See pictures and graphic for questions A, B and CProblemMiguel 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 104 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 AHospital Blim20-20-15415-10410-150.54.5 5.5 6S 75 85i9.5 10,50.5 1.52.5 3.55.563 75 8.5152.5 3.54.59.5 10.5Hospital A mean: 5.5 daysHospital B mean: 4.1 daysHospital A standard deviation: 1.6 daysHospital B standard deviation: 2.7 days Miguel wants to use the Empirical Rule to make some approximations about both data sets. Unfortunately, it is appropriate to use the Empirical Rule on anly oneof themiHospial A/HospitalB.-68%, 75%, 955%99.7%Answer the parts below to help Miguel 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) 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 3.9 days and 7.1 days is approximately (Choose one) ▼(c) Approximately 99.7% of the amounts of sick leave are between days and days.

It is given that For hospital A, mean = 5.5 and SD = 1.6 For hospital B, mean = 4.1 and SD = 2.7

Answered: (a) Identify the data set for which it…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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See pictures and graphic for questions A, B and C

Problem

Miguel 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 104 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
lim
20-
20-
154
15-
104
10-
15
0.5
4.5 5.5 6S 75 85i9.5 10,5
0.5 1.5
2.5 3.5
5.563 75 8.5
15
2.5 3.5
4.5
9.5 10.5
Hospital A mean: 5.5 days
Hospital B mean: 4.1 days
Hospital A standard deviation: 1.6 days
Hospital B standard deviation: 2.7 days

Miguel wants to use the Empirical Rule to make some approximations about both data sets. Unfortunately, it is appropriate to use the Empirical Rule on anly one
of themi
Hospial A/Hospital
B.
-68%, 75%, 955%
99.7%
Answer the parts below to help Miguel 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) 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 3.9 days and 7.1 days is approximately (Choose one) ▼
(c) Approximately 99.7% of the amounts of sick leave are between days and days.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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