Question

1. Suppose a 99 % CI was provided: (15.2, 16.4), does this mean that 99 % of students take between 15.2 and 16.4 credits per semester? What was the sample mean used? What was the maximum error of the CI?

Answer 1

Solution :-

Given :-

Lower Confidence interval = 15.2

Upper Confidence interval = 16.4

Yes , 99 % of students take between 15.2 and 16.4 credits per semester.

because,Interval from 15.2 to 16.4 Actually does contain the true value of mean.

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Sample Mean = ( Lower Confidence interval +  Upper Confidence interval ) / 2

Sample Mean = ( 15.2 + 16.4 ) / 2

Sample Mean = 15.8

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Maximum Error = Upper Confidence interval - Mean

Maximum Error = 16.4 - 15.8

Maximum Error = 0.6