What are you drinking? Environmental Protection Agency standards require that the amount of lead in drinking water be less than 15 micrograms per liter. Ten samples of water from a particular source have the following concentrations, in units of micrograms per liter: 11.6 14.4 11.7 14.6 15.7 9.0 12.7 8.7 12.1 17.9 Send data to Excel (a) Explain why it is necessary to check that the population is approximately normal before performing a hypothesis test. (b) Following is a dotplot of the data. Is it reasonable to assume that the population is approximately normal? ... .. 10 12 14 16 18 20

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter29: Tolerance, Clearance, And Interference
Section: Chapter Questions
Problem 16A: Spacers are manufactured to the mean dimension and tolerance shown in Figure 29-12. An inspector...
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What are you drinking? Environmental Protection Agency standards require that the amount of lead in drinking water be less than 15 micrograms per liter.
Ten samples of water from a particular source have the following concentrations, in units of micrograms per liter:
11.6
14.4
11.7
14.6
15.7
9.0
12.7
8.7
12.1
17.9
Send data to Excel
(a) Explain why it is necessary to check that the population is approximately normal before performing a hypothesis test.
(b) Following is a dotplot of the data. Is it reasonable to assume that the population is approximately normal?
10 12 14 16 18
20
(c) Assume that the population standard deviation is o = 3. If appropriate, perform a hypothesis test at the a = 0.10 level using the critical value method with
the table to determine whether you can conclude that the mean concentration of lead meets the EPA standard. What do you conclude?
Part: 0/ 7
Part 1 of 7
(a) Explain why it is necessary to check that the population is approximately normal before performing a hypothesis test.
It is necessary to check that the population is approximately normal because (Choose one)
Transcribed Image Text:What are you drinking? Environmental Protection Agency standards require that the amount of lead in drinking water be less than 15 micrograms per liter. Ten samples of water from a particular source have the following concentrations, in units of micrograms per liter: 11.6 14.4 11.7 14.6 15.7 9.0 12.7 8.7 12.1 17.9 Send data to Excel (a) Explain why it is necessary to check that the population is approximately normal before performing a hypothesis test. (b) Following is a dotplot of the data. Is it reasonable to assume that the population is approximately normal? 10 12 14 16 18 20 (c) Assume that the population standard deviation is o = 3. If appropriate, perform a hypothesis test at the a = 0.10 level using the critical value method with the table to determine whether you can conclude that the mean concentration of lead meets the EPA standard. What do you conclude? Part: 0/ 7 Part 1 of 7 (a) Explain why it is necessary to check that the population is approximately normal before performing a hypothesis test. It is necessary to check that the population is approximately normal because (Choose one)
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