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 7 parts per billion pollutants, REM Industries collects a random sample of 27 readings. The mean pollutant level forthe sample is 6.65 parts per billion with a population standard deviation of 0.9 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.Ho : p = 7H₂H.7

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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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…
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Humerus bones from the same species of animal have approximately the same length-to-width ratios. It is known that Species A has a mean ratio of 5.9. Suppose that 100 fossil humerus bones were unearthed at a site where Species A is known to have flourished. (We assume that all bones are from the same species.) The length-to-width ratios of these bones have a sample mean 5.6 and sample standard deviation 0.25. Can we conclude that the mean ratio of these bones is significantly smaller than those of Species A? Test with a 0.01 significance level. What is the standard error?
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