Unemployment rate

Over the last 16 years, the country's unemployment rate has changed according to the following frequency table:
years of unemployment: 2 5 2 3 3 1
unemployment rate: 0.5 1 1.5 2 2.5 3 in % (percent).

Determine the two-sided confidence interval for the variance DN with a confidence level of 0.95.

Correct answer:

a =  1.224 %
b =  1.9635 %

Step-by-step explanation:

n=2+5+2+3+3+1=16 α=0.95  μ=n2 0.5+5 1+2 1.5+3 2+3 2.5+1 3=162 0.5+5 1+2 1.5+3 2+3 2.5+1 3=32511.5938  E2=2 (0.5μ)2+5 (1μ)2+2 (1.5μ)2+3 (2μ)2+3 (2.5μ)2+1 (3μ)2=2 (0.53251)2+5 (13251)2+2 (1.53251)2+3 (23251)2+3 (2.53251)2+1 (33251)2=645839.1094  V=E2/n=64583/n=9.1094/16=10245830.5693  σ=V=0.56930.7545 α=0.95 α2=1(10.95)/2=4039=0.975 u(0.975)=1.96 u=1.96  r=u σ/n=1.96 0.7545/160.3697  a=μr=3251r=1.59380.3697=1.224%
b=μ+r=3251+r=1.5938+0.3697=1.9635%



Did you find an error or inaccuracy? Feel free to write us. Thank you!







Tips for related online calculators
Looking for help with calculating arithmetic mean?
Looking for a statistical calculator?
Looking for a standard deviation calculator?
Our percentage calculator will help you quickly calculate various typical tasks with percentages.

You need to know the following knowledge to solve this word math problem:


 
We encourage you to watch this tutorial video on this math problem: video1   video2

Related math problems and questions: