NT #1 The EPA maximum contaminant level (MCL) for arsenic is 10 micrograms per liter. (10ug/L). You wish to test whether water has acceptable levels of arsenic, that is, below the MCL. For the...


NT #1<br>The EPA maximum contaminant level (MCL) for arsenic is 10 micrograms per liter. (10ug/L).<br>You wish to test whether water has acceptable levels of arsenic, that is, below the MCL. For the<br>following questions, consider two options: a one-sided lower tail test of H, : u<br>10 and a one-sided upper tail test of Ho : u = 10 vs H : u> 10. Use a significance level of a =<br>= 10 vs HA : µ<<br>.05.<br>a) Write out what a Type I and Type II error would mean for each of the two possible one-sided<br>tests.<br>b) The data is in: you tested 45 water samples and found a sample mean of 10.57ug/L arsenic<br>with a sample standard deviation of 2.65µg/L. Carry out hypothesis tests for both options.<br>c) Interpret your results from<br>part b).<br>d) Which of the two tests do you think is the better option, and why?<br>

Extracted text: NT #1 The EPA maximum contaminant level (MCL) for arsenic is 10 micrograms per liter. (10ug/L). You wish to test whether water has acceptable levels of arsenic, that is, below the MCL. For the following questions, consider two options: a one-sided lower tail test of H, : u 10 and a one-sided upper tail test of Ho : u = 10 vs H : u> 10. Use a significance level of a = = 10 vs HA : µ< .05.="" a)="" write="" out="" what="" a="" type="" i="" and="" type="" ii="" error="" would="" mean="" for="" each="" of="" the="" two="" possible="" one-sided="" tests.="" b)="" the="" data="" is="" in:="" you="" tested="" 45="" water="" samples="" and="" found="" a="" sample="" mean="" of="" 10.57ug/l="" arsenic="" with="" a="" sample="" standard="" deviation="" of="" 2.65µg/l.="" carry="" out="" hypothesis="" tests="" for="" both="" options.="" c)="" interpret="" your="" results="" from="" part="" b).="" d)="" which="" of="" the="" two="" tests="" do="" you="" think="" is="" the="" better="" option,="" and="">

Jun 03, 2022
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