Review 1.1 A population in statistics means a collection of all a. Men and women b. Subjects or objects of interest c. People living in a country Review 1.2 A sample in statistics means a portion of the a. People selected from the population of a country b. People selected from the population of an area c. Population of interest Review 1.3 Indicate which of the following is an example of a sample with replacement and which is a sample without replacement. a. Five friends go to a livery stable and select five horses to ride. b. A box contains five marbles of different colors. A marble is drawn from this box, its color is recorded and it is put back in the box before the next marble is drawn. The experiment is repeated 12 times. Review 1.4 Indicate which of the following variables are quantitative and which are qualitative. Classify the quantitative variables as discrete or continuous. a. Women’s favorite TV programs. b. Salaries of football players. c. Number of pets owned by families. d. Favorite breed of dog for each of 20 persons. Review 2.2 The following table gives the frequency distribution of times that 90 fans spent waiting in line to by tickets. Hours waiting Frequency 0-6 5 7-13 27 14-20 30 21-27 20 28-34 8 The number of classes in the table = Review 2.2 Hours waiting Frequency 0-6 5 7-13 27 14-20 30 21-27 20 28-34 8 The class width = The midpoint of the third class = The lower boundary of the second class = Review 2.2 Hours waiting Frequency 0-6 5 7-13 27 14-20 30 21-27 20 28-34 8 The upper limit of the second class = The sample size = The relative frequency of the second class = Review 2.5 A large Midwestern city has been chronically plagued by false fire alarms. The following data set gives the number of false alarms set off each week for a 24week period in this city. 10 12 5 4 11 1 8 8 14 7 1 5 3 6 15 7 5 3 10 13 2 9 6 7 Review 2.5 10 12 5 i) ii) 4 11 1 8 8 14 7 1 5 3 6 15 7 5 3 10 13 2 9 6 7 Construct a frequency distribution table. Take 1 as the lower limit and 3 as the width of each class. Calculate the relative frequencies and percentages for all classes. Review 3.1 The value of the middle term in a ranked data set is called the a) Mean b) Median c) Mode Review 3.2 Which of the following measures is/are influenced by extreme values (outliers)? a) Mean b) Median c) Mode d) Range Review 3.3 Which of the following summary measures can be calculated for qualitative data? a) Mean b) Median c) Mode Review 3.4 Which of the following can have more than one value? a) Mean b) Median c) Mode Review 3.5 Which of the following is obtained by taking the difference between the largest and smallest values of the data set? a) Variance b) Range c) Mean Review 3.6 Which of the following is the mean of the squared deviations of x values from the mean? a) Standard Deviation b) Population Variance c) Sample Variance Review 3.7 The values of the variance and standard deviation are a) Never negative b) Always positive c) Never zero Review 3.8 A summary measure calculated for the population data is called a) A population parameter b) A sample statistic c) An outlier Review 3.9 A summary measure for the sample data is called a) A population parameter b) A sample statistic c) An outlier Review 3.10 Chebyshev’s theorem can be applied to a) Any distribution b) Bell-shaped distributions only c) Skewed distributions only Review 3.11 The empirical rule can be applied to a) Any distribution b) Bell-shaped distributions only c) Skewed distributions only Review 3.15 Calculate the mean, median, mode, range, variance, and standard deviation for the following sample data. 9 18 6 7 28 3 14 16 2 6 Review 3.19 The following table gives the frequency distribution of the numbers of computers sold during the past 25 weeks at a computer store. Computers Sold Frequency 4 to 9 2 10 to 15 4 16 to 21 10 22 to 27 6 28 to 33 3 Calculate the mean, variance, and standard deviation. Review 3.20 The cars owned by all people living in a city are, on average, 7.3 years old with a standard deviation of 2.2 years. Using Chebyshev’s theorem, find a least what percentage of the cars in the city are i) 2.32 to 12.28 years old ii) .7 to 13.9 years old Review 3.21 The ages of cars owned by all people living in a city have a bell-shaped distribution with a mean of 7.3 years and a standard deviation of 2.2 years. Using the empirical rule, find the percentage of cars in this city that are i) 5.1 to 9.5 years old ii) .7 to 13.9 years old Review 4.1 The collection of all outcomes for an experiment is called a) A sample space b) The intersection of events c) Joint probability Review 4.2 A final outcome of an experiment is called a) A compound event b) A simple event c) A complementary event Review 4.3 A compound event includes a) All final outcomes b) Exactly two outcomes c) More than one outcome for an experiment Review 4.4 Two equally likely events a) Have the same probability of occurrence b) Cannot occur together c) Have no effect on the occurrence of each other Review 4.5 Which of the following probability approaches can be applied only to experiments with equally likely outcomes? a) Classical probability b) Empirical probability c) Subjective probability Review 4.6 Two mutually exclusive events a) Have the same probability b) Cannot occur together c) Have no effect on the occurrence of each other. Review 4.7 Two independent events a) Have the same probability b) Cannot occur together c) Have no effect on the occurrence of each other. Review 4.8 The probability of an event is always a) Less than 0 b) In the range 0.0 to 1.0 c) Greater than 1.0 Review 4.9 The sum of the probabilities of all final outcomes of an experiment is always a) 100 b) 1 c) 0 Review 4.10 The joint probability of two mutually exclusive events is always a) 1.0 b) Between 0 and 1 c) 0 Review 4.11 Two independent events are a) Always mutually exclusive b) Never mutually exclusive c) Always complementary Review 4.12 A couple is planning their wedding reception. The bride’s parents have given them a choice of four reception facilities, three caterers, five DJ’s, and two limo services. If the couple randomly selects one reception facility, one caterer, one DJ, and one limo service, how many different outcomes are possible? Review 4.13 Lucia graduate this year with an accouting degree from Eastern Connecticut State University. She has received job offers from an accounting firm, an insurance company, and an airline. She cannot decide which of the three job offers she should accept. Suppose she decides to randomly select on of these job offers. Find the probability that the job offer selected is From the insurance company Not from the accounting firm. Review 4.14 There are 200 students in a particular graduate program at a state university. Of them, 110 are female and 125 are out-of-state students. Of the 100 females, 70 are out-of-state students. a) Are the events “female” and “out-of-state student” independent? Mutually exclusive? b) If one of these 200 students is selected at random, what is the probability that the student selected is male? Out-of-state given she is female? Out-of-state or female? c) 2 are selected and both are out of state? Review 2.17 The probability that an adult has ever experienced a migraine headache is .35. If two adults are randomly selected, what is the probability that neither of them has ever experienced a migraine headace? Review 4.18 A hat contains 5 green, 8 red, and seven blue marbles. Let A be the even that a red marble is drawn if we randomly select one marble out of the hat. What is the probability of A? What is the complementary event of A? What is its probability? Review 4.19 The probability that a randomly selected student from a college is a female is .55 and the probability that a student works for more than 10 hours per week is .2. If these two events are independent, find the probability that a randomly selected student is a) Male and works for more than 10 hours per week. b) Female or works for more than 10 hours per week Review 4.20 A sample was selected of 506 workers who currently receive two weeks of paid vacation per year. These workers were asked if they were willing to accept a small pay cut to get an additional week of paid vacation a year. The following table shows the responses of these workers. Review 4.20 Yes No No Response Man 77 140 32 Woman 104 119 34 a) If one person is selected at random from these 506 workers, find the probability that i) P(yes) ii)P(yes | woman) iii)P(woman and no) iv)P(no response or woman) b) Are the events “woman” and “yes” independent? Mutually exclusive?