Question

Question 3

Earl Grey:

You want to know how many people in a certain population like earl grey tea? How many people should you question to have a 90% confidence and a sampling error 14%?

Please explain and show your work

Sample Size Determination
Data
Population Standard Deviation	8
Sampling Error	0.14
Confidence Level	90%
Intemediate Calculations
Z Value	-1.6449
Calculated Sample Size	8834.4276
Result
Sample Size Needed	8835.0000

Answer 1

Population Standard deviation, = 8

Confidence level= 90%

alpha, = 0.1

Critical value , = 1.6449

Sampling error= 0.14

= 0.14

= 0.14

= 93.9943

Squaring both sides we get,

n= 8834.92957 = 8835

So, 8835 people you should question to have a 90% confidence and a sampling error 14%