Exam 3: Numerical Descriptive Measures

In perfectly symmetrical distributions, which of the following is NOT a correct statement?

SCENARIO 3-2 The data below represent the number of grams of carbohydrates in a serving of breakfast cereal in a sample of 11 different servings. $1115232919222120152517$ -Referring to Scenario 3-2, the third quartile of the carbohydrate amounts is grams.

SCENARIO 3-2 The data below represent the number of grams of carbohydrates in a serving of breakfast cereal in a sample of 11 different servings. $1115232919222120152517$ -Referring to Scenario 3-2, the standard deviation of the carbohydrate amounts isgrams.

SCENARIO 3-12 Given below are the rating and performance scores of 15 laptop computers. Performance Score 115 191 153 194 236 184 184 216 Overall Rating 74 78 79 80 84 76 77 92 Performance Score 185 183 189 202 192 141 187 Overall Rating 83 78 77 78 78 73 77 -Referring to Scenario 3-12, you will expect a decrease in the performance score of one laptop computer to be associated with

SCENARIO 3-1 Health care issues are receiving much attention in both academic and political arenas.A sociologist recently conducted a survey of citizens over 60 years of age whose net worth is too high to qualify for Medicaid.The ages of 25 senior citizens were as follows: 60 61 62 63 64 65 66 68 68 69 70 73 73 74 75 76 76 81 81 82 86 87 89 90 92 -Referring to Scenario 3-1 determine the third quartile of the ages of the senior citizens.

As a rule, a value is considered an extreme value if its Z score is greater than 3.

If the arithmetic mean of a numerical data set is greater than the median, the data areskewed.

The coefficient of variation measures variability in a data set relative to the size of the arithmetic mean.

SCENARIO 3-2 The data below represent the number of grams of carbohydrates in a serving of breakfast cereal in a sample of 11 different servings. $1115232919222120152517$ -Referring to Scenario 3-2, the skewness statistic for the carbohydrate amount in the cereal is_.

As a rule, a value is considered an extreme value if its Z score is less than -3.

3-22 Numerical Descriptive Measures The ordered array below represents the number of cargo manifests approved by customs inspectors of the Port of New York in a sample of 35 days: 16, 17, 18, 18, 19, 20, 20, 21, 21, 21, 22, 22, 22, 22, 23, 23, 23, 23, 24, 24, 24, 25, 25, 26, 26, 26, 27, 28, 28, 29, 29, 31, 31, 32, 32 Note: For this sample, the sum of the values is 838, and the sum of the squared differences between each value and the mean is 619.89. -Referring to Scenario 3-4, the range of the customs data is .

SCENARIO 3-1 Health care issues are receiving much attention in both academic and political arenas.A sociologist recently conducted a survey of citizens over 60 years of age whose net worth is too high to qualify for Medicaid.The ages of 25 senior citizens were as follows: 60 61 62 63 64 65 66 68 68 69 70 73 73 74 75 76 76 81 81 82 86 87 89 90 92 -Referring to Scenario 3-1, calculate the arithmetic mean age of the senior citizens to the nearest hundredth of a year.

In right-skewed distributions, the distance from Q3 to the largest value is greater than the distance from the smallest observation to Q1.

The interquartile range is a measure of central tendency in a set of data.

SCENARIO 3-8 The following table represents the assets in billions of dollars of the five largest bond funds sometime in the past. $\begin{array} { | l | c | } \hline \text { Bond Fund } & \text { Assets (Billions \$) } \\\hline \text { PIMCO Total Return Fund } & 246 \\\hline \text { Vanguard Total Bond Market Index Fund } & 110 \\\hline \text { Templeton Global Bond Fund } & 57 \\\hline \text { Vanguard Total Bond Market Index Fund II } & 56 \\\hline \text { Vanguard Inflation-Protected Securities } & 43 \\\hline\end{array}$ -Referring to Scenario 3-8, what is the mean for this population of the five largest bond funds?

According to the Chebyshev rule, at least what percentage of the observations in any data set are contained within 3 standard deviations around the mean?

SCENARIO 3-13 Energy drink consumption has continued to gain in popularity since the 1997 debut of Red Bull, the current leader in the energy drink market.Given below are the exam scores and the number of 12- ounce energy drinks consumed within a week prior to the exam of 10 college students. Exam Scores 75 92 84 64 64 86 81 61 73 93 Number of Drinks 5 3 2 4 2 7 3 0 1 0 -Referring to Scenario 3-13, for a student who has consumed a high number of energy drinks within the week prior to the exam, you will expect his/her exam score to

SCENARIO 3-1 Health care issues are receiving much attention in both academic and political arenas.A sociologist recently conducted a survey of citizens over 60 years of age whose net worth is too high to qualify for Medicaid.The ages of 25 senior citizens were as follows: 60 61 62 63 64 65 66 68 68 69 70 73 73 74 75 76 76 81 81 82 86 87 89 90 92 -Referring to Scenario 3-1, calculate the coefficient of variation of the ages of the senior citizens.

SCENARIO 3-1 Health care issues are receiving much attention in both academic and political arenas.A sociologist recently conducted a survey of citizens over 60 years of age whose net worth is too high to qualify for Medicaid.The ages of 25 senior citizens were as follows: 60 61 62 63 64 65 66 68 68 69 70 73 73 74 75 76 76 81 81 82 86 87 89 90 92 -Referring to Scenario 3-1, determine the interquartile range of the ages of the senior citizens.

If the data set is approximately bell-shaped, the empirical rule will more accurately reflect the greater concentration of data close to the mean as compared to the Chebyshev rule.