Polychlorinated biphenyl (PCB) is among a group of organic pollutants found in a variety of products, such as coolants, insulating materials, and lubricants inelectrical equipment. Disposal of items containing less than 50 parts per million (ppm) PCB is generally not regulated. A certain kind of small capacitor containsPCB with a mean of 48.3 ppm and a standard deviation of 5 ppm. The Environmental Protection Agency takes a random sample of 38 of these small capacitors,planning to regulate the disposal of such capacitors if the sample mean amount of PCB is 48.5 ppm or more. Find the probability that the disposal of suchcapacitors will be regulated.Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places.?

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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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 2 of 5: Find the value of the test statistic. Round your answer to three decimal places.
Watch your cholesterol: A sample of 290 patients between the ages of 38 and 82 were given a combination of drugs ezetimibe and simvastatin. They achieved a mean reduction in total cholesterol of 0.85 millimole per liter. Assume the population standard deviation is o =0.18.
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?
An engineer has designed a valve that will regulate water pressure on an automobile engine. The valve was tested on 220 engines and the mean pressure was 7.3 pounds/square inch (psi). Assume the population standard deviation is 0.9. If the valve was designed to produce a mean pressure of 7.4 psi, is there sufficient evidence at the 0.05 level that the valve performs below the specifications? Step 6 of 6: Make the decision to reject or fail to reject the null hypothesis.
Atherosclerosis, the hardening of arteries that can impair blood flow to the heart, brain, kidneys, and other organs, is increased by high levels of blood cholesterol. This, among other things, raises the risk of heart attack, stroke, and kidney failure. Adult males of a certain racial group's cholesterol levels are roughly regularly distributed, with a mean of 4.8 mmol/L and a standard deviation of 0.6 mmol/L. a. If a man's cholesterol level exceeds 5.75 mmol/L, he is at high risk.What are the probabilities of being in a high-risk situation?b.Meanwhile, if an adult male's cholesterol level is 1 standard deviation or more below the mean, he is at minimal risk. What proportion of adult males are considered to be at minimal risk?Please help me answer letter b.
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.
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…
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.)
According to a recent study, the carapace length for adult males of a certain species of tarantula are normally distributed with a mean of μ=17.47 mm and a standard deviation of σ=1.95 mm. Complete parts (a) through (d) below. a. Find the percentage of the tarantulas that have a carapace length between 15mm and 16 mm. The percentage of the tarantulas that have a carapace length between 15 and 16 is nothing %.
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 1 of 5: State the null and alternative hypotheses.
Watch your cholesterol: A sample of 290 patients between the ages of 38 and 82 were given a combination of drugs ezetimibe and simvastatin. They achieved a mean reduction in total cholesterol of 0.85 millimole per liter. Assume the population standard deviation is o =0.18. Answer the following question.

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