Given the following information: the sample size n = 20, the sample mean= 75.3, and the...

Given the following information: the sample size n = 20, the sample mean= 75.3, and the population standard deviation= 6.0. Please show your work. Find the 0.99 confidence interval for

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Expert Solution

Solution :

Given that,

= 75.3

= 6.0

n = 20

At 99% confidence level the z is ,

= 1 - 99% = 1 - 0.99 = 0.01

/ 2 = 0.01 / 2 = 0.005

Z_/2 = Z_0.005 = 2.576

Margin of error = E = Z_/2* ( / $\sqrt$ n)

= 2.576 * (6 / $\sqrt$ 20)

= 3.5

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

- E < < + E

75.3 - 3.5 < < 75.3 + 3.5

71.8 < < 78.8

(71.8 , 78.8 )

orchestra answered 1 year ago

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