14. At the local university a survey was being done on whether or not the students liked the cafeteria food. The survey was located in the college newspaper and was to be filled out and sent to the editing office. Identify the type of sampling used in this example. (a) Cluster sampling (b) Stratified sampling (c) Systematic sampling (d) Simple random sampling (c) Voluntary response sampling 15. An auto insurance company was interested in investigating accident rates for drivers in different age groups. The following contingency table was based on a random sample of drivers and classifics drivers by age group and number of accidents in the past three years. Age Group 45 Number of accidents in past 3 years 106 134 292 5 32 55 69 76 200 > 1 11 28 4 43 172 If one of these drivers is selected at random, find the probability that the person has had no accidents in the last three years or is younger than 25. Round your answer to two decimal places. (If none of the choices given below gives the exact answer, please pick the closest valuc.) P (A ) = no ace in 3 y (a) 0.91 D ( B ) = you M 25 (b ) 0.63 0.77 (d) 0.14 P ( A ) = 0. 68 645 (c) 0.82 8 ( B ) = 0. 221912. An education researcher was interested in examining the effect of the teaching method and the effect of the particular teacher on students' scores on a reading test. In a study, there are four different teachers (Juliana, Felix, Sonia, and Helen) and three different teaching methods (A, B, and C). The number of students participating in the study is 258. Students are randomly assigned to a teaching method and teacher. Those who studied with Sonia using method B achieved the highest scores. Identify the response variable measured in this study. (a) The education researcher (b) Score on reading test (c) Teacher (d) Teaching method (c) Method A, method B, method C 13. A researcher wants to investigate whether different forms of exercise can be used to help hyperactive children. A group of 90 children is divided into two groups according to age - those aged 9-12 and those aged 5-9. Within each age group the children are randomly assigned to one of three groups. The first group will just do their normal exercise. The second group will be given an additional exercise routine (moderate). The third group will be given an additional exercise routine (strenuous). At the end of a four month period parents will be asked to evaluate their children's progress. Identify the factor(s) and any blocking variables and the number of levels for cach. (a) Factor: exercise (3 levels), Blocking variable: age (2 levels) (b) Blocking variable: exercise (3 levels), Factor: age (2 levels) (c) Factor: exercise (3 levels), Factor: age (2 levels) (d) Normal exercise and age 5-9, additional exercise (moderate) and age 5-9, addi- tional exercise (strenuous) and age 5-9, normal exercise and age 9-12, additional exercise (moderate) and age 9-12, additional exercise (strenuous) and age 9-12 (6 levels) (C) Factor: Normal exercise, additional exercise (moderate), additional exercise (strenuous) (3 levels) 616. Suppose that the probability of germination of a beet seed is 0.7. Assume that the germination of one seed is independent of the germination of another seed, If we plant ten seeds, find the probability that exactly seven of them will germinate. Note: Please do not use any statistical tables for this question. Round your answer to two decimal places. (If none of the choices given below gives the exact answer, please pick the closest value.) PTO . 7 (a) 0.02 n = 10 (b ) 0.27 (c) 0.12 (d ) 0.82 (6 ) 0.19 17. The random variable X has a binomial distribution with parameters n and p. i.c. X ~. Binomial(n, p). The mean and the standard deviation of X arc 1.8 and 1.2 respectively. What is the value of p? (a) 0.1 men = 1 8 P (b) 0.8 6 96 SP = 1. 2 X - 1. 8 (c) 0.67 - 02809 n = 2 1.2 (d) 0.2 (c) 0.33 18. Let A and B be two events in some random experiment. Which of the following statements regarding these events is/ are true? I) If A and B are disjoint then A and B are independent. X II) If A and B arc disjoint then P( A and B) = P(A) x P( B). III) If A and B are disjoint then P(A or B) = 1. (a) Only statement I is truc. (b ) Only statement II is truc. Only statement III is truc. ) More than one of these three statements is true. (c) None of these three statements is truc. 8