a.Computex,s2, andsfor this sample.b.Count the number of measurements in the intervalsx{s,x{2s, andx{3s. Express each count as apercentage of the total number of measurements.c.Compare the percentages found in partbwith thepercentages given by the empirical rule and Chebyshev’srule.d.Calculate the range and use it to obtain a rough approx-imation fors. Does the result compare favorably withthe actual value forsfound in parta2.99Given a data set with a largest value of 760 and a smallestvalue of 135, what would you estimate the standard devia-tion to be? Explain the logic behind the procedure you usedto estimate the standard deviation. Suppose the standarddeviation is reported to be 25. Is this number reasonable?Explain.Applying the Concepts—Basic2.100Do social robots walk or roll?Refer to theInternationalConference on Social Robotics(Vol. 6414, 2010) study onthe current trend in the design of social robots, Exercise 2.7(p. 66). Recall that in a random sample of social robots ob-tained through a Web search, 28 were built with wheels. Thenumbers of wheels on each of the 28 robots are listed in thetable on p. 105.a.Generate a histogram for the sample data set. Is thedistribution of number of wheels mound shaped andsymmetric?b.Find the mean and standard deviation for the sampledata set.c.Form the intervalx{2sROBOTS?.Data Set:BDD

a.Assuming that nothing is known about the shape ofthe distribution for the data, what percentage of den-tists use less than 102 units of local anesthetics perweek?b.Assuming that the data have a mound-shaped distribu-tion, what percentage of dentists use less than 102 unitsof local anesthetics per week?2.104Irrelevant speech effects.Refer to theAcoustical Science& Technology(Vol. 35, 2014) study of irrelevant speech ef-fects, Exercise 2.34 (p. 77). Recall that subjects performeda memorization task under two conditions: (1) with irrele-vant background speech and (2) in silence. The differencein the error rates for the two conditions—called the rela-tive difference in error rate (RDER)—was computed foreach subject. Descriptive statistics for the RDER valuesare shown in the SAS printout.a.Based on the histogram shown in Exercise 2.34, whichrule is more appropriate for describing the distributionof the RDER values? Why?b.Apply the rule you selected in partato the data.Specifically, estimate the proportion of RDER valuesthat fall in the intervalx{2s.2.105Corporate sustainability of CPA firms.Refer to theBusiness and Society(Mar. 2011) study on the sustainabil-ity behaviors of CPA corporations, Exercise 2.36 (pp. 78).Recall that the level of support for corporate sustainability(measured on a quantitative scale ranging from 0 to 160points) was obtained for each 992 senior managers at CPAfirms. Numerical measures of both central tendency andvariation for level of support are shown in the MINITABprintout below. Give an estimate of the number of the 992senior managers who have support levels between 41 and95 points. (Use the histogram in Exercise 2.36 to help youdecide which rule to apply.)Applying the Concepts—Intermediate2.106Characteristics of antiwar demonstrators.The charac-teristics of antiwar demonstrators in the United Stateswere examined in theAmerican Journal of Sociology(Jan. 2014). Using data collected for over 5,000 antiwardemonstrators over a recent 3-year period, the research-ers found that the mean number of protest organizationsjoined by the demonstrators was .90 with a standard devi-ation of 1.10.ISRSUSTAIN

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