# Sample Size, Sample Error, and Sum of Squares

On average, what value is expected for the t statistic when the null hypothesis is true?

*1

*1.96

*0 (?)

*t>1.96

What is the sample variance and the estimated standard error for a sample of n=9 scores with SS= 72?

*s2=3 and sM=3

*s2 and sM= 1

*s2=9 and sM=3 (?)

*s2=3 and sM=1

Which set of characteristics will produce the smallest value for the estimated standard error?

*A large sample size and a small sample variance

*A large sample size and a large sample variance

*A sample sample size and a large sample variance

*A small sample size and a small sample variance (?)

A researcher conducts a hypothesis test using a sample from an unknown population. If the t statistic has df=30, how many individuals were in the sample?

*n=30

*cannot be determined from the information given

*n=29 (?)

*n=31

When n is small (less than 30) how does the shape of the t distribution compare to the normal distribution?

* It is taller and narrower than the normal distribution

* It is almost perfectly normal

*There is no consistent relationship between the t distribution and the normal distribution.

*It is flatter and more spread out than the normal distribution . (?)

With o= .01, the two tailed critical region for a t test using a sample of n=16 subjects would have boundaries of :

*t= ±2.602

*t= ± 2.921

*t=± 2.947

*t= ± 2.583

#### Solution Preview

On average, what value is expected for the t statistic when the null hypothesis is true?

choose 0

What is the sample variance and the estimated standard error for a sample of n=9 scores with SS= 72?

choose s2=9 and sM=3 ...

#### Solution Summary

The solution gives detailed steps on discussing the relationship between sample size, sample error, and sum of squares.