statistics that a local chapter of sales professionals in the greater

| January 30, 2017

Question
Suppose that a local chapter of sales professionals in the greater San Francisco areaconducted a survey of its membership to study the relationship, if any, between theyears of experience and salary for individuals employed in inside and outside salespositions. On the survey, respondents were asked to specify one of three levels of yearsof experience: low (1–10 years), medium (11–20 years), and high (21 or more years). Aportion of the data obtained follow. The complete data set, consisting of 120 observations,is contained in the file named SalesSalary.Observation Salary $ Position Experience1 53938 Inside Medium2 52694 Inside Medium3 70515 Outside Low4 52031 Inside Medium5 62283 Outside Low6 57718 Inside Low7 79081 Outside High8 48621 Inside Low9 72835 Outside High10 54768 Inside Medium• • • •• • • •• • • •115 58080 Inside High116 78702 Outside Medium117 83131 Outside Medium118 57788 Inside High119 53070 Inside Medium120 60259 Outside LowManagerial Report1. Use descriptive statistics to summarize the data.2. Develop a 95% confidence interval estimate of the mean annual salary for all salespersons,regardless of years of experience and type of position.3. Develop a 95% confidence interval estimate of the mean salary for inside salespersons.4. Develop a 95% confidence interval estimate of the mean salary for outside salespersons.5. Use analysis of variance to test for any significant differences due to position. Usea .05 level of significance, and for now, ignore the effect of years of experience.6. Use analysis of variance to test for any significant differences due to years ofexperience. Use a .05 level of significance, and for now, ignore the effect of position.7. At the .05 level of significance test for any significant differences due to position,years of experience, and interaction.

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