In Star Wars Episode 4: A New Hope, Princess Leia says Luke is\"a little short to be a storm trooper.\" To test this we went to NewOrleans Comic-Con and took the heights, in inches, of Lukecosplayers and Storm Trooper cosplayers, the data is in the tablebelow.
| Lukes | Storm Troopers |
| x L ¯ = 57 | x S ¯ = 60 |
| n L = 10 | n S = 15 |
| s L = 3 | s S = 2 |
Use this data, the assumption that the population variances areequal, give a 95% confidence interval for μ S − μ L. Can youconclude that Luke was too short to be a storm trooper?
Group of answer choices
a)None of these
b)3±1.96910+415, The interval does not include 0 so Luke was tooshort
c)3±1.965.96(910+415), The interval includes 0 so Luke may nothave been too short
d)3±2.0695.96(110+115), The interval does not include 0 so Lukewas too short
e)3±2.0605.96(110+115), The interval does not include 0 so Lukewas too short
