1. x = 7.7 μ = 8.1 a = 5 n = 135 2. x= 19.8 S = 4 μ= 18.3 n = 11 3. x = 12.5 S = 3 μ = 10.75 n = 18
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Activity 3: Compute Me!
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- The mean ±1 sd of ln [calcium intake (mg)] among 25females, 12 to 14 years of age, below the poverty level is6.56 ± 0.64. Similarly, the mean ± 1 sd of ln [calcium intake(mg)] among 40 females, 12 to 14 years of age, above thepoverty level is 6.80 ± 0.76.*8.7 Suppose an equal number of 12- to 14-year-old girlsbelow and above the poverty level are recruited to studydifferences in calcium intake. How many girls should berecruited to have an 80% chance of detecting a significantdifference using a two-sided test with α = .05?Given a 95% C.I. = (34.14 mm, 36.02 mm) for a sample of Wooly Bear caterpillar lengths (preceding problem), address the following. Based upon the above information, I am _____ % confident that the 95% C.I. contains the sample mean.How to calculate Samsung’s cost (C(Q)) of producing 1,2,...15
- 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…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…2. Are the strengths of Alloy A more consistent than Alloy B?
- Do states with political parties for republicans have a higher or lower incarceration rate? How can we tell with using Pearson’s R?The mean ±1 sd of ln [calcium intake (mg)] among 25females, 12 to 14 years of age, below the poverty level is6.56 ± 0.64. Similarly, the mean ± 1 sd of ln [calcium intake(mg)] among 40 females, 12 to 14 years of age, above thepoverty level is 6.80 ± 0.76 4-What is the p-value corresponding to your answer toProblem 8.4?The Prevalence per 10,000 population of having health insurance for 1 (Table 5 box s. above) is: The Prevalence per 10,000 population of having health insurance for 2 (Table 5 box w. above) is:
- 7.2. -> Parts for a machine are acceptable within the ’tolerance’ limits of 20.5 to 20.6 mm. From previous tests, it is known that the parts are normally distributed N(20.56; 0.02). Out of a batch of 1000 parts how many would be expected to be rejected?In a hypothetical scenario, the National Institute of Standards and Technology has received a new replica of The Kilogram. It is weighed five times. The measurements are as follows, in units of micro-grams above 1 kg: 114.3, 82.6, 136.4, 126.8, 100.7. a) Is it possible to estimate the uncertainty in these measurements? If so, estimate it. If not, explain why not. b) Is it possible to estimate the bias in these measurements? If so, estimate it. If not, explain why not.You source a battery for your product from two different suppliers (A and B). You suspect that theequivalent series resistance (ESR) of batteries supplied by the two suppliers is not the same. Thestandard deviation of ESR from each supplier is 2 ohms. You would like to be able to determine an ESRdifference of 1 ohms between suppliers. How many parts would you need to sample from each supplier(assume you sample the same number from each supplier) for a power level of 90%. Assume the desiredsignificance level (?) is 5%.