6. Statistical Literacy For a normal distribution, is it likely that a data value. selected at random is more than 2 standard deviations above the mean? 7. Statistical Literacy Give the formula for the standard error of the sample mean x distribution, based on samples of size.n from a distribution with standard deviation S. 8. Statistical Literacy Give the formula for the standard error of the sample proportion p distribution, based on n binomial trials with probability of success p on each trial. 9. Critical Thinking Let x be a random variable representing the amount of sleep each adult in New York City got last night. Consider a sampling distribution of sample means x. (a) As the sample size becomes increasingly large, what distribution does the & distribution approach? (b) As the sample size becomes increasingly large, what value will the mean mx of the x distribution approach? (c) What value will the standard deviation of the sampling distribution approach? (d) How do the two x distributions for sample size n 5 50 and n 5 100 compare? 10. Critical Thinking If x has a normal distribution with mean m 5 15 and standard deviation s 5 3, describe the distribution of x values for sample size n, where n 5 4, n 5 16 and n 5 100. How do the x distributions compare for the various sample sizes