Deon is Human Resources Manager for two hospitals in a metropolitan area. He is comparing data about the amount of sick leave (in days) taken by each of full-time nurses in each of the two hospitals. The histograms below show the distributions of the two data sets. Each histogram shows the number of days of sick leave taken on the horizontal axis and the number of full-time nurses on the vertical axis. The means and standard deviations for the data sets are also given. Hospital A Hospital B 25- 204 20- 15 15 10 10 54 15 25 35 45 55 65 75 0s 15 25 35 45 55 65 75 ES 95 05 ES 95 Hospital A mean: 6.6 days Hospital B mean: 5.0 days Hospital A standard deviation: 23 days Hospital B standard deviation: 1.5 days Deon wants to use the Empinical Rule to make some approximations about both data sets. Unfortunately, it is appropriate to use the Empirical Rule on only on of them! Answer the parts below to help Deon with his approximations. (a) Identify the data set for which it is appropriate to use the Empinical Rule. R 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 amounts of sick leave between 0.5 days and 9.5 days is approximately (Choose one) ▼

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 23PPS
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Deon is Human Resources Manager for two hospitals in a metropolitan area. He is comparing data about the amount of sick leave (in days) taken by each of 70
full-time nurses in each of the two hospitals. The histograms below show the distributions of the two data sets. Each histogram shows the number of days of
sick leave taken on the hortzontal axis and the number of full-time nurses on the vertical axis. The means and standard deviations for the data sets are also
given.
Hospital A
Hospital B
25
25
20
20-
15-
10
10+
54
5-
15 25 35 45 55 65
75 8S 95
05 15 25 35
55 65
85 95
4.5
7.5
Hospital A mean: 6.6 days
Hospital B mean: 5.0 days
Hospital A standard deviation: 23 days
Hospital B standard deviation: 1.5 days
Deon 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 Deon with his approximations.
(a) Identify the data set for which it is appropriate to use the Empirical Rule.
It is appropriate to use the Empirical Rule for the (Choose one) v data set.
For the data set identified in part (a), use the Empirical Rule to make the following approximations.
(b) The percentage of amounts of sick leave between 0.5 days and 9.5 days is approximately (Choose one) ▼
(c) Approximately 68% of the amounts of sick leave are between days and days.
Transcribed Image Text:Deon is Human Resources Manager for two hospitals in a metropolitan area. He is comparing data about the amount of sick leave (in days) taken by each of 70 full-time nurses in each of the two hospitals. The histograms below show the distributions of the two data sets. Each histogram shows the number of days of sick leave taken on the hortzontal axis and the number of full-time nurses on the vertical axis. The means and standard deviations for the data sets are also given. Hospital A Hospital B 25 25 20 20- 15- 10 10+ 54 5- 15 25 35 45 55 65 75 8S 95 05 15 25 35 55 65 85 95 4.5 7.5 Hospital A mean: 6.6 days Hospital B mean: 5.0 days Hospital A standard deviation: 23 days Hospital B standard deviation: 1.5 days Deon 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 Deon with his approximations. (a) Identify the data set for which it is appropriate to use the Empirical Rule. It is appropriate to use the Empirical Rule for the (Choose one) v data set. For the data set identified in part (a), use the Empirical Rule to make the following approximations. (b) The percentage of amounts of sick leave between 0.5 days and 9.5 days is approximately (Choose one) ▼ (c) Approximately 68% of the amounts of sick leave are between days and days.
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