Question

Determine the sample size needed to obtain an estimate of µ if the margin of error E = 0.06, σ = 0.75, and the confidence level is 99%

**a)** Find *α* for 99% confidence
level.

*α* =

**(b)** Find 1 − *α*/2.

1 − *α*/2 =

**(c)** Find *z _{α}*

Answer #1

Solution :

Given that,

standard deviation = =0.75

Margin of error = E = 0.06

At 99% confidence level the z is,

= 1 - 99%

= 1 - 0.99 = 0.01

/2 = 0.005

Z/2 = 2.576

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

n = ( 2.576*0.75 / 0.06 )2

n =1036.84

Sample size = n =1037

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