Math119Sols3S11

# Math119Sols3S11 - QUIZ 3 (CHAPTER 6) - SOLUTIONS MATH 119...

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QUIZ 3 (CHAPTER 6) - SOLUTIONS MATH 119 – SPRING 2011 – KUNIYUKI 105 POINTS TOTAL, BUT 100 POINTS = 100% Show all work, simplify as appropriate, and use “good form and procedure” (as in class). Box in your final answers! No notes or books allowed. A scientific calculator is allowed. Round off z scores to 2 decimal places; otherwise, write exact answers or round off calculations to at least four decimal places or at least four significant digits, whichever is more convenient. 1) (2 points). What is the standard deviation of the standard normal distribution? 1 2) (3 points). One million people have taken a particular standardized test. The distribution of test scores has mean 75 points and standard deviation 6 points. We will draw a random sample of 50 people who took the test and analyze their scores. Which of the following statements is true, based on the Central Limit Theorem (CLT)? Box in one: i. The probability distribution for the average test score for the 50 sampled people will be approximately normally distributed with a mean of 75 points. ii. The probability distribution for the average test score for the 50 sampled people will be approximately normally distributed with a standard deviation of 6 points. 3) (3 points). Based on our discussion in class, is it true that all binomial distributions can be approximated well by normal distributions? Box in one: Y e s N o The normal approximation is only appropriate for a binomial distribution if np ± 5 and nq ± 5.

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## This note was uploaded on 09/08/2011 for the course MATH 119 taught by Professor Staff during the Spring '11 term at Mesa CC.

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Math119Sols3S11 - QUIZ 3 (CHAPTER 6) - SOLUTIONS MATH 119...

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