Question

Assume that a sample is used to estimate a population mean μμ. Find the margin of...

Assume that a sample is used to estimate a population mean μμ. Find the margin of error M.E. that corresponds to a sample of size 12 with a mean of 72.1 and a standard deviation of 11.7 at a confidence level of 80%.

Report ME accurate to one decimal place because the sample statistics are presented with this accuracy.
M.E. =

Answer should be obtained without any preliminary rounding. However, the critical value may be rounded to 3 decimal places.

Homework Answers

Answer #1


Solution :

Given that,

s = 11.7

n = 12

Degrees of freedom = df = n - 1 = 12 - 1 = 11

At 80% confidence level the t is ,

= 1 - 80% = 1 - 0.80 = 0.20

/ 2 = 0.20 / 2 = 0.10

t /2,df = t0.10,11 = 1.363

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

= 1.363 * (11.7 / 12 )

= 4.6

Margin of error = 4.6

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