Stat I – Cumulative Assignment for Chapters 1 – 3 Your Name ____________________ Instructions: Complete the problems below and submit your answers as ONE PDF file. You can use this sheet as a template...

The worksheet attached below


Stat I – Cumulative Assignment for Chapters 1 – 3Your Name ____________________ Instructions: Complete the problems below and submit your answers as ONE PDF file. You can use this sheet as a template or just write your answers on a separate piece of paper. (If you do that, you do not need to copy the problem statement.) You must put your name on each sheet of paper you submit. Note: you can use any Excel spreadsheet for calculation. If you do, just write “Used Excel”. Problem 1 A group of test subjects is divided into twelve groups; then four of the groups are chosen at random. What type of sampling is this? (simple random, stratified, systematic, cluster, or convenience) ANSWER: Problem 2 Fifty part-time students were asked how many courses they were taking this term. Here are partial results of this survey: Courses Frequency Rel.Freq. Cum.Rel.Freq. 1 30 0.6 2 15 3 Total Part(a): Complete the table above. Part(b): What percent of students take exactly two courses? ANSWER: Part(c): What percent of students take one or two courses? ANSWER: Problem 3 Find the mean of the following frequency table: Grade Frequency 49.5 – 59.5 2 59.5 – 69.5 3 69.5 – 79.5 8 79.5 – 89.5 12 89.5 – 99.5 5 ANSWER: Problem 4 Three students were applying to the same graduate school. They came from schools with different grading systems. Which student had the best GPA when compared to other students at his school? Show how you arrive at your answer. Student GPA School average School standard deviation Thuy 2.7 3.2 0.8 Vichet 87 75 20 Kamala 8.6 8 0.4 ANSWER: Problem 5 Twenty-five randomly selected students were asked the number of movies they watched the previous week. The results are shown in this table. # movies Frequency 0 5 1 9 2 6 3 4 4 1 (a) Find the mean number of movies watched: ANSWER: (b) Find the standard deviation of the number of movies watched: ANSWER: Problem 6 U and V are mutually exclusive events with P(U) = 0.26 and P(V) = 0.37. (a) Find P(U and V) ANSWER: (b) Find P(U or V) ANSWER: Problem 7 C and D are events with P(C) = 0.4 and P(D) = 0.5 and P(C|D) = 0.6. For each part, show how you derive your answer. Show formulas if appropriate. (a) Find P(C and D) ANSWER: (b) Find P(D|C) ANSWER: Problem 8 A college finds that 10% of students have taken a distance learning class and that 40% of students are part time students. Of the part time students, 20% have taken a distance learning class. Let D = the event that a student has taken a distance learning class and E = the event that a student is a part time student. For each part, show how you derive your answer. Show formulas if appropriate. (a) Find P(D and E): ANSWER (b) Find P(D or E): ANSWER