Polychlorinated biphenyl (PCB) is among a group of organic pollutants found in a variety of products, such as coolants, Insulating materials, and lubricants in electrical equipment. Disposal of items containing less than 50 parts per million (ppm) PCB is generally not regulated. A certain kind of small capadtor contains PCB with a mean of 48.1 ppm and a standard deviation of 7 ppm. The Environmental Protection Agency takes a random sample of 37 of these small capacitors, planning to regulate the disposal of such capacitors if the sample mean amount of PCB is 49 ppm or 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.

Polychlorinated biphenyl (PCB) is among a group of organic pollutants found in a variety of products, such as coolants, Insulating materials, and lubricants in electrical equipment. Disposal of items containing less than 50 parts per million (ppm) PCB is generally not regulated. A certain kind of small capadtor contains PCB with a mean of 48.1 ppm and a standard deviation of 7 ppm. The Environmental Protection Agency takes a random sample of 37 of these small capacitors, planning to regulate the disposal of such capacitors if the sample mean amount of PCB is 49 ppm or 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.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

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.
I need help with this problem.
A factory that manufactures screws is performing a quality control experiment. Each object should have a length of no more than 13 centimeters. The factory believes that the length of the screws exceeds this value and measures the length of 70 screws. The sample mean screw length was 13.01 centimeters. The population standard deviation is known to be σ=0.15 centimeters. What is the null hypothesis? What is the alternative hypothesis?
200 people were randomly sampled and asked what they regularly eat for breakfast or lunch. Each person was identified as either a consumer or a non consumer of high-fiber cereals, and the number of calories consumed at lunch was measured and recorded. These data are summarized below; Consumer of high fiber cereals Non consumer of high fiber cereals η1 =41 η2 = 159 Mean 1 =603 Mean 2 =639 Stanadard deviation 1 = 110 Standard deviation 2 = 141 If the scientist claims that people who eat high fiber cereals for breakfast do consume on average fewer calories for lunch than people who don’t eat high fiber cereals for breakfast, and if it is true, high fiber cereal manufacturer will be able to claim another advantage of eating their products-potential weight reduction for dieter. REQUIRED Are there sufficient evidence at 5% significance level to support the above claim?
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.)
Please see the attached photo
A supplier is selling lumber to a building supply company. The building supply company requires that the overall length of a particular type of board measure between 95.9 and 96.1 inches. Before sending its next shipment, the supplier collects a large sample of boards and determines the mean length of the sample is 96.03 inches, with a standard deviation of 0.029 inches. What is the process capability index of the current process? Two decimal places.
An automobile manufacturer claims that their van has a 50.750.7 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the MPG for this van. After testing 2323 vans they found a mean MPG of 50.950.9 with a standard deviation of 2.02.0. Is there sufficient evidence at the 0.10.1 level that the vans outperform the manufacturer's MPG rating? Assume the population distribution is approximately normal. Step 1 of 5 : State the null and alternative hypotheses.
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?
The population mean of a company's racing bicycles is 9.07 kg (20.0 1b) with a population standard deviation of 0.40 kg. If the distribution is approximately normal, determine (a) the percentage of bicycles less than 8.30 kg, (b) the percentage of bicycles greater than 10.00 kg, and (c) the percentage of bicycles between 8.00 and 10.10 kg.
Federal officials have investigated the problems associated with disposal of hazardous wastes. One disposal site is the abandoned Stringfellow acid pits in Riverside County, Calif. The EPA sampled water from 12 wells in nearby Glen Avon. The EPA standard for maximum allowable radiation level of drinking water is 13.35 pCi/L. Suppose that the sample of 12 water specimens resulted in a sample mean radiation level of 18.97 pCi/L and a sample standard deviation 6.12. Is this sufficient evidence to indicate that the water in Glen Avon has a mean radiation level that exceeds the EPA standard?. Use t test. (a = 0.05) Ho = 13.35 versus Η μ > 13.35 Let μ denote the true mean radiation level for well water in Glen Avon O Reject Null Hypothesis O Failed to Reject Null Hypothesis
An engineer 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 7.8 pounds/square inch. It is believed that the valve performs above the specifications. The valve was tested on 24 engines and the mean pressure was 8.0 pounds/square inch with a standard deviation of 0.7. A level of significance of 0.05 will be used. Assume the population distribution is approximately normal. Determine the decision rule for rejecting the null hypothesis. Round your answer to three decimal places.