The grams of carbohydrates for cereals made by three popular cereal manufacturers (Kellogg, General Mills, and Post) were collected and a one-way ANOVA was performed, as displayed in the table below. Analysis of Variance results: Where: mfr="General Mills" or mfr="Kellogg" or mfr="Post" Responses: carbo Factors: mfr Response statistics by factor mfr="General Mills" or mfr="Kellogg" or mfr="P Carbohydrates 20 mir General Mills 22 14.727273 no Means Std. Dev. Std. Error + 3.3478041 0.71375423 15 Kellogg Post 23 15.130435 4.4650598 0.93102933 9 13.222222 1.9220938 0.64069792 ANOVA table Source DF mi SS MS F-Stat P-value 2 23.786927 11.893464 0.86217854 0.4283 51 703.52789 13.794664 10 Total 153 727.31481 General Mills Kellogg Manufacturer Post Which manufacturer has the highest median grams of carbohydrates? Post O Cannot be determined. O General Mills Kellogg myhip

ShopEasy Inc. is a specialty e-tailer that operates 87 catalogue websites on the Internet. Larson Brown, Sales Director, feels that the style (colour scheme, graphics, fonts, etc.) of a website may affect its sales. He chooses three levels of design style (neon, old world and sophisticated) and randomly assigns six catalogue websites to each design style. Analysis of Larson's data yielded the following ANOVA table: Source of Variation Between Groups Within Groups Total SS 19.43 2.85 O 3.68 O 19.45 O 3.57 df 68102.33 2 34051.17 Using a = 0.05, the critical F value is MS 29177.67 15 1945.178 97280 17 F

A science project involves testing the effects of different types of music on plant growth.  A sample of 24 newly sprouted bean plants is obtained.  The plants are randomly assigned to each experimental condition (6 per group). The experimental conditions are:  rock music, heavy metal, country, and classical.  The dependent variable is the height of each plant after 2 weeks.    The ANOVA results are summarized as follows: MSB = 10 and SSW =40. Construct a summary table for this study

Define ADL or GLS: Bias versus variance?

A sports researcher is interested in seeing if sports teams from the West Coast, Midwest, and East Coast fare differently in terms of the mean number of championships that they win. Each number below represents an individual observed sports team (X) that the researcher sampled. West Coast                            Midwest                             East Coast 7                                                  2                                      11  3                                                 4                                         9  Mwest =                                 Mmid =                           Meast = nwest =                                  nmid =                            neast = N =                                           GM = Perform a one-way ANOVA to determine if there is a significant difference between regions in terms of the number of championships that teams win. 1. State the Main and Null Hypotheses.  Assume alpha = .05 2. Find the critical F…

Perform an analysis of variance (ANOVA) to determine if the differences in the percentage butterfat of the different breeds of cows is statistically significant. Guernsey Jersey Holstein 4.51 4.59 3.43 5.26 6.67 3.68 5.81 5.39 3.72 5.14 4.38 3.76 4.55 4.99 4.43 4.86 5.49 3.84 4.69 5.43 3.54 4.12 5.02 4.18 5.44 5.16 3.4 4.69 5.15 3.77 5.24 5.76 4.03 4.62 5.34 3.63 4.61 5.11 3.37 5.02 4.75 3.54 4.67 5.07 3.64 4.59 4.42 3.98 4.92 6.13   5.58 4.6   5.6     5.83   1. Compute the treatment sum of squares (SSTr) and the error sum of squares (SSE) and use them to complete the following ANOVA table. (Round your answers to 4 decimal places). Source S.S. df M.S. F Treatment         Error         Total           2. Compute the p-value. (Round your answer to 4 decimal places.)p-value =

A team of epidemiologists at the Mayo Clinic wanted to find whether there is an association between obesity and cardiovascular disease (CVD). They conducted a prospective cohort study following obese and non-obese individuals who were free of CVD at the beginning of study for five years. The investigators were also interested in assessing age as a potential confounder, effect modifier, or both. Use the data below to answer the accompanying questions.     CVD No CVD Total Obese 10 90 100 Not Obese 35 465 500 Total 45 555 600       CVD No CVD Total Obese 36 164 200 Not Obese 25 175 200 Total 61 339 400   1. Compute the appropriate measure of association for those who were less than age 50.  2. Compute the appropriate measure of association for those who were older or equal to age 50.  3. Compute the crude measure of association?  4. List three attributes that age must satisfy before it could…