Respuesta :
Answer:
The test statistic | t | =4.45
Step-by-step explanation:
Step(i):-
Given that the first sample size n₁ = 36
Given that the second sample size n₂ = 34
Mean of the first sample x₁⁻ = 68.5
Mean of the second sample x₂⁻ = 70
Step(ii):-
Test statistic
[tex]t = \frac{x^{-} _{1}-x^{-} _{2} }{\sqrt{S^{2} (\frac{1}{n_{1} }+\frac{1}{n_{2} } } )}[/tex]
[tex]t = \frac{68.5-70}{\sqrt{2(\frac{1}{36}+\frac{1}{34} ) } }[/tex]
[tex]t = \frac{-1.5}{0.337} = -4.45[/tex]
The test statistic | t | = |-4.45| =4.45
The test statistic is given by t and t is calculated with the help of the test statistic formula. The value of t is 4.45.
What is test statistics?
The test statistic summarises the observation data into a unique number using central tendency, the variation, sample, and size in your statistical model.
The given information will be shown below.
The first sample size n₁ = 36
The second sample size n₂ = 34
The mean of the first sample x₁ = 68.5
The mean of second sample x₂ = 70
Then the test statistic will be given as
[tex]\rm t = \dfrac{x_1 - x_2}{\sqrt{S^2 (\dfrac{1}{n_1}+\dfrac{1}{n_1})}} \\\\\\\t = \dfrac{68.5 - 70}{\sqrt{2 (\dfrac{1}{36} + \dfrac{1}{34})}} \\\\\\t = \dfrac{-1.5}{0.337}\\\\\\t = -4.45[/tex]
The test statistic | t | = |–4.45| = 4.45
More about the test statistic link is given below.
https://brainly.com/question/15236063
