1. Suppose that we have grown one bacterium in broth culture at three different temperatures. We have 18 flasks in all. Growth was measured by optical density (O.D.). The researcher wants to compare the mean O.D. for the three groups.

1. Using significance level 0.05, test for the temperature effect on growth. The researcher assumed that the data are normal. Summarize the results in an ANOVA table. What can you conclude on the mean growth regarding the different levels of temperatures? G23.3ive the p-value for the F test.
2. Calculate the power of the F test at significance level 0.05
3. Using significance level 0.05, compare the mean growth for (temperatures 35 and 25) with the mean growth for temperature 30, using Scheffe’s multiple contrasts test.
4. The researcher next wants to use the Kruskal-Wallis Test to compare the three O.D. groups at alpha=0.05. Do the K-W test. What can you conclude? Give the p-value for the test. Do your findings differ from part (a) above? Discuss.

(3) Marks et al conducted a study to determine the effects of rapid weight loss on contraction of the gallbladder and to evaluate the effects of ursodiol and ibuprofen on saturation, nucleation and growth, and contraction. Subjects were obese patients randomly assigned to receive ursodiol, ibuprofen, or placebo. Among the data collected were the following cholesterol saturation index values (CSI) and nucleation times (NT) in days of 9 placebo-treated subject at the end of six weeks.

CSI : 1.20 1.42 1.18 0.95 1.05 1.00 1.39 1.31 0.80

NT : 8 6 14 21 21 18 6 10 24

1. Give the estimated regression line for predicting the response variable cholesterol saturation index values (CSI) from nucleation times (NT) for placebo-treated subjects. Comment on the estimated slope and the estimated intercept.
2. Test at alpha=0.05 whether the true slope equals -0.02 or not. Give the p-value.
3. Construct a 95% interval for the mean cholesterol saturation index value (CSI) from subjects with nucleation times (NT) equal to 10.

(4) In a study on Malaria types for three continents, three random samples were obtained from Asia, Africa, and from South America. There are three types of Malaria (A, B, C). The researcher is interested in testing for an association between Malaria type and continent where Malaria is found. Use the appropriate statistical test at significance level of 0.10. Give the p-value for the test. The following table gives the frequencies obtained in this study.

Price: $25.58

Solution: The downloadable solution consists of 16 pages, 958 words and 45 charts.
Deliverable: Word Document