question 2

The following data represent the weekly working hours of a sample of 25 employees:

31, 43, 56, 23, 49, 42, 33, 61, 44, 28, 48, 38, 44, 35, 40, 64, 52, 42, 47, 39, 53, 27, 36, 35, and 20.

Calculate the sample mean working hours to one decimal place.

QUESTION 3

1. Christine has been keeping track of what she spends on to-go meals. The last week's expenditures were $5.69, $5.95, $6.19, $10.91, $7.49, $14.53, and $7.66. The median amount Christine spends on to-go meals is _____________(enter your answer without the dollar sign, to two decimal places).

QUESTION 4

1. Find the 50^th percentile of the following set of data:

   10 14 28 18 54 44 63 31 69 24

QUESTION 5

Question 9

Question 10

QUESTION 12

1. A tech company is choosing to "crowd source" its start-up capital online by appealing directly to potential customers using a popular platform. So far, there have been five investments, which are given below (amounts are in dollars). Find the standard deviation of the investments to two decimal places. Take all calculations toward the answer to at least three (3) decimal places.

   23, 34, 53, 47, 42

QUESTION 13

1. Alan is interested in purchasing a pre-owned sport utility vehicle (SUV). He wants to get an idea of how variable the prices are in his area, so he inputs the specifications of the vehicle he wants into edmunds.com, the website of a well-known automotive valuation company, and performs a search. He obtains the following six prices (in thousands of dollars):

   30, 33.4, 31.2, 30.1, 29.7, 33.1.

   Compute the sample standard deviation of the prices to two decimal places. Take all calculations toward the answer to three decimal places.

QUESTION 14

1. A small IT consulting firm has the following salaries (in thousands of dollars):

   72.6 46.3 84.5 84.6 90.6.

   Compute the sample range of the salaries. Take all calculations to two decimal places.

QUESTION 15

1. Yearly donations to a university's alumni association from a sample of its top donors are given below:

   26.5, 23.5, 29.7, 24.8, 21.1, 24.3, 20.4, 22.7, 27.2, 23.7, 24.1, 24.8, 28.2

   Find the 15th percentile.

QUESTION 16

1. A basketball player has scored the following points in her last 9 games:

   20, 25, 32, 18, 19, 22, 15, 24, and 16

   Compute the 85th percentile.

QUESTION 17

1. A mutual fund you purchased in the years 2011-2014 has the following rates of return, in chronological order beginning in 2011:

   0.50, 0.30, -0.10, -0.15.

   Calculate the geometric mean return. Report your answer as a decimal, NOT a percent, to three decimal places.

QUESTION 19

1. Chebyshev's Theorem states that for any distribution of data, the percentage of observations in a data set that fall within 2.4 standard deviations of the mean is at least _______________. Enter your answer as a percentage to one (1) decimal place without the % sign.

   Hint: z in the Chebyshev formula doesn't have to be a whole number; it just has to be greater than 1.

Select the left-skewed histogram from the choices below. Click on the center of your answer choice and make sure you are using Chrome or Firefox. QUESTION 8 2 points Save Answer In the box plot shown below, select the location of the maximum observation. Clicking anywhere that represents the correct percentile on the box plot is acceptable. 1 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 Selected Coordinates Clear The following boxplots show the closing share prices for a sample of technology companies on the first trading days in August 2007 (left) and in August 2002 (right). Which of the following statements is true? Boxplot of Aug. 2007, Aug. 2002 100 80 60 Data 40 20 0 Aug. 2007 Aug. 2002 1. The median closing share price is higher in August 2007 than in August 2002. II. Closing prices are more variable in August 2007 than in August 2002. III. The distribution of closing prices in August 2007 is more symmetric than the distribution of closing prices in August 2002. I only I, II, and III I and II only O ll only O ill only A box plot of NFL player ages in years) is shown below: 1 1 1 1 1 1 1 1 1 1 1 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 Using the box plot, find the five-number summary measures below. Enter whole-number answers (numbers without decimal points) for each measure. 1). Minimum = 2). 25th Percentile = 3). Median = 4). 75th Percentile = 5). Maximum = The interquartile range (IQR) is: QUESTION 11 Suppose the a histogram for the heights of two year old children is approximately bell shaped, as shown below, with a mean of 27 inches and a standard deviation of 1.5 inches. Using the 68-95-99.7 rule, about what proportion of heights are between 22.5 and 31.5? 99.7 95 88.89 75 O 68 QUESTION 18 A financial advisor makes a histogram of quarterly returns for a mutual fund and notices that the graph has a bell-shaped distribution like that shown below. The mean is found to be 0.067 and the standard deviation is 0.055. Using the concept of the 68- 95-99.7 rule, what would be the most that a client who is interested in the investment could reasonably expect to lose, to three decimal places? Hint: A loss of L is the same thing as a return of -L. Enter your answer as a loss. For example, if you calculate the answer to be -0.04, enter 0.04 (without the negative sign). QUESTION 20 The sample mean of sixty grocery store receipts is $65.75 and the sample standard deviation is $10.55. Using Chebyshev's Theorem, 93.75% of the store receipts are between $ v and $ QUESTION 21 A(n) is an observation that is unusually small or large compared with the rest of the data. median outlier percentile statistic O parameter QUESTION 22 A box plot of NFL player heights (in inches) is shown below: Height 1 71 72 73 74 75 76 77 78 79 80 Using the box plot and the IQR criterion, we can say that a player would be an outlier in terms of height if he is below inches or above inches. Report your answers to one (1) decimal place. QUESTION 23 A scatter plot of two variables, X and Y, is shown below. Enter a reasonable value for the correlation. Note: There is no calculation involved here. Just by looking at the plot, you won't be able to find the value of the correlation exactly. What I'm looking for is for you to guess a "ballpark" figure, based on the appearance of the plot and what you know about what the possible values of the correlation coefficient rare. o Oo -35 -30 -25 -20 -15 -10 4 6 8 10 12 14 X Activate Windows QUESTION 24 Based only on the appearance of the scatterplot of X versus Y shown below, which of the following is the best guess at the value of r the coefficient of correlation? Hint: There is no calculation needed here. Use the properties of correlation to choose. Scatterplot of Y YS X 20- 15 10 8 10 12 14 16 18 X -1.00 0.50 0.90 -0.90 Activate Windows 0.15 QUESTION 25 A perfect straight line sloping downward, such as what is shown below, would indicate that the correlation between X and Y is which of the following? Hint: You do not need to calculate anything for this problem; use what you know about correlation to answer the question. 2 0 1 3 5 -1.0 -0.75 0.25 0.0 Activate Window Go to Settings to activ +1.0