# The Level of Confidence and the Mean Weight of Luggage

A trans-oceanic airline conducted a study to determine whether the average weight of baggage checked by a passenger differs significantly from 45 pounds. A random sample of 25 passenger baggages recorded a mean weight of 43.5 pounds with a standard deviation 6 pounds. Can the airline conclude that the mean weight of checked baggage is significantly different from 45 pounds at a 95% level of confidence?

© BrainMass Inc. brainmass.com June 3, 2020, 9:27 pm ad1c9bdddfhttps://brainmass.com/statistics/hypothesis-testing/compute-level-of-confidence-182505

#### Solution Preview

Since the sample size n=25 is not very big (not >=30), we should use t-test.

Null hypothesis H0: mu=45

Alternative hypothesis Ha: mu is not equal to 45.

Given xbar=43.5, s=6 and n=25. So, ...

#### Solution Summary

This solution calculates the mean weight of luggage in an airline.

$2.19