Question 1

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

Accepted Answer

This is probability.

Question 2

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

Accepted Answer

The statement is true. The mode is the value that occurs most frequently in a dataset, and it is one of the measures of central tendency along with the mean and the median.

Question 3

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.

Accepted Answer

This is the correct statement of the central limit theorem.

Question 4

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

Accepted Answer

A cross reference is not an estimate of the population mean in the form of a single value. It is a tool used to link information in different parts of a document. The correct term for an estimate of the population mean in the form of a single value is a point estimate.

Question 5

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

Accepted Answer

A top box score is a commonly used metric in market research that measures the percentage of respondents who select the most favorable rating on a survey question. This is typically the highest score or rating option available, such as "strongly agree" or "very satisfied." The top box score can provide insights into customer satisfaction and brand perception.

Question 6

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

Accepted Answer

A confidence interval estimate provides a range of values within which the true population mean is expected to fall with a specified degree of confidence.

Question 7

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.

Accepted Answer

The range is defined as the difference between the highest and lowest values in a set of data. In this case, the highest production value is 150 and the lowest is 125, resulting in a difference of 25 units. Therefore, the statement is true.

Question 8

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

Accepted Answer

Almost all (99.7 percent)of its values are within +/- 3 standard deviations from its mean.

Question 9

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

Accepted Answer

It is never used.Positive deviation scores are canceled out by negative scores,leaving an average deviation value of zero no matter how wide the spread may be.

Question 10

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

Accepted Answer

The statement is true.

Question 11

The mean is simply the arithmetic average.

Accepted Answer

The mean is indeed the arithmetic average, which is the sum of all values divided by the number of values.

Question 12

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

Accepted Answer

This statement is true. A frequency distribution of a sample is a distribution of the observed frequencies of each value or range of values in a sample, and is commonly referred to as a sample distribution.

Question 13

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

Accepted Answer

The standardized normal distribution is actually very useful in inferential statistics as it allows us to calculate probabilities and make inferences about a population based on a sample.

Question 14

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

Accepted Answer

The midpoint of a distribution, above which and below which half of the scores fall, is called the median. The mode is the most frequently occurring score in a distribution.

Question 15

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

Accepted Answer

The common practice is to use the 95 percent confidence interval.

Question 16

Population parameters are computed from sample data.

Accepted Answer

Sample statistics are measures computed from sample data.Population parameters are measured characteristics of a specific population.

Question 17

The value of Z is computed by the formula: Z = (X - $\mu$)/$\sigma$.

Accepted Answer

This is a valid formula for computing the value of Z, where X is the observed value, μ is the population mean, and σ is the population standard deviation. F1F1F1S1 refers to the sample size.

Question 18

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

Accepted Answer

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

Question 19

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

Accepted Answer

Inferential statistics is used to make a prediction or estimate about a population based on a sample of data. It involves using statistical methods to draw conclusions about a larger group based on observations of a smaller group. Therefore, the primary purpose of inferential statistics is to make judgments about a population.

Question 20

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.

Accepted Answer

Auxiliary variables help account for nonresponse bias in a survey by allowing the researcher to compare characteristics of respondents and nonrespondents. This can improve the validity and representativeness of the survey data.

Quiz 13: Big Data Basics: Describing Samples and Populations

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

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

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.

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

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

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

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.

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

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

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

The mean is simply the arithmetic average.

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

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

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

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

Population parameters are computed from sample data.

The value of Z is computed by the formula: Z = (X - $\mu$ )/ $\sigma$ .

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

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

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.

Quiz 13: Big Data Basics: Describing Samples and Populations

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

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

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.

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

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

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

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.

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

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

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

The mean is simply the arithmetic average.

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

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

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

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

Population parameters are computed from sample data.

The value of Z is computed by the formula: Z = (X - μ\muμ )/ σ\sigmaσ .

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

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

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.

The value of Z is computed by the formula: Z = (X - $\mu$ )/ $\sigma$ .