ckboard X U @ B Q Remaining Time: 1 hour, 58 minutes, 48 seconds. Question Completion Status: Assume math scores on the SAT are normally distributed with a mean of 500 and a standard deviation of 100. a. What is the probability that one randomly selected individual taking the SAT will have a Math score of more than 520? b. What is the probability that one randomly selected individual taking the SAT will have a Math score between 460 and 580? C. Find the 80th percentile of these scores. d. If we draw a sample of size 25, find the standard deviation of the sampling distribution of X. QUESTION 15 In order to make an inference about the average time SHSU students check their emails, a sample of 9 students was surveyed for how many times a day they check their emails. The responses were recorded as 20, 19, 15, 13, 27, 29, 19, 22, 25. (Question) Find the sample standard deviation. Given X -21, _ x=189. > x2-4195. QUESTION 16 Click Save and Submit to save and submit. Click Save All Answers to save all answers. hp ? 13 f4 18 144 f10 a % 4 5 8Blackboard X - > X C @ 4 Q Remaining Time: 1 hour, 58 minutes, 54 seconds. Question Completion Status: For a given observation in a data set. The Z-score for this specific observation is 3. Select the answer that best describes the relative standing of this observation. O a. This observation is greater than the mean; the distance between the mean and this observation is 3 standard deviations. O b. This observation is smaller than the mean; the distance between the mean and this observation is (x - 3). O c. This observation is greater than the mean; the distance between the mean and this observation is (x - 3). O d. This observation is smaller than the mean; the distance between the mean and this observation is 3 standard deviations. QUESTION 13 For a given dataset, Mode is 31, Median is 27, and the Mean is 25. Select the answer that best describes the shape of the specific data set. O a. Right-skewed O b. Symmetric O c. Inverse symmetric O d. Left-skewed QUESTION 14 Assume math scores on the SAT are normally distributed with a mean of 500 and a standard deviation of 100. Click Save and Submit to save and submit. Click Save All Answers to save all answers. hp 13 6 0 7 110 144 a # % & 3 5 6 8 9