Question 326798: 8. In order to test H0: μ = 40 versus H1: μ > 40, a random sample of size n = 25 is obtained from a population that is known to be normally distributed.
a) If the sample mean is determined to be 42.3 and s = 4.3, compute the test statistic.
b) If the researcher decides to test this hypothesis at the α = 0.1 level of significance, determine the critical value.
c) Draw a normal curve that depicts the critical region.
d) Will the researcher reject the null hypothesis?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! In order to test H0: μ = 40 versus H1: μ > 40, a random sample of size n = 25 is obtained from a population that is known to be normally distributed.
a) If the sample mean is determined to be 42.3 and s = 4.3, compute the test statistic.
t(42.3) = (42.3-40)/[4.3/sqrt(25)] = 2.6744
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b) If the researcher decides to test this hypothesis at the α = 0.1 level of significance, determine the critical value.
CV = invT(0.975 when df = 24) = 2.0639
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c) Draw a normal curve that depicts the critical region.
I'll leave that to you.
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d) Will the researcher reject the null hypothesis?
Since the test stat is in the reject interval, reject Ho.
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Cheers,
stan H.
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