MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Testing:
Но: д < 27.5
H1: µ > 27.5
Your sample consists of 43 values, with a sample mean of 28.4. Suppose the population standard deviation
is known to be 2.46.
a) Calculate the value of the test statistic, rounded to 2 decimal places.
= Z
b) At a = 0.08, the rejection region is
Оz<-1.41
Oz < -1.41 or z > 1.41
Oz < -1.75
Oz > 1.41
Oz < -1.75 or z > 1.75
Oz > 1.75
c) The decision is to
O Fail to reject the null hypothesis
O Accept the alternative hypotheis
Reject the null hypothesis
Accept the null hypothesis
d) Suppose you mistakenly rejected the null hypothesis in this problem, what type of error is that?
Туре II
О Туре I
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Transcribed Image Text:Testing: Но: д < 27.5 H1: µ > 27.5 Your sample consists of 43 values, with a sample mean of 28.4. Suppose the population standard deviation is known to be 2.46. a) Calculate the value of the test statistic, rounded to 2 decimal places. = Z b) At a = 0.08, the rejection region is Оz<-1.41 Oz < -1.41 or z > 1.41 Oz < -1.75 Oz > 1.41 Oz < -1.75 or z > 1.75 Oz > 1.75 c) The decision is to O Fail to reject the null hypothesis O Accept the alternative hypotheis Reject the null hypothesis Accept the null hypothesis d) Suppose you mistakenly rejected the null hypothesis in this problem, what type of error is that? Туре II О Туре I
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