Consider a random sample of size n from a normal distribution with unknown mean u and unknown variance o². Suppose the sample mean is X and the sample variance is S?. n = 16, the observed sample mean ī is 8.9. the observed sample variance s² is 25 and µo = 10.5. Suppose we now want to test Ho : o² = of versus H : o² + o3. Which of these test statistics should we use? Select one: O a. W = (n–1)8ª O b. Z = O. T= Let of = 36. What is the (appropriate) observed test statistic? Give answer to three decimal places. What is the p-value of the (appropriate) observed test statistic for testing Họ : o² = ož versus H1 : o² ± of you just computed? Give answer to three decimal places.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Consider a random sample of size n from a normal distribution with unknown mean u and unknown variance o?. Suppose the sample mean is
X and the sample variance is S?.
n = 16, the observed sample mean i is 8.9. the observed sample variance s? is 25 and 4o :
10.5.
Suppose we now want to test Ho : o? = of versus H1 : o? + of.
Which of these test statistics should we use?
Select one:
(n-1)s?
W =
of
a.
O b. Z
%3D
O c. T=
S/n
Let o = 36. What is the (appropriate) observed test statistic? Give answer to three decimal places.
What is the p-value of the (appropriate) observed test statistic for testing Ho : o? = of versus H1 : o? + of you just computed? Give answer
to three decimal places.
Transcribed Image Text:Consider a random sample of size n from a normal distribution with unknown mean u and unknown variance o?. Suppose the sample mean is X and the sample variance is S?. n = 16, the observed sample mean i is 8.9. the observed sample variance s? is 25 and 4o : 10.5. Suppose we now want to test Ho : o? = of versus H1 : o? + of. Which of these test statistics should we use? Select one: (n-1)s? W = of a. O b. Z %3D O c. T= S/n Let o = 36. What is the (appropriate) observed test statistic? Give answer to three decimal places. What is the p-value of the (appropriate) observed test statistic for testing Ho : o? = of versus H1 : o? + of you just computed? Give answer to three decimal places.
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