A random sample of 130130 observations produced a mean of ?=30.2x¯=30.2 from a population with a normal distribution and a standard deviation ?=4.49σ=4.49. (a) Find a 99% confidence interval for ?μ (b) Find a 95% confidence interval for  ?μ  (c) Find 90% confidence interval for  ?μ

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A random sample of 130130 observations produced a mean of ?=30.2x¯=30.2 from a population with a normal distribution and a standard deviation ?=4.49σ=4.49.

(a) Find a 99% confidence interval for ?μ

(b) Find a 95% confidence interval for  ?μ 

(c) Find 90% confidence interval for  ?μ 

Expert Solution
Step 1: Given Information:

It is given that 

x̄ = 30.2

σ = 4.49

n = 130

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