Question

Week 6 Assignment: Confidence Interval for Population Mean- Population Standard Deviation Known Question supplement bottle is 16 pills. If we want to be 95 % confident The population standard deviation for the number of pills that the sample mean is within 5 pills of the true population mean, what is the minimum sample size that should be taken? in a Zo,01 Z0,005 Zo.10 Zo.05 Zo025 2.576 2.326 1.645 1.960 1.282 Use the table above for the z-score, and be sure to round up to the nearest integer. Provide youganswer below: supplement bottles MORE INSTRUCTION B FEEDBACK Content attribution Nexts Previous Mac Book Pro

Answer 1

Solution :

Given that,

$\sigma$ = 16

E = 5

At 95% confidence level the z is ,

$\alpha$ = 1 - 95% = 1 - 0.95 = 0.05

$\alpha$ / 2 = 0.05 / 2 = 0.025

Z_$\alpha$/2 = Z_0.025 = 1.960

sample size n = (Z_{$\alpha$/2 *} $\sigma$ / E)²

⁼(^{1.960* 16 /5})²

n =39