(1 point) A random sample of 100 observations from a population with standard de
ID: 3268028 • Letter: #
Question
(1 point) A random sample of 100 observations from a population with standard deviation 22.01 yielded a sample mean of 94.2. 1. Given that the null hypothesis is =90 and the alternative hypothesis is >90 using =.05, find the following: (
a) Test statistic =
(b) P - value:
(c) The conclusion for this test is:
A. Reject the null hypothesis
B. There is insufficient evidence to reject the null hypothesis
C. None of the above
2. Given that the null hypothesis is =90 and the alternative hypothesis is 90 using =.05, find the following:
(a) Test statistic =
(b) P - value:
(c) The conclusion for this test is:
A. There is insufficient evidence to reject the null hypothesis
B. Reject the null hypothesis
C. None of the above
Explanation / Answer
1) z(94.2) = (94.2-90)/(22.01/sqrt(100) = 1.908
P-value = P(z > 1.908 ) = 0.0564
Do not reject the null hypothesis
2)Test statistic::
z(94.9) = 1.908
p-value = 2*P(z > 1.908) = 0.1128
Don not reject the null hypothesis.
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