An article reports on an experiment in which each of five groups consisting of six rats was put on a diet with a different carbohydrate. At the conclusion of the experiment, the DNA content of the liver of each ratwas determined (mg/g liver), with the following results:Carbohydrate Xi.Starch2.58Sucrose2.63Fructose2.13Glucose2.41Maltose2.49Assuming also that EEx? = 185.2, does the data indicate that true average DNA content is affected by the type of carbohydrate in the diet? Construct an ANOVA table and use a 0.05 level of significance. (Roundjyour test statistic to two decimal places. Round your other answers to three decimal places.)MeanSquareSum ofSourcedfSquaresTreatmentErrorTotalCalculate the test statistic. (Round your answer to two decimal places.)f =

The tables shows the means of five groups of carbohydrate with each group of six rates, and…

Answered: An article reports on an experiment in…

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section: Chapter Questions

Problem 8CR

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A researcher wanted to determine if using an octane booster would increase gasoline mileage. A random sample of seven cars was selected; the cars were driven for two weeks without the booster and two weeks with the booster.
In a large scale study of energy conservation in single family homes, 20 homes were randomly selected from homes built in a housing development in southern England. Ten of the houses, randomly selected from the 20 houses selected for the study, were constructed with standard levels of insulation (70 mm of roof insulation and 50 mm of insulation in the walls). The other 10 houses were constructed with extra insulation (120 mm of roof insulation and 100 mm of insulation in the walls). Each house was heated with a gas furnace and energy consumption was monitored for eight years. The data shown below give annual gas consumption in MWh for each of the 20 houses. Standard Insulation Extra Insulation 13.8 15.1 17.8 13.9 18.0 15.9 17.3 17.2 16.9 15.2 19.9 13.8 13.6 11.3 17.6 13.2 15.9 18.8 12.3 14.0 Sample means Sample Standard Deviation 16.31 14.84 2.38 2.12
A random sample of 27 maple trees in Vermont were chosen and treated with one of three levels of fertilizer. The trees were located in three different climate zones, Southern Zone, Central Zone, and Northern Zone. The amount of sap produced by each tree in the subsequent season was measured, and the results are presented in the following table. Southern Zone Central Zone Northern Zone Low fertilizer 76.2 80.4 74.2 79.4 87.9 86.9 84.5 85.2 80.1 Medium fertilizer 87.0 95.1 93.0 98.2 94.7 96.2 88.4 90.4 92.2 High fertilizer 84.2 87.5 83.1 90.3 89.9 93.2 81.4 84.7 82.2 WITHOUT PERFORMING THE ANALYSIS OF VARIANCE, use graphs to indicate what you expect the results to show. Explain your interpretation of what the graphs indicate.
1.30 Vitamin supplements. To assess the effectiveness of taking large doses of vitamin C in reducing the duration of the common cold, researchers recruited 400 healthy volunteers from staff and students at a university. A quarter of the patients were assigned a placebo, and the rest were evenly divided between 1g Vitamin C, 3g Vitamin C, or 3g Vitamin C plus additives to be taken at onset of a cold for the following two days. All tablets had identical appearance and packaging. The nurses who handed the prescribed pills to the patients knew which patient received which treatment, but the researchers assessing the patients when they were sick did not. No significant differences were observed in any measure of cold duration or severity between the four groups, and the placebo group had the shortest duration of symptoms. (a) Was this an experiment or an observational study? Why? (b) What are the explanatory and response variables in this study? (c) Were the patients blinded to their…
This obstetrician also wanted to determine the impact that three experimental diets had on the birth weights of pregnant mothers. She was also interested if age had an impact on birth weights. She randomly selected 27 pregnant mothers in the first trimester of whom 9 were 20 to 29 years old, 9 were 30 to 39 years old, and 9 were 40 or older. For each age group, she randomly assigned the mothers to one of three diets. After delivery, she measured the birth weight (in grams) of the babies and obtained the data a) What is the blocking variable?
Pond’s Age-Defying Complex, a cream with alpha-hydroxy acid, advertises that it can reduce wrinkles and improve the skin. In a study published in Archives of Dermatology (June 1996), 33 women over age 40 used a cream with alpha-hydroxy acid for twenty-two weeks. At the end of the study period, 23 of the women exhibited skin improvement (as judged by a dermatologist). A.) What is the parameter being used in this problem?
This obstetrician also wanted to determine the impact that three experimental diets had on the birth weights of pregnant mothers. She was also interested if age had an impact on birth weights. She randomly selected 27 pregnant mothers in the first trimester of whom 9 were 20 to 29 years old, 9 were 30 to 39 years old, and 9 were 40 or older. For each age group, she randomly assigned the mothers to one of three diets. After delivery, she measured the birth weight (in grams) of the babies and obtained the data a)How many treatments are there? b)What type of design is this? How many replications are there within each cell?
Historically, the proportions of all Caucasians in the United States with blood phenotypes A, B, AB, and O are .41, .10, .04, and .45, respectively. To determine whether current population proportions still match these historical values, a random sample of 200 American Caucasians were selected, and their blood phenotypes were recorded. The observed numbers with each phenotype are given in the following table.ABABO89181281Is there sufficient evidence, at the .05 level of significance, to claim that current proportions differ from the historic values?a) State the hypotheses.b) Find the critical value at the 5% significance level (rounded off to four decimals).c) Calculate the value of the Chi-square test (rounded off to two decimals).d) State the conclusion at the 5% significance level
7.18 A wildlife biologist was interested in determining the effect of raising deer in captivity on the size of the deer. She decided to consider three populations: deer raised in the wild, deer raised on large hunting ranches, and deer raised in zoos. She randomly selected eight deer in each of the three environments and weighed the deer at age 1 year. The weights (in pounds) are given in the following table. Environment Weight (in pounds) of Deer Wild 114.7 128.9 111.5 116.4 134.5 126.7 120.6 129.59 Ranch 120.4 91.0 119.6 119.4 150.0 169.7 100.9 76.1 Zoo 103.1 90.7 129.5 75.8 182.5 76.8 87.3 77.3 a. The biologist hypothesized that the weights of deer from captive environments would have a larger level of variability than the weights from deer raised in the wild. Do the data support her contention? b. Are the requisite conditions for the test you used in part (a) satisfied in this situation? Provide plots to support your answer.
A researcher wants to know whether the acidity of rain (pH) near Houston, Texas, is significantly different from that near Chicago, Illinois. He randomly selected 12 rain dates in Texas and 14 rain dates in Illinois and obtains the following data: Texas Illinois 4.69 5.10 4.40 4.69 5.22 4.46 4.22 4.64 4.93 4.65 4.54 4.35 5.22 4.76 4.69 4.40 4.25 5.14 4.75 4.63 4.11 4.71 4.45 4.49 4.36 4.52 Does the evidence suggest that there is a difference in the pH of rain in Chicago and Houston? Use a 5% level of significance.
In this study, the protection of aquatic ecosystems is an important goal of Ville de Montréal. In particular, Thomas wants to see whether the contamination of creeks (ruisseaux in French) by Escherichia coli differs among the months of May, June, July, and August. Therefore, he randomly samples six creeks in different areas. For each creek, he collects water samples from May to August, and measures the amount of E. coli, expressed in colony forming units (CFU) per 100 mL of water. For each combination of a month and a creek, he thus obtains an E. coli contamination value, i.e., 24 observations in total. A preliminary statistical analysis produces the following results. 13-a) Does the mean E. coli contamination differ significantly among the four months? Justify your answer to this question with the result of a statistical test. Use α = 0.05. 13-b) Which pairs of months show significant differences in mean E. coli contamination? Explain your reasoning and justify your answer…
6.34 Barking deer. Microhabitat factors associated with forage and bed sites of barking deer in Hainan Island, China were examined. In this region woods make up 4.8% of the land, cultivated grass plot makes up 14.7%, and deciduous forests make up 39.6%. Of the 426 sites where the deer forage, 4 were categorized as woods, 16 as cultivated grassplot, and 61 as deciduous forests. The table below summarizes these data.39 Woods Cultivated grassplot Deciduous forests Other Total 4 16 61 345 426 (a) Write the hypotheses for testing if barking deer prefer to forage in cer- tain habitats over others. (b) What type of test can we use to answer this research question? (c) Check if the assumptions and conditions required for this test are sat- isfied. (d) Do these data provide convincing evidence that barking deer prefer to forage in certain habitats over others? Conduct an appropriate hypoth- esis test to answer this research question. Photo by Shrikant Rao (http://flic.kr/p/4Xjdkk) CC BY 2.0…

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