Question

If n=20, ¯ x (x-bar)=44, and s=15, construct a confidence interval at a 98% confidence level....

If n=20, ¯ x (x-bar)=44, and s=15, construct a confidence interval at a 98% confidence level. Assume the data came from a normally distributed population.

Give your answers to one decimal place. < μ <

Math   Statistics-And-Probability   
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Answer #1

Solution :

t /2,df = 2.539

Margin of error = E = t/2,df * (s /n)

= 2.539 * (15 / 20)

Margin of error = E = 8.5

The 98% confidence interval estimate of the population mean is,

- E < < + E

44 - 8.5 < < 44 + 8.5

35.5 < < 52.5

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