Name: STATISTICS Test 4 Part II 1 . With a known population mean of 1500, and a known standard error of the mean of 42.50, what is the probability of selecting at random a sample whose mean is equal to 1450 or less? 2. The standard deviation of the population of individual scores is 15. A random sample of ten scores yields a mean of 100. Calculate the standard error of the mean. 3. For the following set of sample scores, find the estimated standard error of the mean: 15, 14, 14, 13, 12, 12, 12, 11, 10, 9, 9. 4. For the following set of sample scores, estimate the population mean within a . 95 confidence interval: 15, 18, 12, 17, 19. 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