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 AssignmentO 2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | Accessibilitytv? ? D80F3DIIF4F6F7FBF9F10%2324&*345

Given, mean (µ) = 48.3 standard deviation (σ) = 5 sample size (n) = 40Let 'x' be a random…

Answered: 5 among a group of organic pollutants…

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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The ability to determine the age of some individuals can be difficult if there are not quality government records of birth. Bone growth takes place at the growth plates at the end of long bones. Once all growth plates fuse, growth stops, and an individual is considered a biological adult. The age at which growth plates fuse for males is approximately normally distributed with a mean of 18.7 years and a standard deviation of 16 months. Complete parts (a) through (d) (a) What is the probability a male's growth plates fuse after age 20? The probability a male's growth plates fuse after age 20 is (Round to four decimal places as needed) (b) What is the probability a male's growth plates fuse before age 177 The probability a male's growth plates fuse before age 17 is (Round to four decimal places as needed.) (c) What proportion of male growth plates fuse between 16 and 17 years of age? COLLE The proportion of male growth plates that fuse between 16 and 17 years of age is (Round to four…
In a region, the correlation coefficient between corn yield and peanut yield (planted in the same soil, in MT/ha) is 0.9. We also know that the mean and the standard deviation of corn yield is 3.2 and 2.4, respectively. The mean and the standard deviation of peanut yield is 1.8 and 0.72, respectively. Using this information, predict the expected corn yield of a filed with peanut yield of 1.76.
According to United States Department of Agriculture, the average retail price of conventional whole milk at New York City in the year 2020 (up to November 2020 considered) is $3.92 per gallon. The standard deviation in the retail prices in the year 2020 (up to November 2020 considered) is $0.084. You are given a task of selecting randomly a sample of 85 milk bottles (whole milk of 1 gallon volume). a. Calculate µx̅ and σx̅. b. What is the approximate probability that the sample has a mean retail price that exceeds $4.05? c. What is the approximate probability that the sample has a mean retail price between $3.91 and $3.94?
Biological oxygen demand (BOD) is a pollution index that is monitored in the treated effluent of paper mills. A certain paper mill has taken 31 samples over the past 3 months. The mean and standard deviation for the sample data are 3.42 and 0.728 ppm respectively. The mill would like to see if this sample indicates that the true average BOD in their treated effluent exceeds the targeted 3.00 ppm. Let ? = 0.05. A) The test statistic, (ttest), for this data set is: Note: Round your answer to the nearest hundredth.B) The p-value is: C) The statistical decision and corresponding English interpretation for this study are: Fail to reject Ha: conclude that the true BOD in treated effluent exceeds 3 ppmFail to reject Ho: we cannot conclude that the true BOD in treated effluent exceeds 3 ppm Reject Ha: we cannot conclude that the true BOD in treated effluent exceeds 3 ppmReject Ho: conclude that the true BOD in treated effluent exceeds 3 ppm
You may need to use the appropriate appendix table or technology to answer this question. A magazine conducts an annual survey with higher values indicating better service. A sample of 34 ships that carry fewer than 500 passengers resulted in an average rating of 85.33, and a sample of 44 ships that carry 500 or more passengers provided an average rating of 81.80. Assume that the population standard deviation is 4.55 for ships that carry fewer than 500 passengers and 3.97 for ships that carry 500 or which readers rate their favorite cruise ship. All ships are rated on a 100-point scale, more passengers. (a) What is the point estimate of the difference between the population mean rating for ships that carry fewer than 500 passengers and the population mean rating for ships that carry 500 or more passengers? (Use smaller cruise ships - larger cruise ships.) (b) At 95% confidence, what is the margin of error? (Round your answer to two decimal places.) (c) What is a 95% confidence interval…
Speeds of cars in an expressway are monitored by high-speed camera units. The minimum speed of cars in the expressway is 60 kph and the maximum speed is 100 kph. Cars going below the minimum, or going above the maximum, are apprehended. Suppose that speed of the cars on the expressway are normally distributed with a mean of 75kph and a standard deviation of 10 kph. What percentage of the cars travelling on the expressway will not be apprehended? Note: Write your answer as percentage with two decimal places (i.e. 87.26%).
Records indicate that the mean weight of mature rainbow trout in Eagle Creek is 1.75 kg with a standard deviation of 0.33 kg. After years of marked oxygen depletion from pollutants in the creek, a biologist wants to see if the standard deviation, o, of weights has changed. The biologist measures the weights of 20 randomly chosen mature rainbow trout from the creek and finds that the sample standard deviation is 0.38 kg. Assume the current weights of mature rainbow trout in the creek follow a normal distribution. Does the biologist have sufficient evidence to conclude that the population standard deviation, o, differs from 0.33 kg? To answer, complete the parts below to perform a hypothesis test. Use the 0.10 level of significance.
An engineer has designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such that it would produce a mean pressure of 7.0 pounds/square inch. The valve was tested on 22 engines and the mean pressure was 6.7 pounds/square inch with a standard deviation of 0.7. Is there evidence at the 0.05 level that the valve does not perform to the specifications? Assume the population distribution is approximately normal. Step 3 of 5: Specify if the test is one-tailed or two-tailed.
Attenuation is the reduction of the amplitude of a signal, electric current, or other oscillation. With maximum attenuation, a scanner will not be able to read a bar code at a fixed distance. After substantial amount of data collection, a group of instrumentation engineers decided to model a variation of maximum attenuation of scanners as a normal distribution with a mean of 10.1 decibels and standard deviation of 2.7, same unit. What proportion of the products have maximum attenuation greater than 15.1 dB? 0.0718 none of these 0.0322 0.0214
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The probability that a trainee will remain with a company is 0.6. the probability that am employee earnsbmore than k10,000 per month is 0.5. the probability that an employee who is a trainee remained with the company or who earns more than k10,000 per month is 0.7. what is the probability that an employee earns more than k10,000 per month given that he is a trainee who stayed with the company
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