123In a study of microplastics in our environment, it was determined that there are 5.25 trillion plastic pieces floating in the ocean,weighing more than 250,000 tons. In a recent expedition to examine whether increases in plastic production have led to changes inocean microplastics, 16 samples were taken at various locations in the Pacific Ocean. It was determined that the averageconcentration was 9.5 particles per liter of ocean water with a sample standard deviation of 6. In one of the earliest researchexpeditions to study microplastics in the ocean conducted in 2009, it was determined that the average concentration of microplasticswas 6 particles per liter (consider this the population or reference mean).Test the two-sided alternative hypothesis at alpha = 5%. What is your conclusion?Fail to reject the null hypothesisReject the null hypothesis

Answered: Image /qna-images/answer/45ed90f6-0cc8-45cc-b2e0-f6e29e480878.jpg

Answered: 1 2 3 In a study of microplastics in…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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An article reports an investigation into the toxicity of bilirubin on several cell lines. Ten sets of human liver cells and 5 sets of mouse fibroblast cells were placed into solutions of bilirubin in albumin with a 1.4 bilirubin/albumin molar ratio for 24 hours. In the 10 sets of human liver cells, the average percentage of cells surviving was 53.9 with a standard deviation of 10.7. In the 5 sets of mouse fibroblast cells, the average percentage of cells surviving was 73.1 with a standard deviation of 9.1. Let μXμX represent the population mean for the mouse cells and let μYμY represent the population mean for the human cells. Find a 98% confidence interval for the difference μX−μYμX−μY . Round down the degrees of freedom to the nearest integer and round the answers to three decimal places. The 98% confidence interval is ( , ).
In a mid-size company, the distribution of the number of phone calls answered each day by each of the 12 receptionists is bell-shaped and has a mean of 40 and a standard deviation of 4. Using the empirical rule, what is the approximate percentage of daily phone calls numbering between 32 and 48?
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 the items containing less than 50 parts per million ( ppm) PCM is generally not regulated . A certain kind of small capacitor contains PCB with a mean of 48.2 ppm and a standard deviation of 8 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 .
8. 140 migrating pigeons were caught by a biologist for data collection. The mass of these pigeons is normally distributed with mean 0.9 kg and standard deviation of deviation 0.15 kg. a) Determine the percentile rank of a pigeon weighing 1kg. b) What proportions of pigeons have weight greater than 1.1 kg or less than 0.7 Kg 31
Osteoporosis is a condition in which the bones become brittle due to loss of minerals. To diagnose osteoporosis, an elaborate apparatus measures bone mineral density (BMD). BMD is usually reported in standardized form. The standardization is based on a population of healthy young adults. The World Health Organization (WHO) criterion for osteoporosis is a BMD 2.5 standard deviations below the mean for young adults. BMD measurements in a population of people similar in age and sex roughly follow a Normal distribution. What percent of healthy young adults have osteoporosis by the WHO criterion? Give your answer to two decimal places.
Methyl t-butyl ether (MTBE) is an organic water contaminant that often results from gasoline spills. The level of MTBE (in parts per billion) was measured for a sample of 12 well sites located near the ship channel during a recent spilI. The data are: 150, 376, 38, 12, 11, 134, 12, 251, 63, 8, 13, 107. (a) Find the sample mean and the sample standard deviation. (b) Construct and interpret a 91.85% and 98.15% confidence interval for the population mean by using the following equations: B, = x – t - - and By = x +t N sample N sample (c) Which confidence interval is wider and why?
The U.S. Energy Information Administration claimed that U.S. residential customers used an average of 10,608 kilowatt hours (kWh) of electricity this year. A local power company believes that residents in their area use more electricity on average than EIA's reported average. To test their claim, the company chooses a random sample of 187 of their customers and calculates that these customers used an average of 10,737kWh of electricity last year. Assuming that the population standard deviation is 1220kWh, is there sufficient evidence to support the power company's claim at the 0.05 level of significance? Step 2 of 3 : Compute the value of the test statistic. Round your answer to two 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 capacitor contains PCB with a mean of 47.7 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 49.5 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.
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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 capacitor contains PCB with a mean of 48.2 ppm and a standard deviation of 5 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 49.5 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.
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