Testing: Ho:H < 9.4 H1: p > 9.4 Your sample consists of 39 values, with a sample mean of 10.1. Suppose the population standard deviation is known to be 4.7. a) Calculate the value of the test statistic, rounded to 2 decimal places. b) At a = 0.025, the rejection region is Oz> 1.96 Oz< -2.24 or z > 2.24 Oz<-1.96 Oz< -1.96 or z> 1.96 Oz< -2.24 Oz> 2.24 c) The decision is to O Accept the alternative hypotheis O Accept the null hypothesis O Reject the null hypothesis O Fail to reject the null hypothesis

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Testing:
Ho: H < 9.4
H1:µ > 9.4
Your sample consists of 39 values, with a sample mean of 10.1. Suppose the population standard deviation
is known to be 4.7.
a) Calculate the value of the test statistic, rounded to 2 decimal places.
b) At a = 0.025, the rejection region is
O z> 1.96
Oz < -2.24 or z> 2.24
Oz < -1.96
Oz< -1.96 or z > 1.96
Oz< -2.24
Oz> 2.24
prio)
c) The decision is to
O Accept the alternative hypotheis
O Accept the null hypothesis
O Reject the null hypothesis
O Fail to reject the null hypothesis
Dook
d) Suppose you mistakenly failed to reject the null hypothesis in this problem, what type of error is that?
O Type II
O Type I
prms
Transcribed Image Text:Testing: Ho: H < 9.4 H1:µ > 9.4 Your sample consists of 39 values, with a sample mean of 10.1. Suppose the population standard deviation is known to be 4.7. a) Calculate the value of the test statistic, rounded to 2 decimal places. b) At a = 0.025, the rejection region is O z> 1.96 Oz < -2.24 or z> 2.24 Oz < -1.96 Oz< -1.96 or z > 1.96 Oz< -2.24 Oz> 2.24 prio) c) The decision is to O Accept the alternative hypotheis O Accept the null hypothesis O Reject the null hypothesis O Fail to reject the null hypothesis Dook d) Suppose you mistakenly failed to reject the null hypothesis in this problem, what type of error is that? O Type II O Type I prms
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