The scores of a certain population on the Wechsler Intelligence Scale for Children (WISC) are thought to be Normally distributed, with mean μ and standard deviation σ = 10. I wish to test whether the mean for this population differs from the national average of 100, so I use the hypotheses H0: μ = 100 and Ha: μ ≠ 100, based on an SRS of size 25 from the population. I calculate a 95% confidence interval for μ and find it to be 100.76 to 106.24. Which of the following is true?

A. I would reject H0 at level .05.
B. I would reject Ha at level .05.
C. The P-value is .05.
D. A mistake has almost certainly been made. The confidence interval must contain μ = 100 at least 95% of the time.

Question

The scores of a certain population on the Wechsler Intelligence Scale for Children (WISC) are thought to be Normally distributed, with mean μ and standard deviation σ = 10. I wish to test whether the mean for this population differs from the national average of 100, so I use the hypotheses H0: μ = 100 and Ha: μ ≠ 100, based on an SRS of size 25 from the population. I calculate a 95% confidence interval for μ and find it to be 100.76 to 106.24. Which of the following is true?

A.	I would reject H0 at level .05.
B.	I would reject Ha at level .05.
C.	The P-value is .05.
D.	A mistake has almost certainly been made. The confidence interval must contain μ = 100 at least 95% of the time.