Question 1

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

The statement accurately describes the central limit theorem.

Question 2

The mean is simply the arithmetic average.

Accepted Answer

The mean is calculated by adding the values of all observations and dividing the sum by the total number of observations. This gives us the arithmetic average.

Question 3

The central limit theorem prevents inferential statistics from being used.

Accepted Answer

The central limit theorem actually supports inferential statistics by providing the foundation for the use of sampling distributions and confidence intervals.

Question 4

Population parameters are computed from sample data.

Accepted Answer

Population parameters are estimated using sample data, as it is not feasible to measure or observe an entire population.

Question 5

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

Accepted Answer

A cross reference typically refers to a connection or similarity between two or more sources, and does not involve estimating a population mean. An estimate of the population mean is typically expressed as a point estimate or interval estimate, such as a sample mean or confidence interval.

Question 6

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 7

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 a population mean is expected to fall with a certain degree of confidence. It is not a precise point estimate, but rather a range of values, typically expressed as a lower and upper bound, that are likely to contain the true population mean.

Question 8

The bottom-box score is the portion of respondents who choose the least favorable response to some question about customer opinion.

Accepted Answer

The bottom-box score refers to the percentage of respondents who choose the most negative or least favorable response to a customer satisfaction survey question.

Question 9

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

Accepted Answer

This is correct. The mode is the value that appears most frequently in a dataset, so it is a useful measure of central tendency.

Question 10

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 commonly used in market research and is a measure of customer satisfaction. It represents the percentage or number of respondents who choose the highest or most favorable response option in a survey question.

Question 11

The confidence interval estimate is a range of numbers within which the researcher is confident that the population mean will lie.

Accepted Answer

The confidence interval estimate is a range of values that is likely to contain the population parameter with a certain level of confidence (usually expressed as a percentage). It is a common tool used in statistics to estimate the true value of a population parameter, such as the population mean. The confidence interval represents a range of values that we believe contains the true population mean with a certain degree of confidence, based on the sample data.

Question 12

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

Accepted Answer

Inferential statistics is used to make inferences about a population based on data collected from a sample. It helps in determining the degree of confidence in the conclusions drawn from the sample data and generalizing it to the population.

Question 13

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 calculated by subtracting the minimum value from the maximum value. In this case, the minimum value is 125 and the maximum value is 150, so the range is 150-125=25 units. Therefore, the statement is true.

Question 14

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

Accepted Answer

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

Question 15

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 the distribution.

Question 16

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

Accepted Answer

This is probability.

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.

Accepted Answer

Auxiliary variables are used to compare respondents and non-respondents in a survey in order to assess potential non-response bias. By including these variables, the researcher can better understand if the sample of respondents is representative of the larger population being studied.

Question 18

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

Accepted Answer

The formula presented is correct and used for computing Z-score in statistics.

Question 19

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 0 and a standard deviation of 1.

Question 20

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.

Quiz 13: Big Data Basics: Describing Samples and Populations

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.

The mean is simply the arithmetic average.

The central limit theorem prevents inferential statistics from being used.

Population parameters are computed from sample data.

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

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

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

The bottom-box score is the portion of respondents who choose the least favorable response to some question about customer opinion.

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

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

The confidence interval estimate is a range of numbers within which the researcher is confident that the population mean will lie.

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

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.

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

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

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

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 - $\mu$ )/ $\sigma$ .

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

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

Quiz 13: Big Data Basics: Describing Samples and Populations

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.

The mean is simply the arithmetic average.

The central limit theorem prevents inferential statistics from being used.

Population parameters are computed from sample data.

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

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

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

The bottom-box score is the portion of respondents who choose the least favorable response to some question about customer opinion.

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

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

The confidence interval estimate is a range of numbers within which the researcher is confident that the population mean will lie.

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

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.

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

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

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

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 - μ\muμ )/ σ\sigmaσ .

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

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

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