Government regulations restrict the amount of pollutants that can be released to the atmosphere through industrial smokestacks. To demonstrate that their smokestacksare releasing pollutants below the mandated limit of 5 parts per billion pollutants, REM Industries collects a random sample of 23 readings. The mean pollutant level forthe sample is 4.45 parts per billion with a population standard deviation of 1.3 parts per billion. Do the data support the claim that the average pollutants produced byREM Industries are below the mandated level at a 0.01 significance level? Assume the population of readings is approximately normally distributed.Step 1 of 3: State the null and alternative hypotheses for the test. Fill in the blank below.Hop 5H₂H.a5

In hypothesis testing, we start by stating the null hypothesis (H0) and the alternative hypothesis…

Answered: Government regulations restrict the…

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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Assume that stress level scores are normally distributed with a population mean of 25 and a population standard deviation of 2.5. What proportion of sample means (with 9 people in each sample) will fall between 23 and 26?
A process is in statistical control with a mean of 79.5 mm and a standard deviation of 1.85. The upper specification limit is 80.2 mm, and the lower specification is 78.6 mm. What are the values of Cp, Cpk?
A particular fruit's weights are normally distributed, with a mean of 519 grams and a standard deviation of 10 grams.The heaviest 13% of fruits weigh more than how many grams?Give your answer to the nearest gram.
It is determined that the amount of water in a bottle made by this company is normally distributed with a mean of 12 oz and a standard deviation of 0.06 oz. What percent of water bottles contain between 11.88 and 12.12 oz of water?
Unfortunately, arsenic occurs naturally in some ground water.† A mean arsenic level of μ = 8.3 parts per billion (ppb) is considered safe for agricultural use. A well in Texas is used to water cotton crops. This well is tested on a regular basis for arsenic. A random sample of 41 tests gave a sample mean of x = 7.3 ppb arsenic, with s = 2.4 ppb. Does this information indicate that the mean level of arsenic in this well is less than 8.3 ppb? Use ? = 0.01. (a) What is the level of significance? State the null hypotheses H0 and the alternate hypothesis H1 . H0 : μ ---Select--- < ≥ ≤ = > ≠ H1 : μ ---Select--- < > ≤ ≥ = ≠ (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. The standard normal, since the sample size is large and σ is known.The Student's t, since the sample size is large and σ is known. The standard normal, since the sample size is large and σ is unknown. The Student's t, since the…
The shelf life of a battery produced by one major company is known to be Normally distributed, with a mean life of 3.5 years and a standard deviation of 0.75 years. What is the upper quartile of battery shelf life? Use the fact that the middle 50% of the data falls within 0.67 standard deviations from the mean.
One of the measurements used to determine the health of a person's lungs is the amount of air a person can exhale under force in one second. This is called forced expiratory volume in one second, and is abbreviated FEV,. Assume the mean FEV, for 10-year-old boys is 2.1 liters that the population standard deviation is o =0.2. A random sample of 53 10-year-old boys live in a community with high levels of ozone pollution are found to have a sample mean FEV, of 2.09 liters. Can you conclude that the mean FEV, in the high-pollution community differs from 2.1 liters? (A) Yes (B) No
A certain grade egg must weigh at least 2.0 Oz. If the weights of eggs are normally distributed with a mean of 1.5oz. And a standard deviation of 0.4oz, approximately how many eggs would you expect to weigh more than 2oz?
A sample of size 50 will be drawn from a population with mean 76 and standard deviation 14. Find the 69th percentile of x.
Consider a normally distributed population with a mean of 196 and a standard deviation of 20. Find the value from this population that gives the 0.195 percentile. (Please round your answer to one decimal place, e.g. 0.6.)
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.
The overall average on a process you are attempting to monitor is 50.0 units. The process population standard deviation is 1.84. Sample size is given to be 16.

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