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Slav-nsk [51]
3 years ago
13

You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard devia

tion is approximately ?=62.3?=62.3. You would like to be 95% confident that your estimate is within 2 of the true population mean. How large of a sample size is required?
Use a z* value accurate to TWO places for this problem. (Not z = 2)
n =________________.
Mathematics
1 answer:
Vinvika [58]3 years ago
4 0

Answer:

n= 3,727.590 = 3,728

Step-by-step explanation:

Given that,

Population standard deviation, σ=62.3

Margin of error, ME=2

95% confidence interval

The margin of error is defined as:  ME= Z0.05/2 × σ/√n

2 = 1.96×62.3/√n

√n = <u>1.96×62.3</u>

            2

√n = 61.054

n = 3,727.590 = 3,728

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