2. On a recent Statistics test the grades were normally distributed. 68% of the students scored between an 80 and a 90. There are 150 students taking statistics. (a) What is the mean for the distribution of grades in this course?

(b) What is the standard deviation for distribution of grades?

(c) What is the z score for a student who scores a 95?

(d) What is the z score for a student who scores a 28?

(e) What are the maximum and minimum for the central 68% of students’ scores?

(f) What are the maximum and minimum for the central 99.7% of students’ scores?

(gi) What % of the students scored above 90?

(h) What % of students passed the exam (greater than a 70)?

(i) How many students passed the exam?

(j)What is the grade of a student at the 80th percentile?

(i) What is the grade of a student at the 50th percentile?

(k) How many of the students scored between 80 and 90? (hint: first, find the percentage)

You and three friends will be going out to eat at your favorite restaurant! each of you will order three items of your choice. you will also need to leave a tip. if you split the bill evenly among all four of you, how much will each person need to contribute? locate a menu for your favorite restaurant and pick three items for yourself and each friend. list the restaurant name, items, and prices in a table like the one below. in the column labeled subtotal, determine the cost of each person’s order. the customary tip is 20% of the total bill. in the column labeled tip, calculate the amount of tip each person should leave. in the column labeled total bill, determine the total of each person’s order, including the tip. restaurant name: names item 1 price item 2 price item 3 price subtotal tip total bill your name friend #1 friend #2 friend #3 part 2: questions answer the following questions, showing all work: what is the total cost of the entire bill (all four meals), including tip? write an expression using fractions to show how to determine the amount that each person will pay. then calculate each person's contributions showing all steps in long division. if each person paid an equal amount, who would save the most money? explain your reasoning using at least two complete sentences.