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 ī 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 O a. W = of O b. Z= O c. T= Let of = 36. What is the (appropriate) observed test statistic? Give answer to three decimal places. Finally, we will compute a 99% confidence interval for o?. What is the lower endpoint of this 99% confidence interval? Give answer to three decimal places. What is the upper endpoint of this 99% confidence interval? Give answer to three decimal places.
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 ī 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 O a. W = of O b. Z= O c. T= Let of = 36. What is the (appropriate) observed test statistic? Give answer to three decimal places. Finally, we will compute a 99% confidence interval for o?. What is the lower endpoint of this 99% confidence interval? Give answer to three decimal places. What is the upper endpoint of this 99% confidence interval? Give answer to three decimal places.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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 ī 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
O a. W =
of
O b. Z=
O c. T=
Let of = 36. What is the (appropriate) observed test statistic? Give answer to three decimal places.
Finally, we will compute a 99% confidence interval for o?.
What is the lower endpoint of this 99% confidence interval? Give answer to three decimal places.
What is the upper endpoint of this 99% confidence interval? Give answer to three decimal places.
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