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In Star Wars Episode 4: A New Hope, Princess Leia says Luke is \"a little short...

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Statistics

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.

LukesStorm Troopers
x L ¯ = 57x S ¯ = 60
n L = 10n S = 15
s L = 3s 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

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