The Environmental Protection Agency (EPA) has determined that safe drinking water should contain at most 1.3 mg/liter ofcopper, on average. A water supply company is testing water from a new source and collects water in small bottles at each of 30randomly selected locations. The company performs a test at the a = 0.05 level ofHo μ = 1.3:H₂ μ> 1.3where is the true mean copper content of the water from the new source.Which of the following is true regarding Type I and Type II errors in this setting?A Type I error would be finding convincing evidence that the mean copper content of the water from the new source isgreater than 1.3 mg/liter when it really is.A Type II error would be not finding convincing evidence that the true mean copper content of the water from the newsource is greater than 1.3 mg/liter when it really is.A Type II error would be not finding convincing evidence that the true mean copper content of the water from the newsource is greater than 1.3 mg/liter when it really isn't.The probability of making a Type I error would be reduced if a larger a level was chosen.The probability of making a Type II error would be increased if a larger a level was chosen.

Each hypothesis test has two type of errors. They are type 1 and type 2 error. Type 1 error explains…

Answered: The Environmental Protection Agency…

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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The National Institute of Standards and Technology (NIST) offers a wide variety of “standard reference materials” (SRMs) with accurately specified analyte concentrations. SRM 1951c is intended in part for “evaluating the accuracy of clinical procedures for the determination of total cholesterol . . . in human serum.” The certified total cholesterol is 6.244 ± 0.072 mmol/L. For the sake of this question, let’s treat 6.244 mmol/L as its “true” value (μ). We will use this standard to test a method with an intrinsic variability (for an experienced analyst) of σ = 0.131 mmol/L. 1. For what value of z does exactly 95% of the area under a Gaussian curve lie between ± z? Use this multiplier to find the range of measured cholesterol concentrations that would include 95% of the trials from the “parent population” (μ and σ) given above. 2. Calculate z for a trial in which the measured total cholesterol concentration is 6.302 mmol/L. 3. What is the probability that a trial will give a cholesterol…
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