Question 1

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

Accepted Answer

The answer of The formula below is used to calculate...

Question 2

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

Accepted Answer

The range is the difference between the highest and lowest values, which in this case is $179 - $59 = $120. Therefore, the best choice is B.

Question 3

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

Accepted Answer

Range is a measure of dispersion or variability in a set of scores, not a measure of central tendency. The mode, median, and mean are all measures of central tendency.

Question 4

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

Accepted Answer

The deviation score is calculated by subtracting the actual value from the average value. In this case, 18 (actual) - 22 (average) = -4.

Question 5

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

Accepted Answer

To find the mean, we add up all the scores and divide by the total number of scores. 
Adding 2+5+7+4+8 gives us a total of 26. 
Dividing 26 by 5 (the total number of scores) gives us a mean score of 5.2.

Question 6

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

Accepted Answer

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

Question 7

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

Accepted Answer

To find the proportion of people who liked the product, we divide the number of people who liked it by the total number of people in the sample: 206/560 ≈ 0.37. Therefore, the proportion of people in this study who said that they liked the product was about 0.37 or 37%, which is closest to choice B.

Question 8

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

Accepted Answer

Inferential statistics involves using the results from a sample to make inferences or predictions about a larger population. In this scenario, the researcher is using the results from the test market in St. Louis and Kansas City to estimate the national market share, which is an example of inferential statistics. Descriptive statistics (A) involves summarizing and describing data from a sample, while the central limit theorem (B) is a statistical theory that explains the behavior of sample means when the sample size is large enough. The standardized normal distribution (D) is a probability distribution used in statistical inference.

Question 9

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

Accepted Answer

The sample mean is needed in order to calculate the confidence intervals, as it is the center of the interval.

Question 10

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

Accepted Answer

The size of the population doesn't necessarily have a major effect on the sample size as the focus is typically on selecting a representative sample that accurately reflects the population's characteristics. However, larger populations may require larger sample sizes to ensure representativeness.

Question 11

____ is the long-run relative frequency with which an event will occur.
A) Probability
B) Central tendency
C) Estimation
D) Deviation

Accepted Answer

Probability is defined as the long-run relative frequency with which an event will occur. It is the chance or likelihood of an event occurring.

Question 12

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

Accepted Answer

As sample size increases, sampling error decreases, but it does so at a decreasing rate. This means that a larger sample size will reduce the amount of sampling error, but the rate of reduction will slow down as the sample size gets larger. Eventually, the amount of additional reduction in sampling error becomes negligible compared to the added cost and effort required to obtain a larger sample size.

Question 13

Summary measures about variables computed using only data taken from a sample are called sample:
A) statistics
B) parameters
C) estimates
D) scores

Accepted Answer

Sample statistics are summary measures computed using only data taken from a sample, while population parameters are summary measures computed using data taken from the entire population. Estimates are also summary measures computed using only data from a sample, but they are specifically used to infer information about population parameters. Scores refer to individual data points, not summary measures. Therefore, the best choice is A) statistics.

Question 14

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

Accepted Answer

The top-box score refers to the proportion of respondents who choose the most positive choice in a multiple choice question.

Question 15

The value below which half the values in a distribution fall is the ____.
A) mean
B) median
C) mode
D) range

Accepted Answer

The value below which half the values in a distribution fall is the median. It is the midpoint of the distribution and is not influenced by extreme values (unlike the mean). The mode is the most frequent value in the distribution and the range is the difference between the smallest and largest values in the distribution, neither of which are indicators of the middle value.

Question 16

The measure of central tendency that identifies the value that occurs most often is called the ____.
A) mean
B) median
C) mode
D) range

Accepted Answer

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

Question 17

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

Accepted Answer

The table Nicole created summarizes the frequency of each value, making it a frequency distribution. Parameter distributions refer to the distribution of values within a population, normal distributions refer to a specific bell-shaped distribution, and probability distributions provide the likelihood of different outcomes.

Question 18

The ____ is a measure of dispersion.
A) mean
B) proportion
C) range
D) mode

Accepted Answer

Range is the measure of the spread of the data, or dispersion, as it describes the difference between the smallest and largest values in a dataset. The mean, mode, and proportion are measures of central tendency, not dispersion.

Question 19

The arithmetic average of a set of numbers is referred to as the _____.
A) proportion
B) mode
C) mean
D) median

Accepted Answer

The arithmetic average is also known as the mean, which is calculated by adding up all the numbers in the set and then dividing by the total number of numbers. The mode is the most frequently occurring number, while the median is the middle number when the set is arranged in numerical order. However, since the question specifically asks for the arithmetic average, the correct answer is C, mean.

Question 20

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

Accepted Answer

The confidence interval decreases as the sample size increases.

Quiz 13: Big Data Basics: Describing Samples and Populations

The formula below is used to calculate the ____.

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

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

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 ____.

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

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

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:

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

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

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

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

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

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

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

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

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

The ____ is a measure of dispersion.

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

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