n mean. Hat a significance level of a ärd deviation o is knownSo You use th standard normal distribuțion'when the
n mean. Hat a significance level of a ärd deviation o is knownSo You use th standard normal distribuțion'when the
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:3. Testing a population mean - Reaching a conclusion by the rejection region approach
You conduct a hypothesis test of a population mean.Hat a significance level of a =0.05 using a
sample of size n' 46.The populatlon standard'deviation o Is known, so you use the sfandardižed
test'stătistic2. Your test statistic follows a standard normal distribution'when the null hypothesis
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0 1 2 /3
If you perform a left-tail test, the rejection region for your test statistic is z 3 -za. The boundary of
your rejection region, is:
-Za =
(Hint: The value you enter should be a negative number and include the minus sign.)
You
region:
the null hypothesis in this case, because the test statistic falls in the
z< -za
z > -za
If you perform a two-tail test, the rejection region for your test statistic consists of values in the
regions z s -za/2 and z 2 za/2. The boundaries of your rejection region are:
-Za/2 =
and za/2 =
the null hypothesis in this case, because the test statistic falls in the
You
region:
-za/2 < z < Za/2
z > Za/2
O zs -za/2
Expert Solution
Step 1
Given that the value of the test statistic is,
Z=-1.5
The level of significance is,
If you perform a left tail test, the rejection region for your test statistic is 
From standard normal table at 
level of significance the left tailed critical value is -1.645.
The boundary of your rejection region is,
Here z=-1.5 which is greater than -1.645 . so, do not reject (or) fail to reject the null hypothesis .
You accept/do not reject/ fail to reject the null hypothesis because the test statistic falls in the region.
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