Question

In a random sample of eight people the mean commute time to work was 35.5 minutes, and the SD was 7.2, find the t distribution to find the mean margin or error, given 95% confidence intervals for the population mean.

Answer #1

Solution :

Given that,

s =7.2

n =8 Degrees of freedom = df = n - 1 =8 - 1 = 7

a ) At 95% confidence level the t is ,

= 1 - 95% = 1 - 0.95 = 0.05

/ 2= 0.05 / 2 = 0.025

t
/2,df = t0.025,7 = **2.365** ( using student t
table)

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

= **2.365** * (7.2 /
8)

E= 6.0203

Margin of error = E =6.0203

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