Unit 4 - Test Statistics

Calculate the t-test given the following: Sample 1: Mean = 4, Variance = 1.3, and Sample size = 5 Sample 2: Mean = 4.3, Variance = 0.9, and Sample size = 5

-.29

Calculate the z-test for Sample mean = 100, Population mean = 101.5, a standard deviation of 5.8, and a sample size of 150.

-3.17

Calculate the z-test for Sample = 100, Sample mean = 3.4, Population mean = 3.67, and a standard deviation of 0.7.

-3.86

Calculate the t-test given the following: Sample 1: Mean = 45, Variance = 3.4, and Sample size = 10 Sample 2: Mean = 43, Variance = 3.7, and Sample size = 10

1.06

Calculate the z-test for Sample mean = 10.5, Population mean = 10.1, a standard deviation of 1.5, and a sample size of 32.

1.51

Given two samples in a hypothesis test, the t-test is used. If the sample size of both samples is 12, what is the degree of freedom used in the denominator of the t-test statistic?

11 + 11 = 22

In a t-test for a sample size of 25, what is the degree of freedom for the sample?

24

To use a z-test, the sample size must be __________.

=/> 30

For a sample mean of 250, a population mean of 200, and a standard deviation of 4.5, what is the z-test statistic?

positive

The degree of freedom is n - 1, where n represents the

sample size

For a usually small sample size of 15, what test statistics should be used?

t-test

Given the following information, what test statistic should be used in the hypothesis testing? Sample 1: Mean = 20 Sample 2: Mean = 20.5

t-test

When attempting to state the statistical significance between two means, the _________ should be used.

t-test

The simpler of the two test statistics that are used in hypothesis testing is the __________.

z-test