Three different techniques namely medication, exercises and special diet are randomly assigned to (individuals diagnosed with high blood pressure) lower the blood pressure. After four weeks the reduction in each person's blood pressure is recorded. Test at 5% level, whether there is significant difference in mean reduction of blood pressure among the three techniques. Medication 10 12 15 13 Exercise 8 3 2 Diet 12 8 4
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- Every year, all incoming high school freshmen in a large school district take a math placement test. For this year’s test, the district has prepared two possible versions: Version 1 that covers more material than last year’s test and Version 2 test that is similar to last year’s test. The district suspects that the mean score for Version 1 will be less than the mean score for Version 2. To examine this, over the summer the district randomly selects 90 incoming freshmen to come to its offices to take Version 1, and it randomly selects 75 incoming freshmen to come take Version 2. The 90 incoming freshmen taking Version 1 score a mean of 113.0 points with a standard deviation of 16.8 . The 75 incoming freshmen taking Version 2 score a mean of 117.0 points with a standard deviation of 18.5 . Assume that the population standard deviations of the test scores from the two versions can be estimated to be the sample standard deviations, since the samples that are…Zachary works as a quality control engineer at Ford Motor Company. One of his job responsibilities is estimating the proportion of defective engines coming off a production line. The production line setting allows for a defective rate of 5%. In a periodical quality checkup, Zachary selected 100 engines that came off the production line. What is the chance Zachary will find more than 10 defective engines? The corresponding Z score is _____The Human Resource Manager at a manufacturing plant noticed that there was a high rate ofabsenteeism, lack of motivation, reduced cooperation and low productivity among theemployees. She suspected that the employees’ morale had decreased. The Human ResourceManager decided to select the first 100 employees who arrived to work on a certain day and askthem to complete an employee morale survey. Each employee’s level of morale was measuredbetween 0 to 10 inclusive; with 10 indicating the highest level of employee morale. The data wassummarized in Table 1 below.TABLE 1Level of Employee morale Number of Employees0 – 2 83 – 4 265-6 407-8 189-10 8a) Identify the population for this investigation. b) Identify the sample for this investigation. c) Identify the sampling method that was used to select the sample. Give one advantage andone disadvantage of using this sampling method. d) For each of the following charts: stem-and-leaf diagram, box-and-whisker diagram,bar chart and histogram, indicate…
- A large warehouse is filled with 5,238 tungsten light bulbs. An electronics engineer wants to estimate the mean lifespan of these bulbs. To this end, 18 of the bulbs were randomly selected and the lifespan was measured; the mean lifespan of the 18 bulbs was 2,550 hours. What is the statistic of interest?A biomedical manufacturing process has only a 12.5% chance of producing a commercially successful result. The mean number of processes to be performed before a commercially successful one isThe inflammation caused by osteoarthritis of the knee can be very painful and can inhibit movement. Leech saliva contains anti-inflammatory substances. To study the therapeutic effect of attaching four to six leeches to the knee for about 70 minutes, 51 volunteers were randomly assigned to receive either the leech treatment or a topical gel, diclofenac. This summary table gives the results of a pretreatment measure of the amount of pain reported by the two groups, before beginning therapy. A higher score means more pain. The researchers hoped that the randomization would result in two comparable groups with respect to this variable. You may assume that the pain scores are approximately normal for each group. Leech (Group 1): x⎯⎯⎯x¯ = 52.4, ss = 13.9, nn = 24Topical gel (Group 2): x⎯⎯⎯x¯ = 52, ss = 16.6, nn = 27 Unless otherwise stated, give your answers to three decimal places. Construct a 99% confidence interval for the difference in average pain score. Give your answers to two…
- An insurance company crashed four cars of the same model at 5 miles per hour. The costs of repair for each of the four crashes were $400, $427, $459, and $204 . Compute the mean, median, and mode cost of repair.A medical researcher wishes to try three different techniques to lower cholesterol levels of patients with highcholesterol levels. The subjects are randomly selected and assigned to one of three groups. Group 1 is givenmedication, Group 2 is given an exercise program, and Group 3 is assigned a diet program. At the end of sixweeks, each subject's cholesterol level is recorded. Use the printout from Minitab to make a decision andconcluesion about the mean cholesterol levels found in the groups after the different techniquess were applied.Use΅= 0.05. Group 1 9, 12, 11, 15, 13, 8 Group 2 8, 3, 2, 5, 4, 0 Group 3 6, 12, 4, 4, 9, 8 A) Hypothesis Ho : Ha : B) Decision to reject or fail to reject Ho based on the Minitab printout. C) Conclusion about the problem statement as it pertains to cholesterol and the groups.The state of California is working very hard to ensure that all elementary age students whose native language is not English become proficient in English by the sixth grade. Their progress is monitored each year using the California English Language Development test. The results for two school districts in southern California for the 2003 school year are given in the accompanying table.7 Do the data indicate a significant difference in the 2003 proportions of students who are fluent in English for the two districts? Use α = .01.