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Question: Hotels’ use of ecolabels.Refer to the Journal of Vacation Marketing(January 2016) study of travelers’ familiaritywith ecolabels used by hotels, Exercise 2.42 (p. 94). Recallthat a sample of 392 adult travelers were shown a list of6 different ecolabels, and asked, “How familiar are youwith this ecolabel, on a scale of 1 (not familiar at all) to5 (very familiar).” The mean and standard deviation ofthe responses for each ecolabel are provided in the table.Which of the ecolabels had the most variation in numericalresponses? Explain.

Ecolabel

Mean

Std. Dev.

Energy Star

4.44

0.82

TripAdvisor

3.57

1.38

Green Leaders Audubon

2.41

1.44

International U.S Green

2.28

1.39

Building Council Green Business

2.25

1.39

Green Key

2.01

1.30

Short Answer

Expert verified

Green Leaders Audubon has the most variation in numerical responses.

Step by step solution

01

Meaning of Standard Deviation

Standard deviation helps us understand the variation in the data set or how far the data is spread from the mean.When the standard deviation is high, the data is spread out far from the mean. When it is low, the data is very close to the mean.

02

Identifying the ecolabel with the most variation

As the standard deviation value is the highest for Green Leaders Audubon, we can infer that it has the most variation in numerical response. The responses are spread out far from the mean and are highly varied.

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Most popular questions from this chapter

Question: The output from a statistical software package indicates that the mean and standard deviation of a data set consisting of 200 measurements are \(1,500 and \)300, respectively.

a.What are the units of measurement of the variable of interest? Based on the units, what type of data is this: quantitative or qualitative?

b.What can be said about the number of measurements between \(900 and \)2,100? Between \(600 and \)2,400? Between \(1,200 and \)1,800? Between \(1,500 and \)2,100?

A sample data set has a mean of 57 and a standard deviation of 11. Determine whether each of the following sample measurements are outliers.

a.65

b.21

c.72

d.98

Question: Corporate sustainability of CPA firms.Refer to the Business and Society(March 2011) study on the sustainability

behaviors of CPA corporations, Exercise 2.48 (p. 96). Numerical measures of variation for level of support for the 992 senior managers are shown in the accompanying Minitab printout.

Descriptive Statistics: Support

Variable

N

Mean

StDev.

Variance

Minimum

Maximum

Range

Support

992

67.755

26.871

722.036

0.000

155.000

155.000

a.Locate the range on the printout. Comment on the accuracy of the statement: “The difference between the largest and smallest values of level of support for the 992 senior managers is 155 points.”

b.Locate the variance on the printout. Comment on the accuracy of the statement: “On average, the level of support for corporate sustainability for the 992 senior managers is 722 points.”

c.Locate the standard deviation on the printout. Does the distribution of support levels for the 992 senior managers have more or less variation than another distribution with a standard deviation of 50? Explain.

d.Which measure of variation best describes the distribution of 992 support levels? Explain.

Motivation of drug dealers.Consider a study of drug dealers and their motivation for participating in the illegal drug market (Applied Psychology in Criminal Justice, September 2009). The sample consisted of 100 convicted drug dealers who attended a court-mandated counseling program. Each dealer was scored on the Wanting Recognition (WR) Scale, which provides a quantitative measure of a person’s level of need for approval and sensitivity to social situations. (Higher scores indicate a greater need for approval.) The sample of drug dealers had a mean WR score of 39, with a standard deviation of 6. Assume the distribution of WR scores for drug dealers is mound-shaped and symmetric.

a.Give a range of WR scores that will contain about 95% of the scores in the drug dealer sample.

b.What proportion of the drug dealers had WR scores above 51?

c.Give a range of WR sores that contain nearly all the scores in the drug dealer sample.

Lead in drinking water. The U.S. Environmental Protection Agency (EPA) sets a limit on the amount of lead permitted in drinking water. The EPA Action Level for lead is .015 milligram per liter (mg/L) of water. Under EPA guidelines, if 90% of a water system’s study samples have a lead concentration less than .015 mg/L, the water is considered safe for drinking. I (coauthor Sincich) received a recent report on a study of lead levels in the drinking water of homes in my subdivision. The 90th percentile of the study sample had a lead concentration of .00372 mg/L. Are water customers in my subdivision at risk of drinking water with unhealthy lead levels? Explain.

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