In: Statistics and Probability
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 New Orleans Comic-Con and took the heights, in inches, of Luke cosplayers and Storm Trooper cosplayers, the data is in the table below.
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 are equal, give a 95% confidence interval for μ S − μ L. Can you conclude 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 too short
c)3±1.965.96(910+415), The interval includes 0 so Luke may not have been too short
d)3±2.0695.96(110+115), The interval does not include 0 so Luke was too short
e)3±2.0605.96(110+115), The interval does not include 0 so Luke was too short
Correct answer: Opiton (D) 3 ± 2.069*5.96(110+115), The interval does not include 0 so Luke was too short
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