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The scores on the Wechsler Intelligence Scale for Children (WISC) are normally d

ID: 3157893 • Letter: T

Question

The scores on the Wechsler Intelligence Scale for Children (WISC) are normally distributed. I wish to test whether the true mean for a certain school, mu, differs from the national average of 100, so I use the hypotheses Ho: mu = 100 and Ha: mu notequalto 100 and take an SRS of size 25 from the school. First, I calculate a 95% confidence interval for mu and find it to be (112.87, 123.54). Which of the following conclusions about the null hypothesis would be statistically appropriate based on this interval? I would fall to reject Ho at alpha = 0.10 level. I would fall to reject Ho at alpha = 0.05 level. I would reject Ho at alpha = 0.05 level. The confidence interval is incorrect, so I should recalculate. I don't have enough information to get the conclusion.

Explanation / Answer

Since the confidence interval does not contain mu=100, the effect is significant and reject the null.

C.I would reject H0 at alpha=0.05 level.