Question

In a random sample of 28 people, the mean commute time to work was 33.5 minutes and the standard deviation was 7.3 minutes. Assume the population is normally distributed and use a​ t-distribution to construct a 90​% confidence interval for the population mean muμ.

What is the margin of error ofmuμ​?

Answer 1

33.5   1.70 ( 7.3 / )

33.5   2.35

( 31.2 , 35.9 )

At 90 % CI for Population mean is ( 31.2 , 35.9 )

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Margin of Error for Mean is,

Margin of Error = t / 2 * ( s /

Margin of Error = 1.70 ( 7.3 / )

Margin of Error = 2.35