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What is the minimum sample size required for estimating ? for N(?, ?2=121) to within ±...

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Basic Math

What is the minimum sample size required for estimating ? forN(?, ?2=121) to within ± 2 with confidence levels 95%,90%, and 80%?

a. Find the minimum sample size for the 95%confidence level. Enter an integer below. You must round up.

b. Find the minimum sample size for the 90%confidence level.

c. Find the minimum sample size for the 80%confidence level.

Answer & Explanation Solved by verified expert
4.0 Ratings (525 Votes)

a)

for 95 % CI value of z= 1.960
standard deviation ?= 11.00
margin of error E = 2
required sample size n=(z?/E)2                                         = 117.0

b)

for 90 % CI value of z= 1.645
standard deviation ?= 11.00
margin of error E = 2
required sample size n=(z?/E)2                                         = 82.0

c)

for 80 % CI value of z= 1.282
standard deviation ?= 11.00
margin of error E = 2
required sample size n=(z?/E)2                                         = 50.0

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