Given a randomized block experiment with five groups and eight blocks, complete parts (a) A) How many degrees of freedom are there in determining the among-group variation?
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Given a randomized block experiment with five groups and eight
blocks, complete parts (a)
A)
|
How many degrees of freedom are there in determining the among-group variation?
|
degrees of freedom are there in determining the among-group variation
= (r-1)(c-1)
Where
r= group
c= blocks
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- An airline operates a call center to handle customer questions and complaints. The airline monitors a sample of calls to help ensure that the service being provided is of high quality. Ten random samples of 100 calls each were monitored under normal conditions. The center can be thought of as being in control when these 10 samples were taken. The number of calls in each sample not resulting in a satisfactory resolution for the customer is as follows. 4 5 3 2 3 3 4 7 4 8 (a) What is an estimate of the proportion of calls not resulting in a satisfactory outcome for the customer when the center is in control? (b) Construct the upper and lower limits for a p chart for the manufacturing process, assuming each sample has 100 calls. (Round your answers to four decimal places.) UCL= LCL= (c) With the results of part (b), what conclusion should be made if a sample of 100 has 12 calls not resulting in a satisfactory resolution for the customer? Since p =____ is (within or…An airline operates a call center to handle customer questions and complaints. The airline monitors a sample of calls to help ensure that the service being provided is of high quality. Ten random samples of 100 calls each were monitored under normal conditions. The center can be thought of as being in control when these 10 samples were taken. The number of calls in each sample not resulting in a satisfactory resolution for the customer is as follows. 4 5 3 2 3 3 4 6 4 8 (a) What is an estimate of the proportion of calls not resulting in a satisfactory outcome for the customer when the center is in control? (b) Construct the upper and lower limits for a p chart for the manufacturing process, assuming each sample has 100 calls. (Round your answers to four decimal places.) UCL - LCL = (c) With the results of part (b), what conclusion should be made if a sample of 100 has 13 calls not resulting in a satisfactory resolution for the customer? Since the sample proportion = is --Select- |the…As products come off a large assembly line, they are inspected for quality. They are placed into one of three categories: pass, fail, or need additional inspection. The manager claims that 80% of the products pass the inspection, 5% fail, and 15% need additional inspection. In an effort to increase the passing rate, the machines are recalibrated. After this recalibration, a random sample of 100 products is selected. It is discovered that 85 passed inspection, 2 failed, and 13 needed additional inspection. The manager would like to know if there is convincing evidence that the distribution has changed. What is the value of the chi-square test statistic and P-value? Find the chi-square table here. χ2 = 2.38, P-value is less than 0.0005 χ2 = 2.38, P-value is greater than 0.25 χ2 = 5.10, P-value is less than 0.0005 χ2 = 5.10, P-value is greater than 0.25
- An obedience school for dogs experimented with two methods of training. One method involved rewards (food, praise); the other involved no rewards. The dogs were randomly placed into two independent groups of 11 each. The number of sessions required to train each of 22 dogs follows. With rewards 7 21 29 13 27 8 17 23 15 18 10 No rewards 26 19 24 12 9 28 14 16 25 20 22 Use a 0.01 level of significance to test the hypothesis that the number of sessions was the same for the two groups against the alternate hypothesis that the number of sessions was not the same. (a) State the test used. sign test spearman correlation test rank-sum test runs test answer: rank sum-test (b) Give ?. answer: 0.01 (c) Find the sample test statistic. (Use 2 decimal places.)(d) For the sign test, rank-sum test, and Spearman correlation coefficient test, find the P-value of the sample test statistic. For the runs test of randomness, find the critical values from Table 10 of Appendix II. (Use 4 decimal…The paper "An analysis of Job Sharing, Full-Time, and Part-Time Arrangements" (Amer. Business Review (1989): 34-40) reported on a study of hospital employment from three different groups. Each employee reported a level of satisfaction with his or her work schedule (1=very dissatisfied to 7 =very satisfied), as shown in the accompanying table. Group 1. Job sharers 2. Full-time employees 3. Part-time employees Sample Size Sample mean 24 24 20 6.60 5.37 5.20 (a). What model will you use for modelling this data set? Write down the corresponding model equation. What are numerator and denominator df's for the F test? (b). The test statistic value is F = 6.62. Use a test with significance level .05 to decide whether is plausible that true average satisfaction levels are identical for the three groups.In a large clinical trial, 394,108 children were randomly assigned to two groups. The treatment group consisted of 198,537 children given a vaccine for a certain disease, and 30 of those children developed the disease. The other 195,571 children were given a placebo, and 105 of those children developed the disease. Consider the vaccine treatment group to be the first sample. Complete parts (a) through (d) below.
- When a company , while doing research tries to look at 2 or more treatments simultaneously , the type of experimental design is a. Factorial design b. Randomised Block design c. Completely randomized block design d. Latin square design5. Do it using Minitab software. An experiment was conducted to investigate the effect of temperature and type of furnace on the lifespan of a particular type of spare part being tested. Four types of furnaces and 3 temperature levels were used in the experiment. 24 spare parts were divided randomly, 2 in each treatment combination, and the experimental data were as follows: Furnace T1 T2 T3 T4 227 214 225 260 500 221 259 236 229 Temperature 187 181 232 246 (°C) 550 208 179 198 273 174 198 178 206 600 202 194 213 219 Use the 0.05 level of significance and test the hypothesis that: (a) different temperatures have no effect on the life of the spare part, (b) different types of furnaces have no effect on the life of the spare part, and (c) temperature and type of furnace do not. interact and have no effect on the life of the spare parts.In a large clinical trial, 391,834 children were randomly assigned to two groups. The treatment group consisted of 197,193 children given a vaccine for a certain disease, and 39 of thos children developed the disease. The other 194,641 children were given a placebo, and 149 of those children developed the disease. Consider the vaccine treatment group to be the firs sample. Identify the values of n,, P1, 9,, n2, P2, q2, p, and q. (Type an integer or a decimal rounded to eight decimal places as needed.) q, = 0.99980222 (Type an integer or a decimal rounded to eight decimal places as needed.) n2 = 194641 P2 (Type an integer or a decimal rounded to eight decimal places as needed.) 92 = (Type an integer or a decimal rounded to eight decimal places as needed.) p3= (Type an integer or a decimal rounded to eight decimal places as needed.) (Type an integer or a decimal rounded to eight decimal places as needed.)
- A sporting goods manufacturing company wanted to compare the distance traveled by golf balls produced using four different designs. Nine balls were manufactured with each design and were brought to the local golf course for the club professional to test. The order in which the balls were hit with the same club was randomized to the pro did not know which type of ball was being hit. All 36 balls were hit (assuming the environmental conditions played no role). The resulting distances in yards were recorded and are shown in the following table: Design 1 Design 2 Design 3 Design 4 206.32 217.08 226.77 230.55 207.94 221.43 224.79 227.95 206.19 218.04 229.75 231.84 204.45 224.13 228.51 224.87 209.65 211.82 221.44 229.49 203.81 213.90 223.85 231.10 206.75 221.28 223.97 221.53 205.68 229.43 234.30 235.45 204.49 213.54 219.50 228.35 Write a set of hypotheses to test the mean…According to the National Institute on Alcohol Abuse and Alcoholism (NIAAA), and the National Institutes of Health (NIH), 42% of college students nationwide engage in “binge drinking” behavior, having 5 or more drinks in one occasion during the past two weeks. A college president wonders if the proportion of students enrolled at her college that binge drink is actually different than the national proportion. In a commissioned study, 364 students are selected randomly from a list of all students enrolled at the college. Of these, 136 admitted to having engaged in binge drinking. Calculate the statistic for this sample. Calculate the standard error for this sample. Verify that we can use a normal distribution for this sample. By hand calculate a 90% confidence interval for the proportion of all students at this college that engage in binge drinking. Show all work. Interpret the results of your confidence interval in the context of the…11
