Chapter 13 BOI

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In statistical terms, ______ the sample size ______ the width of the confidence interval about the mean at a given confidence level. a. increasing; decreases b. increasing; increases c. decreasing; decreases d. none of these choices

A

Measures computed from sample data are called _____. a. sample statistics b. population parameters c. sample frequencies d. normalized scores

A

One of the most common probability distributions in statistics is the _____ distribution. a. normal b. bell c. central d. confidence interval

A

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

A

_____ is the long-run relative frequency with which an event will occur. a. Probability b. Central tendency c. Estimation d. Deviation

A

A set of data organized by summarizing the number of times a particular value of a variable occurs is referred to as a(n) _____. a. inference table b. frequency distribution c. probability sample d. sample summary

B

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

B

Find the mean score of the following set of scores: 2, 5, 7, 4, 8 . a. 4.8 b. 5.2 c. 7 d. 26

B

Find the median of the following scores: 1, 2, 3, 4, 5, 5, 7 a. 3.86 b. 4 c. 6 d. 27

B

If 206 people in a sample of 560 people say that they "liked a product" that they purchased during a test market study in Cincinnati, the proportion of people in this study who said that they liked this product was about _____. a. 0.40 b. 0.37 c. 0.56 d. 2.71

B

If 35 percent of TV viewers recalled seeing an ad for a Toyota Prius 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

B

If 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, the deviation score for this one day is _____. a. +4 b. -4 c. 40 d. 2

B

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

B

The value below which half the values in a distribution fall is the _____. a. mean b. median c. mode d. range

B

Which theory states that as sample size increases, the distribution of sample means of size n, randomly selected, approaches a normal distribution? a. prospect theory b. central-limit theorem c. dispersion theory d. entropy

B

A frequency distribution of the population elements is called a _____. a. normal distribution b. sample statistic c. population distribution d. standard error

C

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

C

Find the mode of the following scores: 1, 2, 3, 4, 5, 5, 7 a. 3.86 b. 4 c. 5 d. 6

C

Hank has developed a set of data organized by summarizing the values resulting from rolling a pair of die. He constructed a table of his data and found that five was the most common result. This is an example of a _____. a. population parameter b. mean c. frequency distribution d. median

C

If the population mean is assumed to be 20 and the sample standard deviation is 5, a score of 15 would have a Z-value of _____. a. +1.00 b. -7.00 c. -1.00 d. +5.00

C

If the price of a product ranges from $59 to $179, the range of these prices is _____ a. $238 b. $60 c. $120 d. $179

C

The _____ distribution is a symmetrical, bell-shaped distribution that describes the expected probability distribution of many chance occurrences. a. bell-weather b. common c. normal d. unique

C

The arithmetic average of a set of numbers is referred to as the _____. a. proportion b. mode c. mean d. median

C

The measure of central tendency that identifies the value that occurs most often is called the _____. a. mean b. median c. mode d. range

C

The percentage of elements that meet some criterion is called a(n) _____. a. top-box score b. distribution c. proportion d. range

C

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

C

Which of the following is a measure of dispersion? a. mean b. proportion c. range d. all of these choices

C

All of the following are characteristics of the standardized normal distribution EXCEPT _____. a. 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

D

Which of the following is a measure of the central tendency of a set of scores? a. mode b. median c. mean d. all of these choices

D

Which of the following is a step in determining sample size? a. estimate the standard deviation of the population b. make a judgment about the allowable magnitude of error c. determine a confidence level d. all of these choices

D

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

D

Which of the following represents the standard deviation of the sampling distribution? a. range b. standard median c. dispersion d. standard error of the mean

D

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

F

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

F

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

F

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

F

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

F

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

F

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

F

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

F

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

F

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

F

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

F

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

F

"As sample size increases, the distribution of sample means of samples of size n (when randomly selected) approaches a normal distribution" is a fundamental assumption of the central-limit theorem.

T

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

T

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

T

A top-box score refers to the top quartile of responses.

T

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

T

Population parameters are measured characteristics of a specific population.

T

The mean is simply the arithmetic average.

T

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

T

The normal distribution is represented by the normal curve.

T

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

T

The standard deviation eliminates the drawback of having the measure of dispersion in squared units rather than the original measurement units.

T

The variance, or heterogeneity, of the population refers to the standard deviation of the population.

T


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