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The compressive strength of a random sample of 45 bricks of a given type was ass

ID: 3051678 • Letter: T

Question

The compressive strength of a random sample of 45 bricks of a given type was assessed, resulting in mean and standard deviation 3107 psi and 188 psi, respectively. The sample data was moderately skewed. Can we compute a 95% t confidence interval for the true mean compressive strength of this type of brick? A: yes, a t confidence interval is always appropriate B: yes, because the sample is large enough to overcome the skew C: no, because the data are skewed D: no, because we don't know the population mean

Explanation / Answer

Given:-

Sample size ( n) = 45 , mean = 3107 psi

Standard deviation = 188 psi

Answer :- option "B" is correct.

We can't compute a 95% t confidence interval for the true mean compressive strength of this type of brick, because the sample is large enough to overcome the skew.