**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 number of hours spent exercising per week for a random sample of people exercising in a gym. 1, 5, 9, 10, 8, 9, 12, 15, 25, 12 (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!** In a Calculus 1 class, [a]% of the students are failing. Of the failing students, only [b]% of them do their homework. Of the passing students, [c]% of them do their homework. Suppose that a student from the class has been randomly selected, and it turns out they do their homework. What is the probability that the student is failing? (Round to 3 decimal places as needed).

As a person suddenly moves from a seated position to standin…

As a person suddenly moves from a seated position to standing, blood is pulled towards the feet by gravity reducing blood pressure, and can cause a person to feel faint (lightheaded or dizzy). In response, the heart rate increases, which in turn will increase blood pressure.   Student A claims that this is an example of positive feedback, and student B claims it is negative feedback. Do you agree with student A or B? Explain why with details supporting your stance.