Exam 3: Numerical Descriptive Measures

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 variance of the carbohydrate amounts is (grams squared).

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 five-number summary of the carbohydrate amounts consists of_, , , , .

The smaller the spread of scores around 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, is the carbohydrate amount in the cereal right- or left-skewed?

The coefficient of variation is expressed as a percentage.

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 skewness statistic for the age of the senior citizens accurate to two decimal places.

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 standard deviation of the customs data is .

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, what is the range of the rate of return?

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, the range of the number of vitamin supplements sold in this sample is_.

According to the Chebyshev rule, at least 93.75% of all observations in any data set are contained within how many standard deviations around the mean?

In a boxplot, the box portion represents the data between the first and third quartile values.

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, the skewness statistic of the number of vitamin supplements sold in this sample is .

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 five-number summary for the data in the customs sample consists of , , , _, .

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 first quartile 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, what type of shape does the distribution of the sample appear to have?

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 arithmetic mean of the customs data is _.

Which of the following measures is used to determine where the data is clustering?

You were told that the 1st, 2nd and 3rd quartiles of female students' weight at a major university are 95 lbs., 125 lbs., and 138 lbs...What percentage of the students weigh less than 95 lbs...?

SCENARIO 3-7 In a recent academic year, many public universities in the United States raised tuition and fees due to a decrease in state subsidies.The change in the cost of tuition, a shared dormitory room, and the most popular meal plan from the previous academic year for a sample of 10 public universities were as follows: $1,589, $593, $1,223, $869, $423, $1,720, $708, $1425, $922 and $308. -Referring to Scenario 3-7, what are the (absolute values of) the Z scores of the change in cost?

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 kurtosis statistic for the carbohydrate amount in the cereal is_.