215 HW#2, Summer 2011

# 215 HW#2, Summer 2011 - Homework#2(45 points STA 215...

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Homework #2 (45 points) STA 215: Introductory Applied Statistics Name Spring/Summer 2011 1. The weights of three adult males are (in pounds) 160, 215, and 195. (a) Calculate the sample mean . (1 point) (b) Calculate the sample variance. (4 points) (c) The standard error of the mean of these three weights is ( ). (2 points) 2. Scores on the SAT Mathematics test (SAT-M) are believed to be normally distributed with mean μ . The scores of a random sample of three students who recently took the exam are 550, 620, and 480. Calculate a 95% confidence interval for . (a) Calculate the sample mean . (1 point) (b) Calculate the sample variance. (4 points) (c) The standard error of the mean of these three weights is ( ). (2 points) (d) Calculate a 95% confidence interval for . (4 points) 3. Do students tend to improve their SAT Mathematics (SAT-M) score the second time they take the test? A random sample of four students who took the test twice received the following scores. Student

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215 HW#2, Summer 2011 - Homework#2(45 points STA 215...

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