MATH 1280 Self-Quiz Unit 7 (100%) _ Harvard University

Recall that the population average of the heights in the file "" is μ = 170.035. Using simulation it can be shown that the probability of the sample average of the height falling within 2 centimeter of the population average is approximately equal to 0.925. From the simulations we also got that the standard deviation of the sample average is (approximately) equal to 1.122. In the next 3 questions you are asked to apply the Normal approximation to the distribution of the sample average using this information. The answer may be rounded up to 3 decimal places of the actual value: Question 1 Correct Question text Using the Normal approximation, the probability that sample average of the heights falls within 2 centimeter of the population average i