Complete Question
The complete question is shown on the first uploaded image
Answer:
The value is [tex]t = 2.51 [/tex]
Step-by-step explanation:
From the question we are told that
From the question we are told that
The first sample mean is [tex]\= x_1 = 71.1[/tex]
The first standard deviation is [tex]\sigma _1 = 19.4[/tex]
The second sample mean is [tex]\= x_2 = 63.4[/tex]
The second sample deviation is [tex]\sigma_2 = 10.5[/tex]
The first sample size is [tex]n_1 = 55[/tex]
The second sample size is [tex]n_2 = 46[/tex]
Generally the test statistics is mathematically represented as
[tex]t = \frac{\= x_1 - \= x_2 }{ \sqrt{\frac{s_1^2 }{n_1} +\frac{s_2^2 }{n_2} } }[/tex]
=> [tex]t = \frac{71.1 - 63.4 }{ \sqrt{\frac{19.4^2 }{55} +\frac{10.5^2 }{46} } }[/tex]
=> [tex]t = 2.51 [/tex]
