An actuarial firm is conducting an analysis to model health insurance costs for two companies. One of the many factors they are using in the model is the ages of employees of the two companies. The firm has collected data on the ages (in years) of 79 employees of each company. The histograms below show the distributions of the two data sets. Each histogram shows age (in years) on the horizontal axis and the number of employees on the vertical axis. The means and standard deviations for the data sets are also given. Company A Company B 25 20- 15- 10- 5+ 19.5 24.5 29.5 34.5 39.5 44.5 49.5 54.5 59.5 64.5 69.5 Company A mean: 52.89 years 25- 20 15 10- 5+ 0 19.5 24.5 29.5 34.5 39.5 44.5 49.5 54.5 59.5 64.5 69.5 Company B mean: 44.59 years Company A standard deviation: 11.98 years Company B standard deviation: 8.16 years The firm wants to use the Empirical Rule to make some approximations about both data sets. Unfortunately, it is appropriate to use the Empirical Rule on only one of them! The firm wants to use the Empirical Rule to make some approximations about both data sets. Unfortunately, it is appropriate to use the Empirical Rule on only one of them! Answer the parts below to help the actuarial firm with their approximations. (a) Identify the data set for which it is appropriate to use the Empirical Rule. × G It is appropriate to use the Empirical Rule for the (Choose one) data set. For the data set identified in part (a), use the Empirical Rule to make the following approximations. (b) The percentage of ages between 36.43 years and 52.75 years is approximately (Choose one) (c) Approximately 99.7% of the ages are between years and years. An actuarial firm is conducting an analysis to model h of employees of the two companies. The firm has coll distributions of the two data sets. Each histogram sho standard deviations for the data sets are also given. Company A 10- 5- 19.5 24.5 205 315 395 145 155 545 595 Company A mean: 52.89 years Company A standard deviation: 11.98 The firm want to use the Empirical Rule to make wan one of them!

An actuarial firm is conducting an analysis to model health insurance costs for two companies. One of the many factors they are using in the model is the ages of employees of the two companies. The firm has collected data on the ages (in years) of 79 employees of each company. The histograms below show the distributions of the two data sets. Each histogram shows age (in years) on the horizontal axis and the number of employees on the vertical axis. The means and standard deviations for the data sets are also given. Company A Company B 25 20- 15- 10- 5+ 19.5 24.5 29.5 34.5 39.5 44.5 49.5 54.5 59.5 64.5 69.5 Company A mean: 52.89 years 25- 20 15 10- 5+ 0 19.5 24.5 29.5 34.5 39.5 44.5 49.5 54.5 59.5 64.5 69.5 Company B mean: 44.59 years Company A standard deviation: 11.98 years Company B standard deviation: 8.16 years The firm wants to use the Empirical Rule to make some approximations about both data sets. Unfortunately, it is appropriate to use the Empirical Rule on only one of them! The firm wants to use the Empirical Rule to make some approximations about both data sets. Unfortunately, it is appropriate to use the Empirical Rule on only one of them! Answer the parts below to help the actuarial firm with their approximations. (a) Identify the data set for which it is appropriate to use the Empirical Rule. × G It is appropriate to use the Empirical Rule for the (Choose one) data set. For the data set identified in part (a), use the Empirical Rule to make the following approximations. (b) The percentage of ages between 36.43 years and 52.75 years is approximately (Choose one) (c) Approximately 99.7% of the ages are between years and years. An actuarial firm is conducting an analysis to model h of employees of the two companies. The firm has coll distributions of the two data sets. Each histogram sho standard deviations for the data sets are also given. Company A 10- 5- 19.5 24.5 205 315 395 145 155 545 595 Company A mean: 52.89 years Company A standard deviation: 11.98 The firm want to use the Empirical Rule to make wan one of them!

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section: Chapter Questions

Problem 9SGR

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