Question

A random sample of 61 fifth grade students was selected and given the Stanford-Binet IQ test. The mean score for the sample was 97, with an estimated standard error of the mean of 2.43. Estimate whether the sample mean could be representative of a population whose mean is 100.

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HD backlit display 5. A random sample of 61 fifth grade students was selected and given the Stanford-Binet IQ test. The mean score for the sample was 97, with an estimated standard error of the mean of 2.43. Estimate whether the sample mean could be representative of a population whose mean is 100. Sem 1 Coie 220-92 Lhiz

Answer 1

Here Sample mean t = 97 Standard error of mean S. E= 2.43 . population mean 412100. 957 confidence interval For All ir C-I- f X - Za/2 *SE 7+ Z12 *S.E 242 = 2005 - 20.028 = 1.96 (:10 (-:1-4=0.95 a=0.05 f C-I- 97 -1.96 * 2.43, 91+1.967 2:43] C-I = [ 92.2372, 101.7628] el=100 ties in the above confidence interval. => Sample mean is a representative of the population.