Question

A sample is selected from a population with M=80.

If the sample has a mean of 85,which of the following will produce the largest value for t-obtained ?

A)n=16 and s^2=16

B)n=36 and s^2=36

C)n=16 and s^2=36

D)n=36 and s^2 =16

Answer 1

A)

The test statistics:

B)

The test statistics:

$t=\frac{M-\mu}{s/\sqrt{n}}=\frac{85-80}{\sqrt{36}/\sqrt{36}}=5$

C)

The test statistics:

$t=\frac{M-\mu}{s/\sqrt{n}}=\frac{85-80}{\sqrt{36}/\sqrt{16}}=3.333$

D)

The test statistics:

$t=\frac{M-\mu}{s/\sqrt{n}}=\frac{85-80}{\sqrt{16}/\sqrt{36}}=7.500$

Correct option is D.