Question

In: Statistics and Probability

a)Sketch the distribution curve showing the area in the tails and the critical values. b)Show any...

a)Sketch the distribution curve showing the area in the tails and the critical values.

b)Show any expressions that determine the confidence interval (such as margin of error) with the numbers in place and calculate the necessary value(s).

c)Write the confidence interval in the usual way (for example 4.34<p<5.68)

2)The local transit authority analyzed the lateness of its buses. After randomly sampling 29 bus arrival times it was found that the amount of time the buses were late had a standard deviation of 8.3 minutes. Obtain the confidence interval for the population standard deviation using a 99% confidence level.

Solutions

Expert Solution

The distribution curve showing the area in the tails and the critical values is as follows:

Confidence Interval Calculation

Therefore, based on the data provided, the 99\%99% confidence interval for the population standard deviation is 6.15<σ<12.44.

orchestra answered 2 years ago
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