Because the sample size is 64, do you need to be concerned about the shape of th

Question

Because the sample size is 64, do you need to be concerned about the shape of the population distribution when conducting the t test in (a)? Explain. Choose the correct answer below.

A. Yes, because n is equal to 64, the sampling distribution of the t test cannot be determined. In general, the t test requires a larger sample size.

B. No, because n is equal to 64, the sampling distribution of the t test is approximately normal. In general, the t test is appropriate for this sample size unless the population is skewed.

C. No, because n is equal to 64, the sampling distribution of the t test is approximately normal. In general, the t test is appropriate for a large sample size.

D. Yes, because n is equal to 64, the sampling distribution of the t test cannot be determined. In general, the t test is only appropriate for a normally distributed sample.

Explanation / Answer

Correct option:

B. No, because n is equal to 64, the sampling distribution of the t test is approximately normal. In general, the t test is appropriate for this sample size unless the population is skewed.

EXPLANATION:
When the smple size = n = 64 > 30, Large sample, t distribution in fact approaches Normal Distribution and it becomes symmetrical for n > 30.

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