Question

In: Statistics and Probability

The American Society of PeriAnesthesia Nurses (ASPAN; www.aspan.org) is a national organization serving nurses practicing in...

The American Society of PeriAnesthesia Nurses (ASPAN; www.aspan.org) is a national organization serving nurses practicing in ambulatory surgery, preanesthesia, and postanesthesia care. The organization's membership is listed below.

State/Region   Membership
Alabama      64     
Arizona      515     
Maryland, Delaware, DC      303     
Connecticut      191     
Florida      715     
Georgia      232     
Hawaii      95     
Maine      76     
Minnesota, Dakotas      286     
Missouri, Kansas      349     
Mississippi      55     
Nebraska      78     
North Carolina      734     
Nevada      113     
New Jersey, Bermuda      328     
Alaska, Idaho, Montana,Oregon, Washington      875     
New York      1,075     
Ohio      623     
Oklahoma      112     
Arkansas      51     
Illinois      595     
Indiana      315     
Iowa      93     
Kentucky      130     
Louisiana      301     
Michigan      413     
Massachusetts      343     
California      939     
New Mexico      105     
Pennsylvania      392     
Rhode Island      30     
Colorado      534     
South Carolina      175     
Texas      999     
Tennessee      238     
Utah      50     
Virginia      498     
Vermont, New Hampshire      104     
Wisconsin      430     
West Virginia      62     

Click here for the Excel Data File

Find the mean, median, and standard deviation of the number of members per component. (Round your answers to 2 decimal places.)

b-1. Find the coefficient of skewness, using the software method. (Round your answer to 2 decimal places.)

b-2. What do you conclude about the shape of the distribution of component size?

Mild positive skewness
Mild negative skewness

Determine the first and third quartiles. Do not use the method described by Excel. (Round your answers to 2 decimal places.)

d-1. Are there any outliers?

Zero
One
Three
Four
Two

d-2. What are the limits for outliers? (Round your answers to the nearest whole number. Negative amounts should be indicated by a minus sign.)

Solutions

Expert Solution

Please refer below provided Minitab output:

To get the output

Open Minitab - Go to Stat - Basic Satistics - Display Descriptive Statistics - In Satistics option choose the terms you want to calculate.

a) Mean = 340.4, Median = 293.5, Standard Deviation = 289.3

b) Coefficient of Skewness = 1.05

c) Since, Mean > Median, the shape of distribution is positively skewed.

d) The First and Third quartiles will be:

Q1 = 97.3 and Q3 = 510.8

e) There are five outliers.

f) The limits of outliers can be calculated as below:

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