The following data represent the salaries (in thousands of dollars) of a sample of 13 employees of a firm: \(\begin{array}{|l|l|l|l|l|l|l|} \hline 26.5 & 23.5 & 29.7 & 24.8 & 21.1 & 24.3 & 20.4 \\ \hline 22.7 & 27.2 & 23.7 & 24.1 & 24.8 & 28.2 & \\ \hline \end{array}\) Compute the mean salary.

The answer of The following data represent the salaries (in...

Which of the following statements is true? \(\begin{array}{|l|l|} \hline A&\text { The correlation coefficient is -1 if there is a perfect positive correlation between two variables.}\\ \hline B&\text { The correlation coefficient is 0 if there is a perfect positive correl ation between two variables.}\\ \hline C&\text { The correlation coefficient is 0.5 if there is a perfect positive correlation between two variables.}\\ \hline D&\text { The correlation coefficient is 1 if there is a perfect positive correlation between two variables.}\\ \hline \end{array}\)

The answer of Which of the following statements is true?...

Which of the following statements is true? \(\begin{array}{|l|l|} \hline A&\text { The standard deviation is always greater than the variance.}\\ \hline B&\text {The sum of the squared deviations from the mean is always zero. }\\ \hline C&\text { The standard deviation is in squared units.}\\ \hline D&\text {The sum of the deviations from each value in a data set to the mean, is always zero. }\\ \hline \end{array}\)

The answer of Which of the following statements is true?...

Which of the following best describes the scenario when two data sets have the same range? \(\begin{array}{|l|l|} \hline A&\text {The distances from the smallest to the largest observations in both data sets will be the same. }\\ \hline B&\text {The smallest and largest observations are the same in both data sets. }\\ \hline C&\text {Both data sets will have the same mean. }\\ \hline D&\text { Both data sets will have the same interquartile range.}\\ \hline \end{array}\)

The answer of Which of the following best describes the...

Which of the following is the best measure of variability if the distribution of a set of data is skewed? \(\begin{array}{|l|l|} \hline A&\text { The standard deviation.}\\ \hline B&\text {The variance. }\\ \hline C&\text { The median.}\\ \hline D&\text {The interquartile range. }\\ \hline \end{array}\)

The answer of Which of the following is the best...

Which of the following summary measures is affected by extreme values? \(\begin{array}{|l|l|} \hline A&\text {The median. }\\ \hline B&\text { The interquartile range.}\\ \hline C&\text { The range.}\\ \hline D&\text {The mode. }\\ \hline \end{array}\)

The answer of Which of the following summary measures is...

The following data are the heights (in cm) of the 25 students in a business statistics class: \[\begin{array} { | l | l | l | l | l | l | l | l | l | l | } \hline 164 & 148 & 137 & 157 & 173 & 156 & 177 & 172 & 169 & 165 \\ \hline 145 & 168 & 163 & 162 & 174 & 152 & 156 & 168 & 154 & 151 \\ \hline 174 & 146 & 134 & 140 & 171 & & & & & \\ \hline \end{array}\] a. Construct a box plot for the heights. b. State the interquartile range and identify any outliers. c. Compare the information regarding skewness conveyed by your box plot with that shown by a histogram.

a. @#IMG-DLM& b. IQR = Q 3 - Q 1 = 169 - 151

Which of the following is not a measure of variability? \(\begin{array}{|l|l|} \hline A&\text {The range. }\\ \hline B&\text {The variance. }\\ \hline C&\text {The arithmetic mean. }\\ \hline D&\text { The standard deviation.}\\ \hline E&\text { The interquartile range.}\\ \hline \end{array}\)

The answer of Which of the following is not a...

Which of the following must is necessary when approximating descriptive measures for grouped data? \(\begin{array}{|l|l|} \hline A&\text {The observations in a class are positively skewed. }\\ \hline B&\text {The observations in a class are fairly symmetrical about the midpoint. }\\ \hline C&\text { The observations in a class are negatively skewed.}\\ \hline D&\text {None of these choices are correct. }\\ \hline \end{array}\)

The answer of Which of the following must is necessary...

Exam 5: Numerical Descriptive Measures

The following data represent the salaries (in thousands of dollars) of a sample of 13 employees of a firm: 26.5 23.5 29.7 24.8 21.1 24.3 20.4 22.7 27.2 23.7 24.1 24.8 28.2 Compute the mean salary.

(Short Answer)

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Question 41

Which of the following statements is true? A The correlation coefficient is -1 if there is a perfect positive correlation between two variables. B The correlation coefficient is 0 if there is a perfect positive correl ation between two variables. C The correlation coefficient is 0.5 if there is a perfect positive correlation between two variables. D The correlation coefficient is 1 if there is a perfect positive correlation between two variables.

(Short Answer)

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Question 42

Which of the following statements is true? A The standard deviation is always greater than the variance. B The sum of the squared deviations from the mean is always zero. C The standard deviation is in squared units. D The sum of the deviations from each value in a data set to the mean, is always zero.

(Short Answer)

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Question 43

Which of the following best describes the scenario when two data sets have the same range? A The distances from the smallest to the largest observations in both data sets will be the same. B The smallest and largest observations are the same in both data sets. C Both data sets will have the same mean. D Both data sets will have the same interquartile range.

(Short Answer)

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Question 44

A data sample has a mean of 107, a median of 122 and a mode of 134. The distribution of the data is positively skewed.

(True/False)

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Question 45

What is wrong with this statement: "When the sample correlation coefficient is equal to 1 then the slope of the regression line will also be equal to 1".

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Question 46

Which of the following is the best measure of variability if the distribution of a set of data is skewed? A The standard deviation. B The variance. C The median. D The interquartile range.

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Question 47

The width of the box in a boxplot is the mean of the data set.

(True/False)

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Question 48

The following data represent the salaries (in thousands of dollars) of a sample of 13 employees of a firm: 26.5 23.5 29.7 24.8 21.1 24.3 20.4 22.7 27.2 23.7 24.1 24.8 28.2 Compute the lower quartile.

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Question 49

The following data represent the weights (in kilograms) of a sample of 30 horses: Weight 165 175 150 155 173 149 145 153 153 153 152 145 164 143 170 175 148 174 171 156 166 168 152 150 173 168 146 155 172 159 Compute the sample variance and sample standard deviation.

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Question 50

Which of the following summary measures is affected by extreme values? A The median. B The interquartile range. C The range. D The mode.

(Short Answer)

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Question 51

The following data are the heights (in cm) of the 25 students in a business statistics class: 164 148 137 157 173 156 177 172 169 165 145 168 163 162 174 152 156 168 154 151 174 146 134 140 171 a. Construct a box plot for the heights. b. State the interquartile range and identify any outliers. c. Compare the information regarding skewness conveyed by your box plot with that shown by a histogram.

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Question 52

Data were obtained for the weight in grams, of a sample of 10 packets of sweetener, as found in cafés. 4.5 5 5.9 5.4 5.5 4.7 4.9 4.7 4.7 4.6 Find the variance.

(Short Answer)

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Question 53

The relative frequency histogram for the age (in years) of a sample of 25 employees from a government department, is given below. Explain what the best measure of central location is.

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Question 54

A linear regression model estimating the relationship between Expendure on Imports and Annual household income has an r value of 0.90. Interpret r.

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Question 55

Which of the following is not a measure of variability? A The range. B The variance. C The arithmetic mean. D The standard deviation. E The interquartile range.

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Question 56

In a positively skewed distribution, the mean is larger than the median and the median is larger than the mode.

(True/False)

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Question 57

The mode is the only measure of central location for a distribution of a nominal (categorical) variable.

(True/False)

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Question 58

Which of the following must is necessary when approximating descriptive measures for grouped data? A The observations in a class are positively skewed. B The observations in a class are fairly symmetrical about the midpoint. C The observations in a class are negatively skewed. D None of these choices are correct.

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Question 59

While Chebyshev's theorem applies to any distribution, regardless of shape, the empirical rule applies only to distributions that are bell-shaped and symmetrical.

(True/False)

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Question 60

The following data represent the salaries (in thousands of dollars) of a sample of 13 employees of a firm: 26.5 23.5 29.7 24.8 21.1 24.3 20.4 22.7 27.2 23.7 24.1 24.8 28.2 Compute the mean salary.

A data sample has a mean of 107, a median of 122 and a mode of 134. The distribution of the data is positively skewed.

What is wrong with this statement: "When the sample correlation coefficient is equal to 1 then the slope of the regression line will also be equal to 1".

Which of the following is the best measure of variability if the distribution of a set of data is skewed? A The standard deviation. B The variance. C The median. D The interquartile range.

The width of the box in a boxplot is the mean of the data set.

The following data represent the salaries (in thousands of dollars) of a sample of 13 employees of a firm: 26.5 23.5 29.7 24.8 21.1 24.3 20.4 22.7 27.2 23.7 24.1 24.8 28.2 Compute the lower quartile.

The following data represent the weights (in kilograms) of a sample of 30 horses: Weight 165 175 150 155 173 149 145 153 153 153 152 145 164 143 170 175 148 174 171 156 166 168 152 150 173 168 146 155 172 159 Compute the sample variance and sample standard deviation.

Which of the following summary measures is affected by extreme values? A The median. B The interquartile range. C The range. D The mode.

Data were obtained for the weight in grams, of a sample of 10 packets of sweetener, as found in cafés. 4.5 5 5.9 5.4 5.5 4.7 4.9 4.7 4.7 4.6 Find the variance.

The relative frequency histogram for the age (in years) of a sample of 25 employees from a government department, is given below. Explain what the best measure of central location is.

A linear regression model estimating the relationship between Expendure on Imports and Annual household income has an r value of 0.90. Interpret r.

Which of the following is not a measure of variability? A The range. B The variance. C The arithmetic mean. D The standard deviation. E The interquartile range.

In a positively skewed distribution, the mean is larger than the median and the median is larger than the mode.

The mode is the only measure of central location for a distribution of a nominal (categorical) variable.

While Chebyshev's theorem applies to any distribution, regardless of shape, the empirical rule applies only to distributions that are bell-shaped and symmetrical.

What Is Statistics

Types of Data, Data Collection and Sampling

Graphical Descriptive Methods Nominal Data

Graphical Descriptive Techniques Numerical Data

Probability

Random Variables and Discrete Probability Distributions

Continuous Probability Distributions

Statistical Inference: Introduction

Sampling Distributions

Estimation: Describing a Single Population

Estimation: Comparing Two Populations

Hypothesis Testing: Describing a Single Population

Hypothesis Testing: Comparing Two Populations

Inference About Population Variances

Analysis of Variance

Additional Tests for Nominal Data: Chi-Squared Tests

Simple Linear Regression and Correlation

Multiple Regression

Model Building

Nonparametric Techniques

Statistical Inference: Conclusion

Time-Series Analysis and Forecasting

Index Numbers

Decision Analysis

Filters