Deck 13: Big Data Basics: Describing Samples and Populations

Question 1

A confidence interval estimate is a specified range of numbers within which a population mean is expected to lie.

Answer 1

True

Question 2

The value of Z is computed by the formula: Z = (X - µ)/ơ.

Answer 2

True

Question 3

A frequency distribution of a sample is called a sample distribution.

Answer 3

True

Question 4

The standardized normal distribution is a purely theoretical probability distribution that is of little use in inferential statistics.

Question 5

The central limit theorem states that,as sample size increases,the distribution of sample means of samples of size n (when randomly selected)approaches a normal distribution.

Question 6

A common practice in marketing research is to use the 75 percent confidence interval about the mean in research studies.

Question 7

The mode is the measure of central tendency that identifies the value that occurs most often.

Question 8

The normal distribution is a symmetrical,bell-shaped distribution that describes the expected probability distribution of many chance occurrences.

Question 9

A top box score generally refers to the frequency count of respondents who choose the most favorable response toward a company.

Question 10

The average deviation score is frequently used in marketing research studies.

Question 11

The primary purpose of inferential statistics is to make a judgment about a population.

Question 12

If between 125 and 150 units of a product have been produced each day during the past month,the range of this production is 25 units.

Question 13

The midpoint of a distribution,above which and below which half of the scores fall,is called the mode.

Question 14

The mean is simply the arithmetic average.

Question 15

Population parameters are computed from sample data.

Question 16

The standardized normal distribution has a mean of 1.0 and a standard deviation of zero.

Question 17

Auxiliary variables are those that the researcher should build into a survey that allow a comparison between sample units that do respond and those that do not respond.

Question 18

Percentage frequency is the long-run relative frequency with which an event will occur.

Question 19

One hundred percent of the scores in a normal distribution fall within plus or minus two standard deviations of the mean.

Question 20

A cross reference is an estimate of the population mean in the form of a single value.

Question 21

In a test marked study,206 out of a sample of 560 people state that they "liked" the product being studied.The proportion of people in this study who said that they liked this product was about:

A).23
B).37
C).56
D).71

Question 22

The confidence interval increases as the sample size,n,increases.

Question 23

The value below which half the values in a distribution fall is the ____.

A)mean
B)median
C)mode
D)range

Question 24

Three factors are required to specify sample size: (1)the variance of the population;(2)the population mean;and (3)the confidence level.

Question 25

Which of the following is not a measure of the central tendency of a set of scores?

A)mode
B)median
C)mean
D)range

Question 26

The measure of central tendency that identifies the value that occurs most often is called the ____.

A)mean
B)median
C)mode
D)range

Question 27

Nicole has created a table that summarizes the number of times a particular value of a variable occurs.Nicole has created a ____ distribution.

A)parameter
B)normal
C)frequency
D)probability

Question 28

Summary measures about variables computed using only data taken from a sample are called sample:

A)statistics
B)parameters
C)estimates
D)scores

Question 29

Find the mean score of the following set of scores: 2,5,7,4,8.

A)4.8
B)5.2
C)7.0
D)26.0

Question 30

Which of the following refers to the proportion of respondents who choose the most positive choice in a multiple choice question?

A)heteroskedasticity
B)mode
C)median
D)top-box score

Question 31

Increases in sample size reduce sampling error at a decreasing rate.

Question 32

The arithmetic average of a set of numbers is referred to as the _____.

A)proportion
B)mode
C)mean
D)median

Question 33

The ____ is a measure of dispersion.

A)mean
B)proportion
C)range
D)mode

Question 34

Suppose the average units produced in a month by a Ford Motor Co.plant for Ford Explorers is 22,but only 18 Explorers are produced on a given day in that same month.Then,the deviation score for this one day is ____.

A)-4
B)-2
C)+2
D)+4

Question 35

Suppose the price of MP3 players in Denver range from $59 to $179.Then,the range of these prices is ____.

A)$59
B)$120
C)$179
D)$238

Question 36

The formula below is used to calculate the ____.

A)mode of a sample
B)median of a sample
C)sample mean
D)range of a sample

Question 37

A researcher must calculate the sample mean to calculate the confidence intervals.

Question 38

In most cases,the size of the population does not have a major effect on the sample size.

Question 39

When a researcher wants to estimate national market share based on the results of the test market for a new product in St.Louis and Kansas City,this is an example of:

A)descriptive statistics
B)the central limit theorem
C)inferential statistics
D)the standardized normal distribution

Question 40

____ is the long-run relative frequency with which an event will occur.

A)Probability
B)Central tendency
C)Estimation
D)Deviation

Question 41

The formula below is used to compute ____.

A)standard deviation
B)standard error of the mean
C)standard error of the proportion
D)variance

Question 42

Which of the following is the symbol for the population standard deviation?

A)S
B)ơ
C)µ
D)S²

Question 43

If 35 percent of TV viewers recalled seeing an ad for a Ford Explorer on a particular television program based on a sample of 800 viewers,the 95 percent confidence interval for this study would be between approximately ____.

A)30 percent and 40 percent
B)32 percent and 38 percent
C)28 percent and 42 percent
D)20 percent and 30 percent

Question 44

The standard deviation of the sampling distribution is called the ____.

A)range
B)standard median
C)dispersion
D)standard error of the mean

Question 45

The percentage of elements that meet some criterion is referred to as the ____________________.

Question 46

All of the following are characteristics of the standardized normal distribution EXCEPT that it ____.

A)is symmetrical about its mean
B)has an infinite number of cases
C)mean identifies the normal curve's highest point (the mode)
D)has a mean of 1 and a standard deviation of 0

Question 47

If the sample standard deviation is 10.5 and the sample mean is 48 based on a study with a sample size of 120,the 95 percent confidence interval about the mean is between approximately ____.

A)44.37 and 51.63
B)46.12 and 49.88
C)47.88 and 48.12
D)40.0 and 50.0

Question 48

Which of the following eliminates the drawback of having the measure of dispersion in squared units rather than in the original measurement units?

A)standard deviation
B)variance
C)deviation
D)mean

Question 49

The following formula is used to compute ____.

A)standard error of the mean
B)standard deviation
C)standard normal distribution
D)variance

Question 50

Which of the following is the symbol for the sample standard deviation?

A)S
B)µ²
C)ơ
D)ơ²

Question 51

A frequency distribution of the population elements is called a ____.

A)normal distribution
B)sample statistic
C)population distribution
D)standard error

Question 52

When a data set is summarized by counting the number of times each value for a variable occurs in the sample,this is known as a ____________________.

Question 53

When you add up a set of scores and divide the result by the number of scores,you have determined the ____________________ of the distribution.

Question 54

A frequency distribution organized into a table or graph that summarizes percentage values associated with particular values of a variable is called a(n)____________________.

Question 55

An estimate of the population mean in the form of a single value,usually the sample mean,is called a ____.

A)confidence interval estimate
B)standard deviation
C)point estimate
D)variant

Question 56

Suppose a population mean is assumed to be 20 and the sample standard deviation is 5.Then,a score of 15 would have a Z-value of approximately ____.

A)-7.00
B)-1.00
C)+1.00
D)+5.00

Question 57

Which theorem states that as sample size increases,the distribution of sample means of size n,randomly selected,approaches a normal distribution?

A)prospect
B)central-limit
C)dispersion
D)entropy

Question 58

One of the most common probability distributions in statistics is the _____ distribution.

A)normal
B)standard
C)central
D)confidence interval

Question 59

Find the approximate standard deviation of the following set of scores: 3,6,2,7,8.

A)2.24
B)2.59
C)3.32
D)6.70

Question 60

Measured characteristics of a specific population are called ____________________.

Question 61

The ____________________ distribution is bell shaped.

Question 62

List the characteristics of the standardized normal distribution and explain why it is a useful distribution in inferential statistics.

Question 63

The simplest measure of the dispersion of a set of scores is the ____________________.

Question 64

Name and describe the measures of central tendency.

Question 65

Discuss the three factors required to specify sample size.

Question 66

Traditionally,market researchers have used the ____________________ percent confidence level in research studies.

Question 67

An estimate of the population mean in the form of a single value is called a(n)____________________ estimate.

Question 68

Explain the central-limit theorem and discuss why it is useful to marketing researchers.

Question 69

The standard deviation of the sampling distribution is called the ____________________ of the mean.

Question 70

Describe the measures of dispersion and explain why standard deviation is used most often.

Question 71

A frequency distribution of a sample is called a(n)____________________.

Question 72

The range of numbers within which the population mean is expected to lie 95 percent of the time referred to as a(n)____________________ estimate.

Question 73

The idea that as sample size increases,the distribution of sample means of samples of size n,when randomly selected,approaches a normal distribution is known as the ____________________.

Question 74

In computing a 95 percent confidence interval about a proportion for a sample size of 40,the appropriate Z-value to be used is ____________________.

Question 75

The middle score in a set of rank ordered scores is called the ____________________ score.