Testing: Ho:µ < 48.2 H1: µ > 48.2 Your sample consists of 23 values, with a sample mean of 49.6. Suppose the population standard deviation is known to be 2.99. a) Calculate the value of the test statistic, rounded to 2 decimal places. b) At a = 0.03, the rejection region is O z < -1.88 O z > 1.88 O z < -2.17 or z > 2.17 z < -2.17 O z < -1.88 or z > 1.88 O z > 2.17 c) The decision is to Accept the alternative hypotheis O Fail to reject the null hypothesis O Reject the null hypothesis O Accept the null hypothesis

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Testing:
Но: р < 48.2
H1:µ > 48.2
Your sample consists of 23 values, with a sample mean of 49.6. Suppose the population standard deviation
is known to be 2.99.
a) Calculate the value of the test statistic, rounded to 2 decimal places.
= Z
b) At a = 0.03, the rejection region is
O z < -1.88
O z > 1.88
Oz < -2.17 or z > 2.17
z < -2.17
z < -1.88 or z > 1.88
z > 2.17
c) The decision is to
Accept the alternative hypotheis
O Fail to reject the null hypothesis
Reject the null hypothesis
O Accept the null hypothesis
d) Suppose you mistakenly rejected the null hypothesis in this problem, what type of error is that?
O Type I
Туре II
Transcribed Image Text:Testing: Но: р < 48.2 H1:µ > 48.2 Your sample consists of 23 values, with a sample mean of 49.6. Suppose the population standard deviation is known to be 2.99. a) Calculate the value of the test statistic, rounded to 2 decimal places. = Z b) At a = 0.03, the rejection region is O z < -1.88 O z > 1.88 Oz < -2.17 or z > 2.17 z < -2.17 z < -1.88 or z > 1.88 z > 2.17 c) The decision is to Accept the alternative hypotheis O Fail to reject the null hypothesis Reject the null hypothesis O Accept the null hypothesis d) Suppose you mistakenly rejected the null hypothesis in this problem, what type of error is that? O Type I Туре II
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