Question

In: Statistics and Probability

Salaries of 4949 college graduates who took a statistics course in college have a​ mean, x̄,...

Salaries of 4949 college graduates who took a statistics course in college have a​ mean,

x̄, of $62,800. Assuming a standard​ deviation, σ​, 11,139 construct a 99​% confidence interval for estimating the population mean μ

Solutions

Expert Solution

Solution :

Given that,

Sample size = n = 4949

Z/2 = Z0.005 = 2.576

Margin of error = E = Z/2* ( /n)   = 2.576* (11139 / 4949)

Margin of error = E = 407.9

At 99% confidence interval estimate of the population mean is,

- E < < + E

62800 - 407.9 < < 62800 - 407.9

62392.1 < < 63207.9

(62392.1,63207.9)


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