Question

You are going to estimate how long a person holds down a button on their calculator...

You are going to estimate how long a person holds down a button on their calculator by randomly selecting people and asking them to do something on your calculator (which has a special timer to record how long the enter button is pressed). You practiced on the people at work and found a standard deviation of about 1.46 seconds. You want to get a 83% confidence interval that is only 0.2 in width. How many people do you need to have in your study?
Remember to always round up on sample size calculations.

Homework Answers

Answer #1

Solution :

Given that,

standard deviation =   =1.46

Margin of error = E = width / 2 = 0.2/ 2=0.1

At 83% confidence level the z is ,

= 1 - 83% = 1 - 0.83= 0.17

/ 2 = 0.17 / 2 = 0.085

Z/2 = Z0.085 = 1.37

sample size = n = [Z/2* / E] 2

n = ( 1.37*1.46 /0.1 )2

n =400

Sample size = n =400

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