3-3 Sampling Distributions and the Central Limit Theorem: Activity b. What is the chance of getting a sample mean of 85 days or more? Recall the steps to find aband probabilities using the normal distribution: O Draw a normal curve to represent this question. Find the z-score for 85. Use pnorm(z) in R. The proportion of sample means that are 85 days or more is c. Find the probability of getting a sample mean between 65 and 85 days. d. Estimate the 95th percentile of the sampling distribution from the graph, or find it using qnorm(area) as in Section 3-2. 6. In the boxplot of the sampling distributions, there are several outliers at both ends of the distri- bution. While the boxplot uses the 1.5IQR criterion to find outliers, another criterion is that values that are more than 2 standard deviations from the mean may be considered outliers. According to the empirical rule, approximately considered outliers. percent of observations are Learning Through Practice: Doing Statistics 117