Question

The scores of a certain population on the Wechsler Intelligence Scale for Children (WISC) are thought to be Normally distributed, with mean ? and standard deviation ? = 10. I wish to test whether the mean for this population differs from the national average of 100, so I use the hypotheses H0: ? = 100 and Ha: ? ? 100, based on an SRS of size 25 from the population. I calculate a 95% confidence interval for ? and find it to be 95.76 to 106.24. Which of the following is true? A mistake has almost certainly been made—the confidence interval must contain ? = 100 at least 95% of the time. I would reject Ha at level 0.05. The P-value is 0.05. I would reject H0 at level 0.05.

          The scores of a certain population on the Wechsler Intelligence Scale for Children (WISC) are thought to be Normally distributed, with mean ? and standard deviation ? = 10. I wish to test whether the mean for this population differs from the national average of 100, so I use the hypotheses H0: ? = 100 and Ha: ? ? 100, based on an SRS of size 25 from the population. I calculate a 95% confidence interval for ? and find it to be 95.76 to 106.24. Which of the following is true? A mistake has almost certainly been made—the confidence interval must contain ? = 100 at least 95% of the time. I would reject Ha at level 0.05. The P-value is 0.05. I would reject H0 at level 0.05.

The scores of a certain population on the Wechsler Intelligence Scale for Children (WISC) are thought to be Normally distributed, with mean ? and standard deviation ? = 10. I wish to test whether the mean for this population differs from the national average of 100, so I use the hypotheses H0: ? = 100 and Ha: ? ? 100, based on an SRS of size 25 from the population. I calculate a 95% confidence interval for ? and find it to be 95.76 to 106.24. Which of the following is true? A mistake has almost certainly been made—the confidence interval must contain ? = 100 at least 95% of the time. I would reject Ha at level 0.05. The P-value is 0.05. I would reject H0 at level 0.05.

Added by Manuel M.

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