Statistics Through Applications
Statistics Through Applications
2nd Edition
ISBN: 9781429219747
Author: Daren S. Starnes, David Moore, Dan Yates
Publisher: Macmillan Higher Education
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Chapter 3.1, Problem 3.16E

(a)

To determine

To write a sentence about the actual unemployment rates in December and September 2008.

(a)

Expert Solution
Check Mark

Explanation of Solution

Given:

  Actual percentage:September 2008: 6.9%December 2008: 4.5%

The percentage of the September 2008 was higher than the December 2008, in September 2008 it was 6.9% and in December 2008 it was 4.5%.

(b)

To determine

To compare the percentile of the two months September and December 2008 for Illinois.

(b)

Expert Solution
Check Mark

Explanation of Solution

Given:

  Mean = 4.5%Standard Deviation  = 1%

Calculation:

The no. of countries less unemployment rates than Illinois are 42 and the total no. of countries are 42.

  Percentile = No. of countries less and equal to IllinoisTotal no. of countries×100=4250×100=84th percentile

The unemployment percentile of Illinois is 80th in September and in December it increases to 84th percentile.

(c)

To determine

To calculate the percentile for the Illinois.

(c)

Expert Solution
Check Mark

Answer to Problem 3.16E

September 2008: 3.43

December 2008: 1.03

Explanation of Solution

Formula used:

  Z=xμσ

Calculation:

The standard score of September 2008:

  z=6.93.471=3.43

The standard score of December 2008:

  z=4.53.471=1.03

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