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 coefficient of variation of the carbohydrate amounts ispercent.

A positive kurtosis measure means a sample distribution is peaked than adistribution.

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.

In left-skewed distributions, which of the following is the correct statement?

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, are the data skewed? If so, how?

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 interquartile range in the carbohydrate amounts is grams.

According to the Chebyshev rule, at least 75% of all observations in any data set are contained within how many standard deviations around the mean?

The coefficient of variation is a measure of central tendency in the data.

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 kurtosis statistic of the number of vitamin supplements sold in this sample is _.

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 median carbohydrate amount in the cereal is grams.

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, how will you classify the linear relationship between the DJIA and the S&P 500 index?

The Z scores can be used to identify outliers.

The line drawn within the box of the boxplot always represents the arithmetic mean.

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.

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 covariance between the DJIA and the S&P 500 index?

Which of the following statements about the median is not true?

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

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, what is the sample correlation coefficient between the exam scores and the number of energy drinks consumed?

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 median of the customs data 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 coefficient of variation of the customs data is percent.