Tests samples from two normally distributed populations with the same standard deviation to determine if the hypothesis that the population means are equal should be accepted or rejected.

Syntax

reject, p_value, conf = TTest2(data1, data2, alpha)

Arguments

Name

Description

data1

A vector containing sample data.

data2

A vector containing sample data.

alpha

(optional)

The level of significance for the test, also known as the probability of a Type I error.  It must be in the interval (0, 0.5).  The default value is 0.05.

Outputs

Name

Description

reject

A Boolean value that is true if the hypothesis is to be rejected.

p_value

The largest value of alpha for which the hypothesis is to be accepted.

conf

A 100(1-alpha)% confidence interval for the difference between the population means (subtracting the first from the second).  A two element vector containing the lower and upper bounds of the interval, respectively.

Example

Test the hypothesis that the samples [2, 3, 5, 7, 4] and [4, 8, 6, 3] come from populations with equal means, given that they have equal standard deviations.

Syntax

reject, p_value, conf = TTest2([2, 3, 5, 7, 4], [4, 8, 6, 3])

Result

reject = false

p_value = 0.47105

conf = [-4.3091    2.2091]