1). Suppose that a normal population has mean u and standard deviation ơ = 0.5. How large a sample is needed so that a 2-sided 95% confidence interval for u has length L = 0.2643? A. 15 В. 28 С. 55 D. 220

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Problem 8. Multiple Choice. Circle the correct/best answer, partial credits will be given if
you show reasonable steps
1). Suppose that a normal population has mean u and standard deviation o = 0.5. How large a
sample is needed so that a 2-sided 95% confidence interval for u has length L = 0.2643?
A. 15
В. 28
С. 55
D. 220
2). Which of the following is NOT TRUE about the significance level a in hypothesis testing?
A. a = 0.01 requires stronger evidence for rejecting Ho than a = 0.05.
B. a is the probability or chance rejecting a true H«(Type II error).
C. We reject Ho if the p-value is less than a.
D. a = 0.05 means that 95% of all such hypothesis tests correctly retains Ho.
3). A least-squares regression analysis yields the line ŷ = 10.7 - 5.6x and R² = 81%. What is
the sample correlation between x and y?
A. -0.81
В. +0.90
C. +0.81
D. -0.90
Transcribed Image Text:Problem 8. Multiple Choice. Circle the correct/best answer, partial credits will be given if you show reasonable steps 1). Suppose that a normal population has mean u and standard deviation o = 0.5. How large a sample is needed so that a 2-sided 95% confidence interval for u has length L = 0.2643? A. 15 В. 28 С. 55 D. 220 2). Which of the following is NOT TRUE about the significance level a in hypothesis testing? A. a = 0.01 requires stronger evidence for rejecting Ho than a = 0.05. B. a is the probability or chance rejecting a true H«(Type II error). C. We reject Ho if the p-value is less than a. D. a = 0.05 means that 95% of all such hypothesis tests correctly retains Ho. 3). A least-squares regression analysis yields the line ŷ = 10.7 - 5.6x and R² = 81%. What is the sample correlation between x and y? A. -0.81 В. +0.90 C. +0.81 D. -0.90
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