Question 2 Part a) Calculate the statistic, set up the rejection region, interpret the result, and draw...

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Question 2
Part a)
Calculate the statistic, set up the rejection region,interpret the result, and draw the sampling distribution.
i)
ii)
Part b)
H0: H1:
Given that: ?=10, n=100,
H0: H1:
Given that: ?=15, n=100,
?=10 ??10
X =10, ?=0.05. ?=50
?<50
X =48, ?=0.05.
A statistics practitioner is in the process of testing todetermine whether is enough evidence to infer that the populationmean is different from 180. She calculated the
mean and standard deviation of a sample of 200 observations asX =175 and s=22.
Calculate the value of the test statistic of the test requiredto determine whether there is enough evidence to infer at the 5%significance level that the population mean is different from180.

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