QUESTION 6 An experiment consists of randomly drawing cards, with replacement, from a deck of 5 cards numbered 1-5. Dene random variable X as the number on a randomly drawn card. The sample consists of 40 total card draws. Which of the following has a normal distribution, as a result of the Central Limit Theorem? 0 sample mean, X 0 a single observation, X_ l 0 sample variance, S 2 0 random variable, X QUESTION 7 An experiment consists of randomly drawing cards, with replacement, from a deck of 5 cards numbered 1-5. Dene random variable X as the number on a randomly drawn card. The sample consists of 40 total card draws. Which Of the following has an asymmetric distribution (eg. it could be close to a 1/2 distribution, i_e. "chi-squared")? 0 random variable, X 0 a single observation, X, I 0 sample mean, X 0 sample variance, 32 QUESTION 8 Which of the following is NOT true about the variance of the sample mean distribution? 0 the variance of the sample mean distribution characterizes the spread of the normal curve representing the probability densities for the sample mean O the variance of the sample mean distribution increases when the population variance increases O the variance of the sample mean distribution is determined from the chi-squared distribution 0 the variance Of the sample mean distribution decreases when the sample size increases