Testing: Ho: µ < 27.8 H1:µ > 27.8 Your sample consists of 22 values, with a sample mean of 28.5. Suppose the population standard deviation is known to be 2.04. a) Calculate the value of the test statistic, rounded to 2 decimal places. 2 = b) At a = 0.08, the rejection region is O z < -1.41 O z < -1.75 O z < -1.41 or z > 1.41 O z > 1.41 O z > 1.75 Oz < -1.75 or z > 1.75 c) The decision is to Accept the alternative hypotheis O Accept the null hypothesis O Fail to reject the null hypothesis O Reject the null hypothesis

MATLAB: An Introduction with Applications
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Testing:
Но: д < 27.8
H1:µ > 27.8
Your sample consists of 22 values, with a sample mean of 28.5. Suppose the population
standard deviation is known to be 2.04.
a) Calculate the value of the test statistic, rounded to 2 decimal places.
= Z
b) At a = 0.08, the rejection region is
Oz < -1.41
Oz < -1.75
Oz < -1.41 or z > 1.41
z > 1.41
z > 1.75
z < -1.75 or z > 1.75
c) The decision is to
Accept the alternative hypotheis
O Accept the null hypothesis
O Fail to reject the null hypothesis
Reject the null hypothesis
d) Suppose you mistakenly rejected the null hypothesis in this problem, what type of error
is that?
O Type I
О Турe II
Transcribed Image Text:Testing: Но: д < 27.8 H1:µ > 27.8 Your sample consists of 22 values, with a sample mean of 28.5. Suppose the population standard deviation is known to be 2.04. a) Calculate the value of the test statistic, rounded to 2 decimal places. = Z b) At a = 0.08, the rejection region is Oz < -1.41 Oz < -1.75 Oz < -1.41 or z > 1.41 z > 1.41 z > 1.75 z < -1.75 or z > 1.75 c) The decision is to Accept the alternative hypotheis O Accept the null hypothesis O Fail to reject the null hypothesis Reject the null hypothesis d) Suppose you mistakenly rejected the null hypothesis in this problem, what type of error is that? O Type I О Турe II
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