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Quantitive Analysis for Business 315*301 Test 1
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The variables for which data were collected for study about online shopping include age, gender, income, and number of hours spent shopping online per month. Which of the variables is categorical variable?
Gender
Suppose data on variable X has a mean of 1175 and standard deviation of 250. One observation of variable X has a value of 1500. Suppose data on another variable Y has a mean of 52 and standard deviation of 15. One observation of variable Y has a value of 97.
a. Compute the z-scores of the given observations of X and Y.
b. Which value, X value of 1500 or Y value of 97, is more extreme? Explain.
a. z-score of 1500 = (1500 - 1175)/250 = 325/250 = 1.30
z-score of 97 = (97-52)/15 = 45/15 = 3.00.
b. The Y value of 97 is more extreme because it is 3 SD further away from its mean.
In listing a property, real estate agencies provide information on a number of variables. Which of the following variables related to property listings is categorical?
style of home
A customer service center keeps track of the number of complaints received each day about one of their new products. The number of complaints received over the last 11 days are given below.
Day # Complaints
1 19
2 18
3 22
4 21
5 17
6 18
7 22
8 20
9 16
10 23
11 25
a. Compute the mean of this sample data.
b. What is the median of this sample data?
c. What is the mode of this sample data?
d. If the sum of squares of the deviations from the mean, ( ) = 76.91, what are variance and the standard deviation? (You may round your answers to 3 decimal places.)
a. mean = sum of complaints/11 = 19 + 18 + 22 + 21 + 17 + 18 + 22 + 20 + 16 + 23 + 25 = 221/11= 20.1.
b. Arrange the data from the lowest to the highest.
16 17 18 18 19 20 21 22 22 23 25.
The median is 20.
c. What is the mode of this sample data?
16 17 18 18 19 20 21 22 22 23 25.
18 and 22. These data is bimodal.
d. Variance (S2) = 76.91/n-1 = 76.91/10 = 7.691.
Standard Deviation (s) = sq. rt of 76.91 = 2.773
Which of the following are cross- sectional data?
graduation rates of Kentucky high schools in 2014
A national retailer of electronics conducted a survey to determine consumer preferences for various brands of digital cameras and the data are summarized in the table below. What percent of all consumers prefer Sony Cyber shot?
Total 383 305 688
13.2%
The histogram below shows the distribution of salaries in dollars for a sample of U.S. marketing managers. The most appropriate measure of central tendency for these data would be the:
median
Consider the data set given below.
110 125 99 115 119 95 110 132 85.
a. What is the median, Q2?
b. What is the lower quartile, Q1? (Include the median with the lower half of the data).
c. What is the upper quartile, Q3? (Include the median with the upper half of the data).
d. What is the interquartile (IQR)?
a. Arrange the data from lowest to highest as follows.
85 95 99 110 110 115 119 125 132
Since the observation is odd, the median (Q2) is 110 - half of the data lie below this and half above it.
b. Including the median with the lower half of the data, the lower half of the data is:
85 95 99 110 110
Since this data is odd, the lower quartile (Q1) is the median of these data, which is 99.
c. Including the median with the upper half of the data, the upper half is:
110 115 119 125 132.
Since this data is odd, the upper quartile (Q3) is the median of these data, which is 199.
d. IQR = Q3 - Q2 = 119 - 99 = 20.
A national retailer of electronics conducted a survey to determine consumer preferences for various brands of digital cameras and the data are summarized in the table below. What percent of the consumers who choose Nikon Cool Pix are females?
51.0%
A company interested in the health of its employees started a health program including monitoring blood pressure. Based on age, employees were categorized according to ranges of blood pressure by age intervals. Data are shown in the table below. Of all employees, what is the percent who are over 50 and have high blood pressure?
15.0%
The following boxplots show monthly sales revenue figures ($ thousands) for an office supply company with locations in three different regions of the U.S. (Northeast, Southeast, and West).
Which of the following statement is true about these data based on the boxplots above?
the Southeast has the lowest median sales revenue
A regional survey was carried out to measure public opinion on the controversial Arizona Immigration Law and the results are shown below. What percent of the Democrats who responded oppose the law?
60.7%
Variability of data can be displayed with a boxplot. For as skewed distribution of data, which of the following is true?
the median is not in the center of the box
The histogram below shows the distribution of salaries in dollars for a sample of U.S. marketing managers. The shape of the distribution of salaries is:
Right Skewed
A restaurant uses comment cards to get feedback from its customers about newly added items to the menu. It recently introduced homemade organic veggie burgers. Customers who tried the new burger were asked if they would order it again. The data are summarized in the table below. What percent of customers would most likely order the veggie burger again?
Response
Frequency
Definitely would.
10
Most likely would.
40
Maybe
12
Definitely would not.
3
61.5%
A research project conducted telephone interviews with a sample of American adults aged 18 and older about online shopping. American adults aged 18 and older constitute which of the following of the study?
Who
A national retailer of electronics conducted a survey to determine consumer preferences for various brands of digital cameras and the data are summarized in the table below. Of the consumers who are male, what percent prefer Sony Cyber Shot?
10.8%
A company interested in the health of its employees started a health program including monitoring blood pressure. Based on age, employees were categorized according to ranges of blood pressure by age intervals. Data are shown in the table below. Of all employees, what is the percent who are under 30 and have normal blood pressure?
10.0%
Businesses are interested in the work experience of recent graduates from a local business school. Whether or not the graduates have work experience constitutes which of the following of the study?
What
A magazine that publishes product reviews conducted a survey of teenagers' preferences for cell phones. Three brands of cell phones designed specifically with teens in mind were the focus of the study. The table summarizes responses by brand and gender. What percent of all teenagers prefer LG Rumor?
Cell Phone
Male
Female
LG Rumor
55
87
Sidekick LX
99
150
BlackJack II
196
113
20.3%
Consider the following five number summary of hourly wages ($) for a sample of sales managers.
Min Q1 Median Q3 Max
20.94 37.64 44.77 49.34 67.11
Which of the following is correct based on this information?
the interquartile range (IQR) is 11.70
Which of the following can be used to re-express or transform right-skewed data?
taking the logarithm
A study on tipping takes into consideration the median amount of tipping for service providers. The median amount of tipping is:
a quantitative variable
Construct a stem and leaf display of the following data.
10 12 15 12 22 22 28 41 25 38 42
Stem Leaf
1 0 2 2 5
2 2 2 5 8
3 8
4 1 2
In a survey undertaken by a university to gauge student satisfaction in its online MBA program,
one question asked students to indicate the number of credits they had transferred into the program. The number of credits is:
quantitative variable
A magazine that publishes product reviews conducted a survey of teenagers' preferences for cell phones. Three brands of cell phones designed specifically with teens in mind were the focus of the study. The table summarizes responses by brand and gender. What percent of male teenagers prefer BlackJack II?
Cell Phone
Male
Female
LG Rumor
55
87
Sidekick LX
99
150
BlackJack II
196
113
56%
A magazine that publishes product reviews conducted a survey of teenagers' preferences for cell phones. Three brands of cell phones designed specifically with teens in mind were the focus of the study. The table summarizes responses by brand and gender. What percent of female teenagers prefer Sidekick LX?
Cell Phone
Male
Female
LG Rumor
55
87
Sidekick LX
99
150
BlackJack II
196
113
42.9%
A regional survey was carried out to measure public opinion on the controversial Arizona Immigration Law and the results are shown below. What percent of the Republicans who responded oppose the law?
31.0%
Which of the following are time series data?
weekly receipts at a clothing boutique
monthly demand for an automotive part
quarterly sales of automobiles
Correct --all of the above.
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