Give accurate answers....
13. The following data are from a completely randomized design. Treatment A Treatment B Treatment C 32 44 33 30 43 36 30 44 35 26 46 36 32 48 40 Sample mean 30 45 36 Sample variance 6.00 4.00 6.50 a. At the a - .05 level of significance, can we reject the null hypothesis that the means of the three treatments are equal? b. Use Fisher's LSD procedure to test whether there is a significant difference between the means for treatments, A and B, treatments A and C. and treatments B and C. Use or = .05.Identical twins come from a single egg that split into two embryos, and fraternal twins are from separate fertilized eggs. Also, identical twins must be of the same sex and the sexes are equally likely, and sexes of fraternal twins are equally likely. If a pregnant woman is told that she will give birth to fraternal twins, what is the probability that she will have one child of each sex? Use the data table below to find the probability. Sexes of Twins boy/boy boy/girl girl/boy girl/girl Identical Twins 3 0 0 3 Fraternal Twins 8 10 10 8Case Recently, interest has been growing around the world in good wine. But navigating the world of wines is not easy. There are hundreds of types of grapes, thousands of wineries, some very small and some huge, and there are the vintage years-some excellent in some regions, and some not remarkable. The wine making industry has been heavily researched. Several agencies as well as newspapers, magazines, and websites rate wines, either on a five-star system or on a 0 to 100 point scale, giving a rating for a particular wine made from a given grape at a given winery, located at a given wine-making region in a particular year. Often wines are compared to see which one the public and wine experts like best. Often grapes themselves are rated in wine tests. The following are four of the most important wine grapes rated on a scale of 0 to a 100 for the wines these grapes produce. Chardonnay Merlot Chenin Blanc Cabemet Sauvignon 89 91 81 92 88 88 81 89 89 99 81 89 78 90 82 91 80 91 81 92 86 81 78 90 87 81 79 91 88 81 80 88 93 81 83 91 89 82 81 88 97 81 88 88 85 86 The above data are independent random samples of wine ratings in the four groups. Determine whether the average population ratings are equal for all groups, or whether there is statistical evidence for differences due to the kind of grape used. Include your output with your submission, and use the output to answer the following questions: Provide a full analysis of with your findings and your conclusions. Include rejection rules and statistical conclusions, Use a level of significance of .05. What are your findings (English conclusion)
