Show the appropriate rejection region for a given level of significance when the variance of the population is assumed to be unknown.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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Show the appropriate rejection region for a given level of significance
when the variance of the population is assumed to be unknown.

 

Drinking water has become an important concern among people. The
quality of drinking water must be monitored as often as possible during
the day for possible contamination. Another variable of concern is the pH
level, which measures the alkalinity or the acidity of water. A pH below
7.0 is acidic, while above 7.0 is alkaline. A pH of 7.0 is neutral. A water
treatment plant has a target pH of 8.0. Based on the 16 random water
samples, the mean and standard deviation were found to be x = 7.6 and
s = 0.4. Use a = 0.05, two – tailed. Does the figure below correctly
illustrate the critical regions?
SITUATION
rejection region H,
Non-rejection region
rejection region H,
0.025
(1 - a)
15
computed t= -4
-2131
2.131
CLAIM
EVIDENCE
REASONING
Transcribed Image Text:Drinking water has become an important concern among people. The quality of drinking water must be monitored as often as possible during the day for possible contamination. Another variable of concern is the pH level, which measures the alkalinity or the acidity of water. A pH below 7.0 is acidic, while above 7.0 is alkaline. A pH of 7.0 is neutral. A water treatment plant has a target pH of 8.0. Based on the 16 random water samples, the mean and standard deviation were found to be x = 7.6 and s = 0.4. Use a = 0.05, two – tailed. Does the figure below correctly illustrate the critical regions? SITUATION rejection region H, Non-rejection region rejection region H, 0.025 (1 - a) 15 computed t= -4 -2131 2.131 CLAIM EVIDENCE REASONING
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