Answer :
Answer:
the value of the test statistic is 2.43
Step-by-step explanation:
The computation of the value of the test statistic is shown below:
[tex]z = \frac{\bar x _1 - \bar x _2}{\sqrt{\frac{\sigma_1^2 + \sigma_2^2}{n_1 + n_2} } }[/tex]
[tex]= \frac{25.7 - 22.8}{\sqrt{\frac{5.3^2}{40}+ \frac{6^2}{50} } }\\\\= \frac{25.7 - 22.8}{\sqrt{0.70225 + 0.72} }\\\\= \frac{2.9}{1.19258}[/tex]
= 2.43
Hence, the value of the test statistic is 2.43
The same would be considered and relevant by applying the above formula