Multiple choice : How does a t-distribution (n < 30) compare to a normal distrib

Question

Multiple choice :

How does a t-distribution (n < 30) compare to a normal distribution?

a. They are almost exactly the same

b. The t-distribution would be flatter and more spread out than a normal distribution

c. The t-distribution would be taller and more narrow than a normal distribution

d. The t-distribution would be positively skewed compared to a normal distribution

which of the following would result in the SMALLEST standard error?

a. n = 4 and = 16

b. n = 16 and = 3

c. n = 6 and = 24

d. n = 25 and = 20

Explanation / Answer

1)option B :b. The t-distribution would be flatter and more spread out than a normal distribution

2) option B:b. n = 16 and = 3 (as std error =/(n)1/2)

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