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Please answer and explain why?

EP-BY-STEP SOLUTION TO:

Question

Please answer and explain why? I am gettingThe 90% CI is 1,000.00 ± 0.0165 which is not

listed in the answers?

A company produces precision 1 meter (1000 mm) rulers. The actual distribution of lengths of the rulers produced by this company is Normal with mean μ and σ = 0.02 mm. Suppose I select a simple random sample of four of the rulers produced by the company and I measure their lengths in mm. The sample yields a mean of 1000.

A 90% confidence interval for μ is
 1000.00 ± 0.0235.1000.00 ± 0.0115.1000.00 ± 0.0196. 1000.00 ± 0.0082.
 
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