1. At Abraham Lincoln High School an achievement test is used for college placement. Counselors selected a simple random sample of 15 students from the school and scored their tests by hand before sending them in for computer processing. For this sample, ?̅ =525 and ?=24. Assuming that the test scores are normally distributed, construct a 99% confidence interval for μ, the population mean score for Abraham Lincoln High School. a) Are the criteria for approximate normality satisfied? Explain. b) Determine the sample mean, sample standard deviation, and sample size. c) Determine the critical value that corresponds to the 99% level of confidence.

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