Data for problems 7-9 (5 points each). In a recent survey, 20% of Kent State students prefer to eat lunch at the Market (MKT) located on the 2nd floor Student Center, and 40% prefer the Eastway Fresh Food Company (EFF) located on the 2nd floor of the Eastway Center. The Survey also found that 5 % of the students equally prefer both MKT and EFF. (Hint: Joint, Marginal and Conditional probability) EFF KT MKT and EFF HINT: 7. What percentage of those Kent State students who prefer EFF also prefer MKT? Let MKT the event that a KSU student prefers KSC, the event that a KSU student prefers Eastway. and EFF 7. Answer: P (MKT or EFF)P(MKT)+ P(EFF)-P(MKT and EFF) 8 What percentage of Kent State students DO NOT prefer EFF? 8. Answer: 9. What percentage of Kent State students prefer EFF OR MKT OR both? 9.Answer Suppose you randomly selected a 10. (5 points ) It is estimated that 60% of the students on Kent Campus are commuter students. sample of 200 students on campus Sample: n Population: Kent State students on campus X= 11= a student on campus is a commuter student. Let: X=the random variable representing the number of commuter students in the sample (COUNT) Parameters: the proportion of the commuter students p X-Binomial (n, p) 10a. Answer: (2 points) On average (mean), how many commuter students will be in your sample? a. (3 points) What is the standard deviation of the number of commuter students in your sample? b. 10b. Answer: 11. (15 points ) It is estimated that 60 % of the students on Kent Campus are commuter students. Suppose you randomly selected a sample of 200 students on campus. What is the probability that more than 70 % (0.70) of your sample are commuter students? HINT: Large sample proportion-use Normal approximation. Show the details of your calculations below. Sample: n = Population: Kent State students on campus (X= 11= a student on campus is a commuter student. Let: p the proportion of commuter students in the sample If the sample size n is sufficiently large, then p-NORMAL (Hp Op) Parameters: p= the proportion of the commuter students p- (2 points) Verify that Normal approximation is appropriate. a. ;Normal approximation is appropriate: YES or NO. (Circle one) n(1-p)= 2 Fall 2019, Data for problems 7-9 (5 points each). In a recent survey, 20% of Kent State students prefer to eat lunch at the Market (MKT) located on the 2nd floor Student Center, and 40% prefer the Eastway Fresh Food Company (EFF) located on the 2nd floor of the Eastway Center. The Survey also found that 5 % of the students equally prefer both MKT and EFF. (Hint: Joint, Marginal and Conditional probability) EFF KT MKT and EFF HINT: 7. What percentage of those Kent State students who prefer EFF also prefer MKT? Let MKT the event that a KSU student prefers KSC, the event that a KSU student prefers Eastway. and EFF 7. Answer: P (MKT or EFF)P(MKT)+ P(EFF)-P(MKT and EFF) 8 What percentage of Kent State students DO NOT prefer EFF? 8. Answer: 9. What percentage of Kent State students prefer EFF OR MKT OR both? 9.Answer Suppose you randomly selected a 10. (5 points ) It is estimated that 60% of the students on Kent Campus are commuter students. sample of 200 students on campus Sample: n Population: Kent State students on campus X= 11= a student on campus is a commuter student. Let: X=the random variable representing the number of commuter students in the sample (COUNT) Parameters: the proportion of the commuter students p X-Binomial (n, p) 10a. Answer: (2 points) On average (mean), how many commuter students will be in your sample? a. (3 points) What is the standard deviation of the number of commuter students in your sample? b. 10b. Answer: 11. (15 points ) It is estimated that 60 % of the students on Kent Campus are commuter students. Suppose you randomly selected a sample of 200 students on campus. What is the probability that more than 70 % (0.70) of your sample are commuter students? HINT: Large sample proportion-use Normal approximation. Show the details of your calculations below. Sample: n = Population: Kent State students on campus (X= 11= a student on campus is a commuter student. Let: p the proportion of commuter students in the sample If the sample size n is sufficiently large, then p-NORMAL (Hp Op) Parameters: p= the proportion of the commuter students p- (2 points) Verify that Normal approximation is appropriate. a. ;Normal approximation is appropriate: YES or NO. (Circle one) n(1-p)= 2 Fall 2019