next questions. Wildlife biologists studying beaver habitats measured the number of beaver colonies per square mile identified at two randomly selected wetland habitats, under three densities of tree growth (sparse, average, or dense growth). Use a .05 significance level. -For the density effect, state a conclusion about the null hypothesis.

Determine whether the following statement is true or false. -If there is only one observation per cell in a Two-Way ANOVA, and it can be assumed there is an interaction between factors, then we can proceed to interpret the results of the row and column effects.

Use the following sample data to answer the next questions. 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. -Identify the .

Use the following sample data to answer the next questions. 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 -Identify the null hypothesis.

Use the following sample data to answer the next questions. 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 -Identify the

Determine whether the following statement is true or false. -Assuming differences exist among the population means, the Bonferroni test can determine which population means differ from the others.

Use the following sample data to answer the next questions. 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 -Determine the value of the F test statistic.

Determine whether the following statement is true or false. -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 II error.

Use the following technology display from a Two-Way ANOVA to answer the next questions. Wildlife biologists studying beaver habitats measured the number of beaver colonies per square mile identified at two randomly selected wetland habitats, under three densities of tree growth (sparse, average, or dense growth). Use a .05 significance level. -For the site effect, state a conclusion about the null hypothesis.

Determine whether the following statement is true or false. -Another way to conduct a Two-Way ANOVA is to conduct two separate One-Way ANOVAs.

Use the following sample data to answer the next questions. 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. -State a final conclusion that addresses the original claim.

Use the following sample data to answer the next questions. 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 -State a conclusion about the null hypothesis.

Determine whether the following statement is true or false. -For a Two-Way ANOVA, assuming there is not an interaction, we can continue to interpret the results of the row and column effects.

Use the following technology display from a Two-Way ANOVA to answer the next questions. 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. -State a final conclusion about the overall study.

Determine whether the following statement is true or false. -One method to reduce the effect of extraneous factors is to design the experiment so that it has a completely randomized design.

Use the following technology display from a Two-Way ANOVA to answer the next questions. 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. -For the habitat effect, identify the null hypothesis, the value of the F test statistic, and the

Determine whether the following statement is true or false. -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.

Use the following sample data to answer the next questions. 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 -State a final conclusion that addresses the original claim.

Determine whether the following statement is true or false. -Assuming that differences exist among the population means, the One-Way ANOVA can determine which population mean(s) differ from the others.

Use the following technology display from a Two-Way ANOVA to answer the next questions. Wildlife biologists studying beaver habitats measured the number of beaver colonies per square mile identified at two randomly selected wetland habitats, under three densities of tree growth (sparse, average, or dense growth). Use a .05 significance level. -For the interaction effect, identify the null hypothesis, the value of the F test statistic, and the .