If, in a sample of n = 28 selected from a from a left-skewed population, X(bar)
ID: 3065869 • Letter: I
Question
If, in a sample of n = 28 selected from a from a left-skewed population, X(bar) = 66 and S = 24 what would you use the t test to test the null hypothesis H0: =59?
Answer
a.Yes, you would use the t test because the sample size is less than 30 and this population size allows for the Central Limit Theorem to take effect.
B.No, you would notuse the t test because the sample size is less than 30andthepopulationthe population
is left dash skewed.is left-skewed.
C. Yes you woulduse the t test because the sample size is at leastat least 30 and this population size allows for the Central Limit Theorem to take effect.
D. No, you would not use the t test because the sample size is at least 30 and the population is
leftleft-skewed.
Explanation / Answer
Sol:
n<30
use t test
beacuse of central limit theorem the distribution converges to a normal distribution,irrespective of the distribution of X(here left skewed) in the popualtion.
.Yes, you would use the t test because the sample size is less than 30 and this population size allows for the Central Limit Theorem to take effect.
OPTIONA
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