The following review is cumulative and contains material from chapters 1 - 5. It will help you to prepare for the upcoming Mid-Term Exam. You can print it out and startsolving it at your own pace. You will need to email me your full solutions and post your final answers in "fill in the blanks" form that will be posted later.The deadline is on or before Wednesday, June 19th, midnight.
FYI, full solutions to this assignment will be posted right before the Midterm Exam.
Good Luck !MAT 150 Review Exercises for Mid-Term Exam MAT 150 Review Exercises for Mid-Term Exam Name: ______________________ Instructions. Please solve ALL exercises and bring the complete solution to the Mid-Term Exam. Show all work. Do not use your notes, textbook, or any other resources. Use calculator only. 1. The heights in inches of commonly grown herbs are shown below. Organize the data into a frequency distribution with six classes, and think of a way in which these results would be useful. 16 24 12 14 26 12 15 13 21 25 28 22 19 28 18 16 16 21 9 16 · Construct a frequency polygon and histogram for the data. · Construct stem-and-leaf and dotplot diagrams. 2. According to the American Manufacturer’s Association, very few shoppers actually use manufacturer’s cents-off coupons. The total value of coupons redeemed by 12 people observed shopping at a local supermarket was as follows: 40c 65c $1.05 45c 25c 65c 35c 30c 30c 70c 85c 45c Calculate the mean, median, and modal redemption value of the coupons. Which is more useful to a manufacturer? 3. As an incentive to attract additional customers, one Caribbean hotel recently installed a toll-free 800 phone number. During the first three weeks of its operation, the hotel received the following number of requests for additional information on a daily basis: 24 26 29 29 27 30 25 28 18 31 27 21 22 20 20 22 32 28 22 20 29 · Find the lower quartile for the data. · Find the upper quartile for the data. · Find the interquartile range. · Draw the box-and-whisker diagram for the data. 4. The IQ of 50 students in the fifth grade of a special school was measured. The results are as follows: IQ score Frequency 71 - 79 2 80 - 88 8 89 - 97 10 98 - 106 12 107 - 115 6 116 - 124 8 125 - 133 4 Compute the sample variance and sample standard deviation. 5. A random sample of 250 adults was taken, and they were asked whether they prefer watching sports or opera on TV. The following table gives the two-way classification of these adults. Prefers Watching Sports Prefers Watching Opera Male 92 26 Female 48 84 If one adult is selected at random from this group, find the probability that this adult: i. prefers watching opera ii. is a male iii. prefers watching sports given that the adult is a female iv. is a male given that he prefers watching sports v. is a female and prefers watching opera vi. prefers watching sports or is a male 6. A student is to select three courses for next semester. If this student decides to randomly select one course from each of seven economic courses, nine mathematics courses, and four computer courses, how many different outcomes are possible? 7. On November 1, 1995, the Emerson Medical Laboratories received blood samples from 122 patients. Ed and seven other patients had a blood serum cholesterol level of 281, whereas 78 others had a cholesterol level below 281. Find Ed’s percentile rank. Hint: To get more accurate results, use formula % 100 5 . 0 × + N E B , where B – number of terms below the given score, E – number of terms equal to the given score, N – total number of terms. 8. Mr. and Mrs. Anderson plan on having three children born in different years. Construct a tree diagram and show all of the possible arrangements of boy and girl children, where B represents a boy and G represents a girl. What is the probability that Mr. and Mrs. Anderson will have: a) all girls? b) at least one boys? 9. A jar contains two blue and five green marbles. A marble is drawn at random and then replaced. A second marble drawn at random. For each of the following, find the probability that: a) both marbles are blue b) both marbles are the same color c) the marbles are different in color 10. How many different four-digit numbers greater that 4000 can be formed from the digits {3, 4, 8, 9}, if : · Repetition is allowed · Repetition is not allowed. 11. Heather has been advised by her counselor that in order to graduate in June she must complete one course from each of the three categories below: A B C