What are you drinking? Environmental Protection Agency standards require that the amount of lead in drinking water be less than 15 micrograms per liter. Eleven samples of water from a particular source have the following concentrations, in units of micrograms per liter. Assume the population standard deviation is G=3. If appropriate, perform a hypothesis test to determine whether you can conclude that the mean concentration of lead meets the EPA standards. Use the a=0.10 level of significance and the P-value method with the TI-84 Plus calculator. 11.7 14.3 11.7 14.9 15.9 12.8 8.7 12.1 17.7 9.6 15.6 Send data to Excel 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 the sample size is small ≤ 30 Part: 1/7 5 Part 2 of 7 (b) Following is a dotplot of the data. Is it reasonable to assume that the population is approximately normal? It is reasonable to assume that the population is approximately normal. G
What are you drinking? Environmental Protection Agency standards require that the amount of lead in drinking water be less than 15 micrograms per liter. Eleven samples of water from a particular source have the following concentrations, in units of micrograms per liter. Assume the population standard deviation is G=3. If appropriate, perform a hypothesis test to determine whether you can conclude that the mean concentration of lead meets the EPA standards. Use the a=0.10 level of significance and the P-value method with the TI-84 Plus calculator. 11.7 14.3 11.7 14.9 15.9 12.8 8.7 12.1 17.7 9.6 15.6 Send data to Excel 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 the sample size is small ≤ 30 Part: 1/7 5 Part 2 of 7 (b) Following is a dotplot of the data. Is it reasonable to assume that the population is approximately normal? It is reasonable to assume that the population is approximately normal. G
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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Transcribed Image Text:Part 3 of 7
(c) State the appropriate null and alternate hypotheses.
= 15
H₁15
This hypothesis test is a two-tailed
Part: 3/7
Part 4 of 7
Z=
test.
5
x
O>0 0-0
H
(d) Compute the value of the test statistic. Round the answer to two decimal places.
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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.
Eleven samples of water from a particular source have the following concentrations, in units of micrograms per liter. Assume the population standard deviation is
G = 3. If appropriate, perform a hypothesis test to determine whether you can conclude that the mean concentration of lead meets the EPA standards. Use the
a=0.10 level
significance and the P-value method with the TI-84 Plus calculator.
11.7 14.3 11.7 14.9 15.9 12.8
8.7 12.1 17.7 9.6 15.6
Send data to Excel
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 the sample size is small 30
Part: 1/7
Part 2 of 7
(b) Following is a dotplot of the data. Is it reasonable to assume that the population is approximately normal?
i..
12
It is
4
$
6
10 •
14 16 18 20
▼ reasonable to assume that the population is approximately normal.
..
10
X
S
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