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You may need to use the appropriate technology to answer this question. To identify high-paying jobs for people who do not like stress, the following data were collected showing the average annual salary ($1,000s) and the stress tolerance for a variety of occupations.+ Average Annual Job Stress Tolerance Salary ($1,000s) Art directors Astronomers 81 69.0 96 62.0 Audiologists 70 67.5 Dental hygienists 70 71.3 Economists 92 63.3 Engineers 92 69.5 Law teachers 100 62.8 Optometrists Political scientists 98 65.5 102 60.1 Urban and regional planners 65 69.0 The stress tolerance for each job is rated on a scale from 0 to 100, where a lower rating indicates less stress. (c) At the 0.05 level of significance, does there appear to be a significant statistical relationship between the two variables? (Use the F test.) State the null and alternative hypotheses. Ho: B 20 1 H (d) Would you feel comfortable in predicting the stress tolerance for a different occupation given the average annual salary for the occupation? Explain. (Round your answer to three decimal places.) Since =559 X is at least 0.55 v the estimated regression equation provided a good fit. Therefore, we should average annual salary if the value of the average annual salary is within the range of the current data. feel comfortable using the estimated regression equation to estimate the stress level tolerance given the You may need to use the appropriate technology to answer this question. To identify high-paying jobs for people who do not like stress, the following data were collected showing the average annual salary ($1,000s) and the stress tolerance for a variety of occupations.+ Average Annual Job Stress Tolerance Salary ($1,000s) Art directors Astronomers 81 69.0 96 62.0 Audiologists 70 67.5 Dental hygienists 70 71.3 Economists 92 63.3 Engineers 92 69.5 Law teachers 100 62.8 Optometrists Political scientists 98 65.5 102 60.1 Urban and regional planners 65 69.0 The stress tolerance for each job is rated on a scale from 0 to 100, where a lower rating indicates less stress. (c) At the 0.05 level of significance, does there appear to be a significant statistical relationship between the two variables? (Use the F test.) State the null and alternative hypotheses. Ho: B 20 1 H (d) Would you feel comfortable in predicting the stress tolerance for a different occupation given the average annual salary for the occupation? Explain. (Round your answer to three decimal places.) Since =559 X is at least 0.55 v the estimated regression equation provided a good fit. Therefore, we should average annual salary if the value of the average annual salary is within the range of the current data. feel comfortable using the estimated regression equation to estimate the stress level tolerance given the
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