Question

CO6) What is the 97% confidence interval for a sample of 104 soda cans that have a mean amount of 15.10 ounces and a population standard deviation of 0.08 ounces?
@See text page 301

(15.940, 15.260)
 

(15.083, 15.117)

(15.020, 15.180)

(12.033, 12.067)

Answer 1

Solution :

Given that,

Point estimate = sample mean = = 15.10

Population standard deviation = = 0.08

Sample size = n = 104

At 97% confidence level the z is ,

= 1 - 97% = 1 - 0.97 = 0.03

/ 2 = 0.03 / 2 = 0.015

Z_/2 = Z_0.015 = 2.17

Margin of error = E = Z_/2* ( /n)

= 2.17 * (0.08 / 104)

= 0.017

At 97% confidence interval estimate of the population mean is,

- E < < + E

15.10 - 0.083 < < 15.10 + 0.083

15.083 < < 15.117

(15.083 , 15.117)