Answered: You are interested in finding a 98%…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Question

You are interested in finding a 98% confidence interval for the average commute that non-residential students have to their college. The data below show the number of commute miles for 12 randomly selected non-residential college students. Round answers to 3 decimal places where possible.

a. To compute the confidence interval use a ___ distribution.

b. With 98% confidence the population mean commute for non-residential college students is between ____ and ____ miles.

c. If many groups of 12 randomly selected non-residential college students are surveyed, then a different confidence interval would be produced from each group. About ___ percent of these confidence intervals will contain the true population mean number of commute miles and about _____ percent will not contain the true population mean number of commute miles.

Expert Solution

Step 1

$G i v e n s a m p l e s i z e (n) = 12 s a m p l e m e a n (\bar{x}) = 17.3333 s \tan d a r d d e v i a t i o n (s) = 6.6241 d e g r e e s o f f r e e d o m (d f) = n - 1 d f = 12 - 1 = 11 α = 1 - 0.98 = 0.02 \frac{α}{2} = 0.01 t_{0.01} (11) = 2.718 (f r o m t - t a b l e)$