**YOU ARE REQUIRED TO SHOW WORK FOR THIS QUESTION TO RECEIVE…

**YOU ARE REQUIRED TO SHOW WORK FOR THIS QUESTION TO RECEIVE CREDIT!** The following data represents the IQ scores of 11 randomly selected Americans. 81   92   98   100   102   102   103   106   108   111   126 (Round to 3 decimal places as needed)   a. Calculate the mean [a] b. Calculate the variance [b] c. Provide the 5-number summary (put your values in order from least to greatest)  [c]   [d]   [e]   [f]   [g] e. Calculate the IQR [h] f. Calculate the lower fence [i] g. Calculate the upper fence [j] h. List any outliers (leave blank if no outliers; if there are multiple, separate them with commas) [k]

**YOU ARE REQUIRED TO SHOW WORK FOR THIS QUESTION TO RECEIVE…

**YOU ARE REQUIRED TO SHOW WORK FOR THIS QUESTION TO RECEIVE CREDIT!** The midterm scores of an Introductory Statistics class are bell-shaped, with a mean of 79 and a standard deviation of 7. (Round to 3 decimal places as needed)   a. Calculate the z-score of a student scoring an 91 on the midterm. [a] b. Approximately what percentage of students scored between a 58 and 86? [b] c. Approximately what percentage of students scored above a 93? [c]

**YOU ARE REQUIRED TO SHOW WORK FOR THIS QUESTION TO RECEIVE…

**YOU ARE REQUIRED TO SHOW WORK FOR THIS QUESTION TO RECEIVE CREDIT!** A student is selecting courses to take next semester. The probability that the student chooses to take Algebra is 0.45, the probability that the student chooses to take English is 0.58, and the probability that the student chooses to take both Algebra and English is 0.36. (Round to three decimal places as needed.)   a. What is the probability that the student chooses to take Algebra or English? [a] b. What is the probability that the student chooses to take Algebra but does not take English? [b] c. Based off your answer for part b, would it be unusual for the student to take Algebra but not take English? [c] (yes/no), because the probability is [d] (less than/more than) 0.05. d. If we know that the student chose to take Algebra, what is the probability that the student also chose to take English? [e]

**YOU ARE REQUIRED TO SHOW WORK FOR THIS QUESTION TO RECEIVE…

**YOU ARE REQUIRED TO SHOW WORK FOR THIS QUESTION TO RECEIVE CREDIT!** A student is selecting courses to take next semester. The probability that the student chooses to take Algebra is 0.56, the probability that the student chooses to take English is 0.34, and the probability that the student chooses to take both Algebra and English is 0.31. (Round to three decimal places as needed.)   a. What is the probability that the student chooses to take Algebra or English? [a] b. What is the probability that the student chooses to take English but does not take Algebra? [b] c. Based off your answer for part b, would it be unusual for the student to take English but not take Algebra? [c] (yes/no), because the probability is [d] (less than/more than) 0.05. d. If we know that the student chose to take English, what is the probability that the student also chose to take Algebra? [e]