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Problem 1: Samples of size n = 15 are randomly selected from the population of numbers (0 through 9) produced by a random-number generator, and the standard deviation is found for each sample. What is the distribution of the sample standard deviations?
Option 1: not enough information provided
Option 2: skewed to the left
Option 3: skewed to the right
Option 4: normal (approximately)
Problem 2: A math teacher gives two different tests to measure students' aptitude for math. Scores on the first test are normally distributed with a mean of 23 and a standard deviation of 4.2. Scores on the second test are normally distributed with a mean of 71 and a standard deviation of 10.8. Assume that the two tests use different scales to measure the same aptitude. If a student scores 29 on the first test, what would be his equivalent score on the second test?
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