T Tests One Sample

Question 1

T test Formula

Answer 1

(Sample mean - population mean)
÷
(estimated standard error of mean)

Question 2

Estimated Standard Error of Mean

Answer 2

Sample Standard Deviation
÷
Square root of sample size

Question 3

Difference between SEM and estimated SEM?

Answer 3

SEM - population SD

Estimated SEM - sample SD

Question 4

What is the difference between t test and z test?

Answer 4

Z test - using sampling error of mean
(pop standard deviation)

T Test- using estimated standard error of mean
(sample standard deviation)

Question 5

As sample size increases, what happens to the t distribution?

Answer 5

The T distribution becomes closer to a normal distribution
- and closer to z distribution
(graphs look similar)

Question 6

Degrees of freedom for 1 sample t test

Answer 6

n-1

Question 7

What conclusion can we make about degrees of freedom for t statistic?

Answer 7

There are different t distributions for different degrees of freedom

Question 8

What does the tcrit value depend on?

Answer 8

the degrees of freedom
- make sure you use the correct tcrit value