A test was made of $H _ { 0 } : \mu _ { 1 } = \mu _ { 2 }$ versus $H _ { 1 } : \mu _ { 1 }

Question

A test was made of $H _ { 0 } : \mu _ { 1 } = \mu _ { 2 }$ versus $H _ { 1 } : \mu _ { 1 } < \mu _ { 2 }$. The sample means were $\bar { x } _ { 1 } = 14$ and $\bar { x } _ { 2 } = 15$, the sample standard deviations were $s _ { 1 } = 7$ and $s _ { 2 } = 6$, and the sample sizes were $n _ { 1 } = 20$ and $n _ { 2 } = 16$. How many degrees of freedom are there for the test statistic, using the simple method?
A) 15
B) 16
C) 13
D) 17

Quizplus · Accepted Answer

The simple method for finding the degrees of freedom for a two-sample t-test is to use the formula:df = n1 + n2 - 2where n1 and n2 are the sample sizes.In this case, n1 = 20 and n2 = 16, so:df = 20 + 16 - 2 = 34Therefore, the correct answer is A) 15.

A Test Was Made Of H0:μ1=μ2H _ { 0 } : \mu _ { 1 } = \mu _ { 2 }H0​:μ1​=μ2​

A Test Was Made Of $H _ { 0 } : \mu _ { 1 } = \mu _ { 2 }$