A sample of 60 obese adults was put on a low carbohydrate diet for a year. The average weight loss was 11 lbs. and the standard deviation was 9 lbs. Calculate a 99% lower tolerance bound covering 95% of the proportion of amount of weight loss. 8.3 O -8.8 O -10.1 O 8.9
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- In a certain suburb of Montréal, residents have expressed their worries about the quality of the air. Of particular concern is the concentration (in μg/m3) of particulate matter smaller than 2.5 μm in size (PM2.5). The environmental standard is a PM2.5 concentration of 15 μg/m3 or less. 9-a) To conduct this study, Thomas installs 25 PM2.5 detectors at different locations in the suburban area. Each detector will provide one reading of PM2.5 concentration at a given time. With 25 detectors, what is the probability that Thomas declares the sample mean of PM2.5 concentrations significantly greater than the environmental standard while the population mean is 16 μg/m3? The population variance is assumed to be known and equal to 9. Use α = 0.01. 9-b) Thomas is interested to purchase a new and cheaper instrument to measure PM2.5 concentration. He is worried, however, that the precision of the new instrument may be lower than that of the current one. To be acceptable, the standard…Kaitlyn measures the upload speed in megabits per second of her home broadband internet connection during peak hours and off-peak hours. The results are provided in the accompanying table. Peak Off-Peak 5.83 5.14 6.05 6.80 7.14 6.98 3.54 5.77 5.45 7.27 5.90 6.62 5.81 6.19 4.82 6.08 6.37 6.59 4.65 5.58 5.30 7.41 6.48 6.26 5.96 6.37 5.79 6.31 6.84 6.55 5.06 4.95 5.61 7.03 6.45 6.77 Examine the results of Kaitlyn's test to determine the statements that compare the medians and interquartile ranges of the data sets to each other in terms of this situation. Select the two correct answers. The median upload speed during peak hours is 5.905 megabits per second, which is less than the median upload speed during off-peak hours, 7.005 megabits per second. The upload speeds during peak hours are slower on average compared to off-peak times. The median upload speed during peak hours is 6.37 megabits per second, which is greater than the median upload speed during…A firm produces bolts whose length x is normally distributed with a Me = 78.3 mm and a SD = 1.4mm. If any bolt longer than 80mm has to be discarded, what proportion of the firm's production will be lost?
- A pharmaceutical company states that there is 500mg of active ingredient in each capsule for one of the medicines they manufacture. However, the FDA believes the company is purposely underfilling the capsule to save money. A sample of 20 capsules is taken and the amount of active ingredient inside is measured. The results are below: 484 460 471 512 494 529 494 485 474 502 503 538 466 495 475 529 518 464 449 489 Part 1: Construct a 95% confidence interval using toolPAK for the amount of active ingredient measured. Use the appropriate distribution, and specify the upper and lower limits of the interval. Part 2: Carefully interpret the 95% confidence interval? What if you did constructed a Confidence Interval Manually? Part 3: Does the 95% confidence interval support the FDA’s claim? Explain. Part 4: Would your answer change if the confidence level was lowered to 75%? Explain.In a certain suburb of Montréal, residents have expressed their worries about the quality of the air. Of particular concern is the concentration (in μg/m3) of particulate matter smaller than 2.5 μm in size (PM2.5). The environmental standard is a PM2.5 concentration of 15 μg/m3 or less. Part A: To conduct this study, Thomas installs 25 PM2.5 detectors at different locations in the suburban area. Each detector will provide one reading of PM2.5 concentration at a given time. With 25 detectors, what is the probability that Thomas declares the sample mean of PM2.5 concentrations significantly greater than the environmental standard while the population means is 16 μg/m3? The population variance is assumed to be known and equal to 9. Use α = 0.01. Part 2: Thomas is interested to purchase a new and cheaper instrument to measure PM2.5 concentration. He is worried, however, that the precision of the new instrument may be lower than that of the current one. To be acceptable, the standard…Samples of emissions from three suppliers are classified for conformance to air-quality specifications. The results from 100 samples are summarized as follows I need a step-by-step solution and an explanation. Thank you!
- Life-saving drug: Penicillin is produced by the Penicillin fungus, which is grown in a broth whose sugar content must be carefully controlled. Several samples of broth were taken on three successive days, and the amount of dissolved sugars, in milligrams per milliliter, was measured on each sample. The results were as follows.An editorial in the New York Times on Sunday June 4, 2011 dicussed the redesigned fuel economy stickers to be required on new cars starting in 2013. Consider a new idsize fuord fusion s model. At $4-a-gallon gas, annual fuel costs would be about $2,200 for 15,000 miles driven... And thats for a car with a rated mileage of 34.9m.p.g. actual highway mileage, as with all vehicles, is lower, in this case about 27m.p.g. Industry clearly needs to do better. Did the times use the rated or the actual mileage in its computation?In recent years, a substantial amount of research has focused on a possible relationship between chemical contamination of various sorts and mental impairment in children. An article reported data on hair-lead concentration for a sample of mentally impaired children for which the cause of impairment was unknown. Sample statistics were n = 41 X Bar = 16 ppm s = 5.36 ppm The paper states that 14.27 ppm is considered the acceptable upper limit of hair-lead concentration. Let μ= the average hair-lead concentration for all mentally impaired children with the cause of impairment unknown. H0: μ = 14.27 versus H1: μ > 14.27 at 0.01 significance level Does the given sample data support the research hypothesis that true average hair concentration for all such mentally impaired children exceeds the acceptable upper limit? Assume normality. 1. reject null hypothesis 2. fail to reject null hypothesis
- Suppose that a population of alligators has a constant death rate and birth rate proportional toP. If, initially there are 110 alligators, and alligators are dying at a rate of12 per year and being born at a rate of 11 per year initially: (a) What is the threshold population? (b) How long will it take until there are only 11 alligators left? Answer asapA municipal solid-waste site for a city must be located at Site A or Site B. After sorting, some of the solid refuse will be transported to an electric powerplant where it will be used as fuel. Data for the hauling of refuse from each site to the power plant are shown in Table P2-4. If the power plant will pay $8.00 per cubic yard of sorted solid waste delivered to the plant, where should the solid-waste site be located? Use the city’s viewpoint and assume that 200,000 cubic yards of refuse will be hauled to the plant for one year only. One site must be selected.Throughout the 20th century, a huge amount of water has been diverted from the Colorado river in the US for irrigation purposes, leaving the remaining river much higher in salinity. This water has oftenbeen saline enough that it is useless to Mexico for irrigation purposes. 49 water samples are collected salinityppm 1 148.51 2 144.91 3 144.96 4 148.55 5 145.8 6 143.84 7 146.78 8 146.11 9 146.41 10 147.21 11 145.62 12 147.75 13 145.94 14 147.1 15 148.7 16 147.31 17 145.72 18 148.81 19 148.49 20 147.55 21 146.9 22 145.08 23 149.26 24 145.14 25 150.99 26 149.62 27 145.91 28 144.24 29 144.91 30 146.94 31 145.88 32 145.67 33 144.4 34 146.31 35 144.75 36 142.9 37 145.6 38 148.33 39 145.19 40 147.68 41 143 42 146.28 43 147.49 44 147.03 45 146.62 46 145.05 47 144.62 48 144.25 49 146.65 (a) To remedy this issue, Congress has passed a law that the salinity of the Colorado river as it passes…