Four mixtures (1, 2, 3, and 4) were used to produce a bonding material. The strength of bonding was measured for each mixture with four replicates shown below. Which of the following statements is not true. (Hint :Use the Fisher LSD method with a=0.05 to make comparisons between pairs of means)
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- An experiment was conducted to test the effects of five different diets (A-E) in turkeys. Six turkeys were randomly assigned to each of the five different diet groups (Diet) and were fed for a fixed period of time. The weight gained in pounds was recorded for each turkey and the data was entered into R for analysis. R produced the following output. Between Within Total a. له له له م په b. C. d. e. Sum-of-squares (SS) Degrees of freedom Mean square (MS) ?? (b) 103.04 ???.?? (a) 110.9249 25 29 ????.??? (c) ????.??? (d) Find the sum-of-squares for within-group variability. Find the degrees of freedom for between-group variability. Find the mean-square of the between-group variability. F-statistic ??.????? p-value ????.??? (e) Find the mean-square of the within-group variability. Find the p-value for the ANOVA F-test. What is the conclusion? Are the means of the five diets significantly different?Given the number of rows = 5, dfWithin = 24, and alpha is set at .05, what is q when calculating Tukey's HSD for a row effect?Harold is going to California over the Easter weekend and takes part in the Rock Festival of the people. He is an optimistic man and intends to sleep in a tent. He is worried about leaks in the tent, but to his great satisfaction, he came across an advertisement for material that the manufacturers claim reduces leakage in tents by spraying it on the outer layer of the tent. He was not convinced but found a study where the material was examined. In the study, leakage in five tents was measured. First, it was measured how much it leaked without the material too much and then how much it leaked after the material was sprayed on the outer layer in each tent. High numbers mean high leakage and low numbers low leakage. It can be assumed that measured leaks follow a normal distribution. The results can be seen below: Harold is also a big fan of R and he performed the following calculations in R: > x<-c(8.6,9.2,7.8,7.2,8.9) > y<-c(6.2,7.2,7.6,8.2,6.1) > mean(x)[1] 8.34 >…
- A pharmacist bought a specific material from two different Providers. To compare the level of impurities present in the purchases made the two suppliers, the pharmacist measured the percentage of impurities present in each of the groups, obtaining the following: Supplier A: 1.8 2.5 1.5 1.2 1.0 Supplier B: 1.6 2.5 1.2 2.3 1.5 Which of the purchases has greater uniformity in impurities? Justify properly.A manufacturing company employs two inspecting devices to sample a fraction of their output for quality control purposes. The first inspection monitor is able to accurately detect 99.3% of the defective items it receives, whereas the second is able to do so in 99.7% of the cases. Assume that four defective items are produced and sent out for inspection. Let X and Y denote the number of items that will be identified as defective by inspecting devices 1 and 2, respectively. Determine the following. 1) fxy(x,y) 2) fx (x)3) fY|2 4) E(x)Show all workA psychologist would like to examine the effects of different testing methods on the final performance of college students. One group has regular quizzes, one group has three large exams, and the third group only has a final exam. At the end of the course, the psychologist interviews each student to get a measure of the student's overall knowledge of the material. Do these data indicate any significant differences among the three methods? Do the following computations: a. Compute and report the F Ratio at a a = .05 b. Compute and report the Tukey's HSD to determine exactly which methods are significantly different. Quizzes 4 6 3 7 T = 20 SS = 10 Exams 1 4 5 2 T = 12 SS= 10 Final Only 0 2 0 2 T=4 SS=4 G=36 EX² = 164 ✩
- In recent years the irradiation of food to reduce bacteria and preserve the food longer has become more common. A company that performs this service has developed four different methods of irradiating food. To determine which is best, it conducts an experiment where different foods are irradiated and the bacteria count is measured. As part of the experiment the following foods are irradiated: meat, poultry, veal, tuna, and yogurt. The results are shown below. True or False: It can be inferred at the 5% significance level that at least two of the treatments differ.Please review Section 11.1. Are you an impulse shopper? A survey of 500 grocery shoppers indicated that 16% of males and 42% of females make an impulse purchase every time they shop. Assume that the survey consisted of 250 males and 250 females. Let group 1 be the males and let group 2 be the females.alpha = 0.05H0: pie = pieH1: pie not = pie Calculate the test statistic: (Round to three decimal places as needed.)Determine the critical value: (Round to three decimal places as needed.)State the Conclusion:A group of 5 cancer patients were subjected to drug treatment. The observations before and after drug treatment are given below. Apply sandler's A-test to see the effect of drug on cancer patients. Before Drug Treatment: 10 8 11 17 20 After Drug Treatment : 10 7 9 18 15
- For a population with m = 40 and s = 8: a. Find the z-score for each of the following X values. (Note: You should be able to find these values using the definition of a z-score. You should not need to use a formula or do any serious calculations.) X=44 X=48 X=56 X=38 X=34 X=32Given H = 9.68 and Xcv = 5.68, you will statistics a. support O b. fail to accept c. reject d. fail to reject the alternative hypothesis.A laundry detergent company wants to determine if a new formula of detergent, A, cleans better than the original formula, B. Researchers randomly assign 500 pieces of similarly soiled clothes to the two detergents, putting 250 pieces in each group. After washing the clothes, independent reviewers determine the cleanliness of the clothes on a scale of 1–10, with 10 being the cleanest. The researchers calculate the proportion of clothes in each group that receive a rating of 7 or higher. For detergent A, 228 pieces of clothing received a 7 or higher. For detergent B, 210 pieces of clothing received a rating of 7 or higher. Based on the 90% confidence interval, (0.02, 0.12), is there convincing evidence that the new formula of laundry detergent is better? A) There is convincing evidence because the interval is entirely above 0. B) There is not convincing evidence because the sample sizes are too small. C) There is convincing evidence because the number of clothing items receiving a…