Exam 3: Numerical Descriptive Measures

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 first quartile 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, calculate the kurtosis statistic for the age of the senior citizens accurate to two decimal places.

SCENARIO 3-11 Given below are the closing prices for the Dow Jones Industrial Average (DJIA) and the Standard & Poor's (S&P) 500 Index over 10-weeks sometime in the past. Dow Jones 10,421 10,110 9,862 10,475 9,920 10,592 11,213 10,933 11,134 10,316 S\&P 500 1,379 1,356 1,343 1,410 1,389 1,463 1,529 1,499 1,516 1,355 -Referring to Scenario 3-11, what is the sample correlation coefficient between the DJIA and theS&P 500 index?

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, what is the sample covariance between the performance scores and the rating?

SCENARIO 3-3 The ordered array below represents the number of vitamin supplements sold by a health food store in a sample of 16 days. $19,19,20,20,22,23,25,26,27,30,33,34,35,36,38,41$ Note: For this sample, the sum of the values is 448, and the sum of the squared differences between each value and the mean is 812. -Referring to Scenario 3-3, construct a boxplot for the data in this sample.

The median of the values 3.4, 4.7, 1.9, 7.6, and 6.5 is 4.05.

SCENARIO 3-5 The rate of return of a Fortune 500 company over the past 15 years are: 3.17\%,4.43\%,5.93\%,5.43\%, 7.29\%,8.21\%,6.23\%,5.23\%,4.34\%,6.68\%,7.14\%,-5.56\%,-5.23\%,-5.73\%,-10.34\% -Referring to Scenario 3-5, compute the geometric mean rate of return per year for the first four years.

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 first quartile of the carbohydrate amounts is grams.

The interquartile range is a measure of variation or dispersion in a set of data.

The coefficient of variation is a measure of relative variation.

SCENARIO 3-6 The rate of return of an Internet Service Provider over a 10-year period are: 10.25\%,12.64\%,8.37\%, 9.29\%,6.23\%,42.53\%,29.23\%,15.25\%,21.52\%,-2.35\% . -Referring to Scenario 3-6, compute the geometric mean rate of return per year for the first three years.

Data on the change in the cost of tuition, a shared dormitory room, and the most popular meal plan from one academic year to the next academic year for a sample of 100 public universities are collected.Below is the boxplot for the change in cost in dollars.The distribution of the change in cost is

SCENARIO 3-6 The rate of return of an Internet Service Provider over a 10-year period are: 10.25\%,12.64\%,8.37\%, 9.29\%,6.23\%,42.53\%,29.23\%,15.25\%,21.52\%,-2.35\% . -Referring to Scenario 3-6, construct a boxplot for the rate of return

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 which of the following is the correct statement.

The five-number summary consists of the smallest value, the first quartile, the median, the third quartile, and the largest value.

A boxplot is a graphical representation of a five-number summary.

The geometric mean is a measure of variation or dispersion in a set of data.

In a perfectly symmetrical distribution

SCENARIO 3-3 The ordered array below represents the number of vitamin supplements sold by a health food store in a sample of 16 days. $19,19,20,20,22,23,25,26,27,30,33,34,35,36,38,41$ Note: For this sample, the sum of the values is 448, and the sum of the squared differences between each value and the mean is 812. -Referring to Scenario 3-3, is the number of vitamin supplements sold in this sample right- or left- skewed?

SCENARIO 3-5 The rate of return of a Fortune 500 company over the past 15 years are: 3.17\%,4.43\%,5.93\%,5.43\%, 7.29\%,8.21\%,6.23\%,5.23\%,4.34\%,6.68\%,7.14\%,-5.56\%,-5.23\%,-5.73\%,-10.34\% -Referring to Scenario 3-5, compute the arithmetic mean rate of return per year.