Review 1.1A population in statistics means a collection of alla. Men and womenb. Subjects or objects of interestc. People living in a country

Review 1.2A sample in statistics means a portion of thea. People selected from the population of a

countryb. People selected from the population of an

areac. Population of interest

Review 1.3Indicate 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 1.4Indicate 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.

The number of classes in the table =

Hours waiting Frequency

0-6 5

7-13 27

14-20 30

21-27 20

28-34 8

Review 2.2

The class width = The midpoint of the third class = The lower boundary of the second class =

Hours waiting Frequency

0-6 5

7-13 27

14-20 30

21-27 20

28-34 8

Review 2.2

The upper limit of the second class = The sample size = The relative frequency of the second class

=

Hours waiting Frequency

0-6 5

7-13 27

14-20 30

21-27 20

28-34 8

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 24-week period in this city.

10 4 8 7 3 7 10 2 6 12 11 8 1 6 5 13 9 7 5 1 14 5 15 3

Review 2.510 4 8 7 3 7 10 2 6 12 11 8 1 6 5 13 9 7 5 1 14 5 15 3

i) Construct a frequency distribution table. Take 1 as the lower limit and 3 as the width of each class.

ii) 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 thea) Meanb) Medianc) Mode

Review 3.2 Which of the following measures is/are

influenced by extreme values (outliers)?a) Meanb) Medianc) Moded) Range

Review 3.3 Which of the following summary measures

can be calculated for qualitative data?a) Meanb) Medianc) Mode

Review 3.4 Which of the following can have more than

one value?a) Meanb) Medianc) 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) Varianceb) Rangec) Mean

Review 3.6 Which of the following is the mean of the

squared deviations of x values from the mean?

a) Standard Deviationb) Population Variancec) Sample Variance

Review 3.7 The values of the variance and standard

deviation area) Never negativeb) Always positivec) Never zero

Review 3.8 A summary measure calculated for the

population data is calleda) A population parameterb) A sample statisticc) An outlier

Review 3.9 A summary measure for the sample data is

calleda) A population parameterb) A sample statisticc) An outlier

Review 3.10 Chebyshev’s theorem can be applied toa) Any distributionb) Bell-shaped distributions onlyc) Skewed distributions only

Review 3.11 The empirical rule can be applied to a) Any distributionb) Bell-shaped distributions onlyc) Skewed distributions only

Review 3.15 Calculate the mean, median, mode, range,

variance, and standard deviation for the following sample data.

9 6 28 14 218 7 3 16 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.

Calculate the mean, variance, and standard deviation.

Computers Sold Frequency

4 to 9 2

10 to 15 4

16 to 21 10

22 to 27 6

28 to 33 3

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 oldii) .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 oldii) .7 to 13.9 years old

Review 4.1 The collection of all outcomes for an

experiment is calleda) A sample spaceb) The intersection of eventsc) Joint probability

Review 4.2 A final outcome of an experiment is calleda) A compound eventb) A simple eventc) A complementary event

Review 4.3 A compound event includesa) All final outcomesb) Exactly two outcomesc) More than one outcome for an

experiment

Review 4.4 Two equally likely eventsa) Have the same probability of occurrenceb) Cannot occur togetherc) 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 probabilityb) Empirical probabilityc) Subjective probability

Review 4.6 Two mutually exclusive eventsa) Have the same probabilityb) Cannot occur togetherc) Have no effect on the occurrence of each

other.

Review 4.7 Two independent eventsa) Have the same probabilityb) Cannot occur togetherc) Have no effect on the occurrence of each

other.

Review 4.8 The probability of an event is alwaysa) Less than 0b) In the range 0.0 to 1.0c) Greater than 1.0

Review 4.9 The sum of the probabilities of all final

outcomes of an experiment is alwaysa) 100b) 1c) 0

Review 4.10 The joint probability of two mutually

exclusive events is alwaysa) 1.0b) Between 0 and 1c) 0

Review 4.11 Two independent events area) Always mutually exclusiveb) Never mutually exclusivec) 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 4.13Lucia 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 4.14There 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 2.17The 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 4.19The 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 isa) Male and works for more than 10 hours per

week.b) Female or works for more than 10 hours per

week

Review 4.20A 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

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?

Yes No No Response

Man 77 140 32

Woman 104 119 34