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
)**

**--------------------------------------------------------------------------**

**Margin of Error for Mean is,**

Margin of Error = t / 2 * ( s /

Margin of Error = 1.70 ( 7.3 / )

**Margin of Error = 2.35**

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