Ho:µ < 17.2 H1:µ > 17.2 Your sample consists of 30 values, with a sample mean of 18.4. Suppose the population standard deviation is known to be 2.86. a) Calculate the value of the test statistic, rounded to 2 decimal places. z = b) At a = 0.03, the rejection region is Oz< -2.17 or z > 2.17 Oz < -2.17 Oz> 1.88 O z > 2.17 Oz < -1.88 or z > 1.88 O z < -1.88 c) The decision is to O Accept the alternative hypotheis Fail to reject the null hypothesis O Reject the null hypothesis O Accept the null hypothesis

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HYPOTHESIS TESTING

Но: и < 17.2
H1:µ > 17.2
Your sample consists of 30 values, with a sample mean of 18.4. Suppose the
population standard deviation is known to be 2.86.
a) Calculate the value of the test statistic, rounded to 2 decimal places.
= Z
b) At a = 0.03, the rejection region is
Oz < -2.17 or z > 2.17
O z < -2.17
or
O z > 1.88
Oz > 2.17
O z < -1.88 or z > 1.88
O z< -1.88
c) The decision is to
O Accept the alternative hypotheis
O Fail to reject the null hypothesis
O 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
O Type II
Transcribed Image Text:Но: и < 17.2 H1:µ > 17.2 Your sample consists of 30 values, with a sample mean of 18.4. Suppose the population standard deviation is known to be 2.86. a) Calculate the value of the test statistic, rounded to 2 decimal places. = Z b) At a = 0.03, the rejection region is Oz < -2.17 or z > 2.17 O z < -2.17 or O z > 1.88 Oz > 2.17 O z < -1.88 or z > 1.88 O z< -1.88 c) The decision is to O Accept the alternative hypotheis O Fail to reject the null hypothesis O 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 O Type II
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