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Use the confidence level and sample data to find a confidence interval for estimating the population...

Use the confidence level and sample data to find a confidence interval for estimating the population . Round your answer to the same number of decimal places as the sample mean. Test scores: n= 105 x bar =70.5, sigma =6.8; 99% confidence

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Expert Solution

Solution :

Given that,

= 70.5

= 6.8

n = 105

At 99% confidence level the z is ,

  = 1 - 99% = 1 - 0.99 = 0.01

/ 2 = 0.01 / 2 = 0.005

Z/2 = Z0.005 = 2.576

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

= 2.576 * (6.8 / 105 )

= 1.7

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

- E < < + E

70.5 - 1.7 < < 70.5 + 1.7

68.8 < < 72.2

(68.8, 72.2)

orchestra answered 1 year ago
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