Presentation on theme: "Review 1.1 A population in statistics means a collection of all"— Presentation transcript:
1Review 1.1 A population in statistics means a collection of all Men and womenSubjects or objects of interestPeople living in a country
2Review 1.2 A sample in statistics means a portion of the People selected from the population of a countryPeople selected from the population of an areaPopulation of interest
3Review 1.3Indicate which of the following is an example of a sample with replacement and which is a sample without replacement.Five friends go to a livery stable and select five horses to ride.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.
4Review 1.4Indicate which of the following variables are quantitative and which are qualitative. Classify the quantitative variables as discrete or continuous.Women’s favorite TV programs.Salaries of football players.Number of pets owned by families.Favorite breed of dog for each of 20 persons.
5Review 2.2The 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 waitingFrequency0-657-132714-203021-272028-348
6Review 2.2 The class width = The midpoint of the third class = Hours waitingFrequency0-657-132714-203021-272028-348The class width =The midpoint of the third class =The lower boundary of the second class =
7Review 2.2 The upper limit of the second class = The sample size = Hours waitingFrequency0-657-132714-203021-272028-348The upper limit of the second class =The sample size =The relative frequency of the second class =
8Review 2.5A 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.
9Review 2.5Construct 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.
10Review 3.1The value of the middle term in a ranked data set is called theMeanMedianMode
11Review 3.2Which of the following measures is/are influenced by extreme values (outliers)?MeanMedianModeRange
12Review 3.3Which of the following summary measures can be calculated for qualitative data?MeanMedianMode
13Review 3.4 Which of the following can have more than one value? Mean MedianMode
14Review 3.5Which of the following is obtained by taking the difference between the largest and smallest values of the data set?VarianceRangeMean
15Review 3.6Which of the following is the mean of the squared deviations of x values from the mean?Standard DeviationPopulation VarianceSample Variance
16Review 3.7 The values of the variance and standard deviation are Never negativeAlways positiveNever zero
17Review 3.8A summary measure calculated for the population data is calledA population parameterA sample statisticAn outlier
18Review 3.9 A summary measure for the sample data is called A population parameterA sample statisticAn outlier
19Review 3.10 Chebyshev’s theorem can be applied to Any distribution Bell-shaped distributions onlySkewed distributions only
20Review 3.11 The empirical rule can be applied to Any distribution Bell-shaped distributions onlySkewed distributions only
21Review 3.15Calculate the mean, median, mode, range, variance, and standard deviation for the following sample data.
22Review 3.19The 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 SoldFrequency4 to 9210 to 15416 to 211022 to 27628 to 333
23Review 3.20The 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 are2.32 to years old.7 to 13.9 years old
24Review 3.21The 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 are5.1 to 9.5 years old.7 to 13.9 years old
25Review 4.1 The collection of all outcomes for an experiment is called A sample spaceThe intersection of eventsJoint probability
26Review 4.2 A final outcome of an experiment is called A compound event A simple eventA complementary event
27Review 4.3 A compound event includes All final outcomes Exactly two outcomesMore than one outcome for an experiment
28Review 4.4 Two equally likely events Have the same probability of occurrenceCannot occur togetherHave no effect on the occurrence of each other
29Review 4.5Which of the following probability approaches can be applied only to experiments with equally likely outcomes?Classical probabilityEmpirical probabilitySubjective probability
30Review 4.6 Two mutually exclusive events Have the same probability Cannot occur togetherHave no effect on the occurrence of each other.
31Review 4.7 Two independent events Have the same probability Cannot occur togetherHave no effect on the occurrence of each other.
32Review 4.8 The probability of an event is always Less than 0 In the range 0.0 to 1.0Greater than 1.0
33Review 4.9The sum of the probabilities of all final outcomes of an experiment is always1001
34Review 4.10The joint probability of two mutually exclusive events is always1.0Between 0 and 1
35Review 4.11 Two independent events are Always mutually exclusive Never mutually exclusiveAlways complementary
36Review 4.12A 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?
37Review 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 isFrom the insurance companyNot from the accounting firm.
38Review 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.Are the events “female” and “out-of-state student” independent? Mutually exclusive?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?2 are selected and both are out of state?
39Review 2.17The probability that an adult has ever experienced a migraine headache is If two adults are randomly selected, what is the probability that neither of them has ever experienced a migraine headace?
40Review 4.18A 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?
41Review 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 isMale and works for more than 10 hours per week.Female or works for more than 10 hours per week
42Review 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.
43Review 4.20a) 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?YesNoNo ResponseMan7714032Woman10411934