Exam 3: Numerical Descriptive Measures

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. -Referring to Scenario 3-13, what is the sample covariance between the exam scores and the number of energy drinks consumed?

SCENARIO 3-4 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: 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 interquartile range of the customs data is ________.

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. -Referring to Scenario 3-11, what is the sample covariance between the DJIA and the S&P 500 index?

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 arithmetic mean rate of return per year.

You were told that the quartiles of female students' weight at a major university are 95 lbs., 125 lbs., and 138 lbs.What percentage of the students weigh more than 125 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, is the change in the cost right- or left-skewed?

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: -Referring to Scenario 3-1, what type of shape does the distribution of the sample appear to have?

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

If the arithmetic mean of a numerical data set is greater than the median, the data are _______ 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 geometric mean rate of return per year for the first four years.

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: -Referring to Scenario 3-1, calculate the arithmetic mean age of the senior citizens to the nearest hundredth of a year.

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. -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. -Referring to Scenario 3-2, the five-number summary of the carbohydrate amounts consists of ________, ________, ________, ________, ________.

According to the Chebyshev rule, at least what percentage of the observations in any data set are contained within 2 standard deviations around the mean?

SCENARIO 3-8 The period from 2010 to 2013 saw a great deal of volatility in the value of stocks.The data in the following table represent the total rate of return of our companies from 2010 to 2013. -Referring to Scenario 3-8, calculate the geometric mean rate of return per year for Company A.

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

In exploratory data analysis, a boxplot can be used to illustrate the median, quartiles, and extreme values.

Which of the following is NOT a measure of central tendency?

A population with 200 elements has an arithmetic mean of 10.From this information, it can be shown that the population standard deviation is 15.

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. 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 ________.