Twenty pilots were tested in a flight simulator, and thetime for each to complete a certain corrective action wasmeasured in seconds, with the following results:5.2 5.6 7.6 6.8 4.8 5.7 9.0 6.0 4.9 7.46.5 7.9 6.8 4.3 8.5 3.6 6.1 5.8 6.4 4.0 Use a computer program to find a 95% confidence inter-val for the mean time to take corrective action.
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Twenty pilots were tested in a flight simulator, and the
time for each to complete a certain corrective action was
measured in seconds, with the following results:
5.2 5.6 7.6 6.8 4.8 5.7 9.0 6.0 4.9 7.4
6.5 7.9 6.8 4.3 8.5 3.6 6.1 5.8 6.4 4.0
Use a computer program to find a 95% confidence inter-
val for the mean time to take corrective action.
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- in a certain city, 60% of the heads of household own the house in which they reside, and 80% of the heads of the household have full-time employment when considering what percentage of heads of household both own their home and have a full-time job, a student estimates that 48% of heads of household fit both requirements, stating that (0.60) (0.80)=0.48. is this student correct in his approach?You are the newly appointed assistant administrator at a local hospital, and your first project is to investigate the quality of the patient meals put out by the food-service department. You conducted a 10-day survey by submitting a simple questionnaire to the 400 patients with each meal, asking that they simply check off that the meal was either satisfactory or unsatisfactory. For simplicity in this problem, assume that the response was 1,000 returned questionnaires from the 1,200 meals each day. The results are as follows: Day Number of Unsatisfactory Meals 1-Dec 74 2-Dec 42 3-Dec 64 4-Dec 80 5-Dec 40 6-Dec 50 7-Dec 65 8-Dec 70 9-Dec 40 10-Dec 75 a. Construct an appropriate control chart based on the questionnaire results, using two-sigma control limits. b. What comments can you make about the results of the survey? c. Show breakdown of computation/work.ou are the newly appointed assistant administrator at a local hospital, and your first project is to investigate the quality of the patient meals put out by the food-service department. You conducted a 10-day survey by submitting a simple questionnaire to the 400 patients with each meal, asking that they simply check off that the meal was either satisfactory or unsatisfactory. For simplicity in this problem, assume that the response was 1,000 returned questionnaires from the 1,200 meals each day. The results are as follows: NUMBER OF UNSATISFACTORY MEALS SAMPLE SIZEDecember 1 42 1,000December 2 47 1,000December 3 63 1,000December 4 48 1,000December 5 60 1,000December 6 62 1,000December 7 43 1,000December 8 62 1,000December 9 66 1,000December 10 53 1,000546 10,000 a. Determine thep⎯⎯, Sp, UCL, and LCL based on the questionnaire results, using a confidence interval of 95.5 percent, which is two standard deviations. (Round your answers to 4 decimal places.) b. What comments can you make…
- A producer of pocket calculators purchases the main processor chips in lots of1,000. The producer would like to have a 1 percent rate of defectives but willnormally not refuse a lot unless it has 4 percent or more defectives. Samples of50 are drawn from each lot, and the lot is rejected if more than two defectives arefound.a. What are p0, p1, n, and c for this problem?A study was conducted to compare the costs of supporting a family of four Canadians for a year in different foreign cities. The lifestyle of living in Canada on an annual income of 75,000 $ was the standard against which living in foreign cities was compared. A comparable living standard in Perth Australia and Mexico City was attained for 64,000$. Suppose an executive wants to determine whether there is any difference in the average annual cost of supporting her family of four in the manner to which they are acccustomed in Perth, Mexico City. She uses the data randomly gathered from 11 random families in each city. She found that the sample mean and standard deviation for Perth Australia was 67,381.82 and 2,296.44 respectively. The mean and standard deviation for the sample of Mexico City was 63,436.36$ and 1,568.61 respectively. She used an alpha of 0.01 to test this difference. She assumes the annual cost is normally distributed and the population variances are equal. What does the…Persons having Raynaud's syndrome are apt to suffer a sudden impairment of blood circulation in fingers and toes. In an experiment to study the extent of this impairment, each subject immersed a forefinger in water and the resulting heat output (cal/cm2/min) was measured. For m = 9 subjects with the syndrome, the average heat output was x = 0.61, and for n = 9 nonsufferers, the average output was 2.09. Let ?1 and ?2 denote the true average heat outputs for the sufferers and nonsufferers, respectively. Assume that the two distributions of heat output are normal with ?1 = 0.3 and ?2 = 0.5. (a) Consider testing H0: ?1 − ?2 = −1.0 versus Ha: ?1 − ?2 < −1.0 at level 0.01. Describe in words what Ha says, and then carry out the test. Ha says that the average heat output for sufferers is the same as that of non-sufferers.Ha says that the average heat output for sufferers is less than 1 cal/cm2/min below that of non-sufferers. Ha says that the average heat output for sufferers is more…
- To determine if chocolate milk is as effective as other carbohydrate replacement drinks, nine male cyclistsperformed an intense workout followed by a drink and a rest period. At the end of the rest period, eachcyclist performed an endurance trial in which he exercised until exhausted, and the time to exhaustion wasmeasured. Each cyclist completed the entire regimen on two different days. On one day, the drink providedwas chocolate milk, and on the other day the drink provided was a carbohydrate replacement drink. Thedata is given in the table below. Is there evidence that the mean time to exhaustion is greater after chocolatemilk than after a carbohydrate replacement drink?Compute the following correct to the nearest whole number: a. If 7 out of 10 patients admitted to the hospital are discharged in 3 days or less, how many out of 13,554 recorded admissions exceeded a stay of 3 days? admissions b. A hospital discharged 3,520 patients in January. If 5% developed a hospital-based infection, how many were affected? patients c. A hospital reported 126,778 discharges during the past year. If 35% of these patients were seen in consultation, how many of the discharged patients were seen by a consultant? patientsIn a classic study of infant attachment, Harlow (1959) placed infant monkeys in cages with two artificial surrogate mothers. One “mother” was made from bare wire mesh and contained a baby bottle from which the infants could feed. The other mother was made from soft terry cloth and did not provide any access to food. Harlow observed the infant monkeys and recorded how much time per day was spent with each mother. In atypical day, the infants spent a total of 18 hours clinging to one of the two mothers. If there were no preference between the two, you would expect the time to be divided evenly, with an average of μ=9 hours for each of the mothers. However, the typical monkey spent around 15 hours per day with the terry-cloth mother, indicating a strong preference for the soft, cuddly mother. Suppose a sample of n=9 infant monkeys averaged M=15.3 hours per day with SS=216 with the terry-cloth mother. Is this result sufficient to conclude that the monkeys spent significantly more time with…
- To determine the effectiveness of an oil additive, a testing firm purchased two cars of the same make, year, and model, and drove each a distance of 30,000 miles using the same kind of gasoline, the same kind of oil, the same driver, under the same road conditions. The oil in one engine included the additive, whereas the oil in the other engine did not. At the end of the test, the engines of both cars were dismantled, and it was found that the engine that contained the additive had less wear. The testing firm concluded that the oil additive caused the reduced wear.The trend in home building in recent years has been to emphasize open spaces and great rooms, rather than smaller living rooms and family rooms. A builder of speculative homes in the college community of Oxford, Ohio, had been building such homes, but his homes had been taking many months to sell and had been selling for substantially less than the asking price. In order to determine what types of homes would attract residents of the community, the builder contacted a statistician at a local college. The statistician went to a local real estate agency and obtained the data contained in file OxHome. This data includes the sales price (measured in thousand dollars), square footage, number of rooms, number of bedrooms, and age for each of 60 single-family residences recently sold in the community. Using this data, a regression model was built to predict the sales price of houses in this community. The regression equation from the model is: sales price (thousand dollars) = 19.5 + 0.1079…The trend in home building in recent years has been to emphasize open spaces and great rooms, rather than smaller living rooms and family rooms. A builder of speculative homes in the college community of Oxford, Ohio, had been building such homes, but his homes had been taking many months to sell and had been selling for substantially less than the asking price. In order to determine what types of homes would attract residents of the community, the builder contacted a statistician at a local college. The statistician went to a local real estate agency and obtained the data contained in file OxHome. This data includes the sales price (measured in thousand dollars), square footage, number of rooms, number of bedrooms, and age for each of 60 single-family residences recently sold in the community. Using this data, a regression model was built to predict the sales price of houses in this community. The regression equation from the model is: sales price (thousand dollars) = 19.5 + 0.1079…