The scores of a certain population on the Wechsler Intelligence Scale for Childr

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. A simple random sample of 25 children from this population is taken and each is given the WISC. The mean of the 25 scores is = 104.32.

Based on these data, a 95% confidence interval for is

104.32 ± 0.78.

104.32 ± 3.29.

104.32 ± 3.92.

104.32 ± 19.60

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. A simple random sample of 25 children from this population is taken and each is given the WISC. The mean of the 25 scores is = 104.32.

Based on these data, a 95% confidence interval for is

104.32 ± 0.78.

104.32 ± 3.29.

104.32 ± 3.92.

104.32 ± 19.60

Explanation / Answer

Given Mean =104.32

standard deviation =10

sample size n=25

At 95% confidence, critical value is 1.96

Therefore confidence interval is given by ±1.96(/n)

                                                           =104.32±1.96(10/25)

                                                           =104.32±1.96*2

                                                           =104.32±3.92

So the required answer is 104.32±3.92

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