Polychlorinated biphenyl (PCB) is among a group of organic pollutants found in a variety of products, such as coolants, insulating materials, andlubricants in electrical equipment. Disposal of items containing less than 50 parts per million (ppm) PCB is generally not regulated. A certain kindof small capacitor contains PCB with a mean of 48.3 ppm and a standard deviation of 5 ppm. The Environmental Protection Agency takes arandom sample of 40 of these small capacitors, planning to regulate the disposal of such capacitors if the sample mean amount of PCB is 49 ppmor more. Find the probability that the disposal of such capacitors will be regulated.Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places.ContinueSubmit Assignment© 2022 McGraw Hill LLC. All Rights Reserved. Terms of Use I Privacy CenterAccessibilitytvMacBook AirDII80F6F7F8F9F10F523&

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Answered: Polychlorinated biphenyl (PCB) is among…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Consider the company, which produces lightbulbs with a mean lifetime of 1,200 hours and a standard deviation of 50 hours. a. Find the z-score for a lightbulb that lasts only 1,120 hours. b. Find the z-score for a lightbulb that lasts 1,300 hours.
Of 100 students, 27 can speak French F, 36 can speak German G, and 14 can speak both French and German. How many students speak neither French nor German? Oa. 49 O b.35 O c. 51 Od. 63 O e. 14
Inorganic phosphorous is a naturally occurring element in all plants and animals, with concentrations increasing progressively up the food chain (fruit < vegetables < cereals < nuts < corpse). Geochemical surveys take soil samples to determine phosphorous content (in ppm, parts per million). A high phosphorous content may or may not indicate an ancient burial site, food storage site, or even a garbage dump. Independent random samples from two regions gave the following phosphorous measurements (in ppm). Assume the distribution of phosphorous is mound-shaped and symmetric for these two regions. Region I: x,; n, = 15 875 1,080 2,330 1,850 1,860 853 1,551 1,230 2,340 1,080 910 1,130 1,450 1,260 1,010 Region II: x,; n, = 14 540 808 790 1,230 1,770 960 1,650 860 890 640 1,180 1,160 1,050 | 1,020 In USE SALT (a) Use a calculator with mean and standard deviation keys to verify that x,, S,, x2, and s,. (Round your answers to four decimal places.) X1 ppm S. = ppm X2 ppm 52 ppm (b) Let u, be the…
Based on a recent study, the pH level of the arterial cord (one vessel in the umbilical cord) is normally distributed with mean 7.27and standard deviation of 0.11. Find the percentage of preterm infants who have the following arterial cord pH levels. a. pH levels between 7.00 and 7.50. b. pH levels over 7.35. a. The percentage of arterial cord pH levels that are between 7.00and 7.50 is __________%. (Round to two decimal places as needed.) b. The percentage of arterial cord pH levels that are over 7.35 is _______%. (Round to two decimal places as needed.)
An analyst found that the average amount of money in bank accounts at his/her bank is $2,000 with a standard deviation of $150. What would be the variance?
The acidity of liquids is measured by pH on a scale of 0 to 14. Distilled water has pH 7.0, and lower pH values indicate acidity. Normal rain is somewhat acidic, so "acid rain" is sometimes defined as rainfall with a pH below 5.0.The pH of rain at one location varies among rainy days according to a Normal distribution with mean 5.53 and standard deviations 0.64.
An industrial sewing machine uses ball bearings that are targeted to have a diameter of 0.72 inch. The lower and upper specification limits under which the ball bearings can operate are 0.71 inch and 0.73 inch, respectively. Past experience has indicated that the actual diameter of the ball bearings is approximately normally distributed, with a mean of 0.724 inch and a standard deviation of 0.003 inch. Complete parts (a) through (e) below. a. What is the probability that a ball bearing is between the target and the actual mean? (Round to four decimal places as needed.) b. What is the probability that a ball bearing is between the lower specification limit and the target? (Round to four decimal places as needed.) c. What is the probability that a ball bearing is above the upper specification limit? (Round to four decimal places as needed.) d. What is the probability that a ball bearing is below the lower specification limit? (Round to four decimal places as needed.) e. Of all the ball…
A company manufactures an electrical cooling fan. When the fans are performing properly, samples of 200 fans average 12.5 watts with an average range of 1.2 watts. A 3σ control chart program is being used to monitor the performance of the fans, and these data from the 10 most recent samples were collected: Sample Number Sample Mean Sample Range 1 12.5 1.1 2 12.45 1.2 3 12.55 0.9 4 12.50 0.8 5 12.45 0.9 6 12.60 1.0 7 12.48 1.4 8 12.46 1.1 9 12.56 0.9 10 12.48 0.8 Compute the 3σ control limits and center line for an ⁻x chart. Compute the 3σ control limits and center line for an R chart. Plot the sample data on the ⁻x and R charts and decide if the performance of the fan is in control.
Suppose there is a city where the mean cost per month of a one-bedroom apartment is $1,500, with a standard deviation of $250. Approximately what percentage of one-bedroom apartments in the city cost between $750 and $1,000?
An industrial sewing machine uses ball bearings that are targeted to have a diameter of 0.71 inch. The lower and upper specification limits under which the ball bearings can operate are 0.69 inch and 0.73 inch, respectively. Past experience has indicated that the actual diameter of the ball bearings is approximately normally distributed, with a mean of 0.713 inch and a standard deviation of 0.004 inch. Complete parts (a) through (e) below. a. What is the probability that a ball bearing is between the target and the actual mean? 0.2734 (Round to four decimal places as needed.) b. What is the probability that a ball bearing is between the lower specification limit and the target? 0.2266 (Round to four decimal places as needed.) c. What is the probability that a ball bearing is above the upper specification limit? 0 (Round to four decimal places as needed.) d. What is the probability that a ball bearing is below the lower specification limit? (Round to four decimal places as needed.)
Inorganic phosphorous is a naturally occurring element in all plants and animals, with concentrations increasing progressively up the food chain (fruit < vegetables < cereals < nuts < corpse). Geochemical surveys take soil samples to determine phosphorous content (in ppm, parts per million). A high phosphorous content may or may not indicate an ancient burial site, food storage site, or even a garbage dump. Independent random samples from two regions gave the following phosphorous measurements (in ppm). Assume the distribution of phosphorous is mound-shaped and symmetric for these two regions. REGION I:X1;N1=15 857 1,551 1,230 875 1,080 2,330 1,850 1,860 2,340 1,080 910 1,130 1,450 1,260 1,010 REGION II:X2;N2=14 538 812 790 1,230 1,770 960 1,650 860 890 640 1,180 1,160 1,050 1,020 (a) Use a calculator with mean and standard deviation keys to verify that x1, s1, x2, and s2. (Round your answers to four decimal places.) x1= ppm s1= ppm x2= ppm s2= ppm…
Contaminated water: Polychlorinated biphenyls (PCBS) are a group of synthetic oil-like chemicals that were at one time widely used as insulation in electrical equipment and were discharged into rivers. They were discovered to be a health hazard and were banned in the 1970s. Assume that water samples are being drawn from a river in order to estimate the PCB concentration. Suppose that a random sample of size 80 has a sample mean of 1.90 parts per billion (ppb). Assume the population standard deviation is o = 0.26 ppb. Part 1 of 3 ▬▬ esc (a) Construct a 98% confidence interval for the PCB concentration. Use tables or technology. Round your answers to at least two decimal places. The confidence interval is 1.83 1.97 Part 2 of 3 Skip Part Check Type here to search 12 2 # * 3 14 $ 4 D Et % 5 6 & 7 4+ Save For Later © 2023 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center 55°F 8 9 ho Submit. ► 11 d 1 3/

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