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Given that x̄ = 32, n = 49, and σ σ = 3, then we can...

Given that x̄ = 32, n = 49, and σ σ = 3, then we can be 95% confident that the true mean, μ μ , lies between the values

and

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Answer #1

Solution :

Given that,

Sample size = n = 49

Z/2 = 1.96

Margin of error = E = Z/2* ( /n)

= 1.96 * (3 / 49)

= 0.84

At 95% confidence interval estimate of the population mean is,

- E < < + E

32 - 0.84 < < 32 + 0.84

31.16 < < 32.84

Between the values 31.16 and 32.84

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