Question

The following results are for two independent samples taken from the two populations. Sample 1 Sample 2 n1 = 40 n2 = 50 x1 = 25.7 x2 = 22.8 σ1 = 5.3 σ2 = 6 (a) What is the value of the test statistic? (Round your answer to two decimal places.)

Answer 1

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:

$z = \frac{\bar x _1 - \bar x _2}{\sqrt{\frac{\sigma_1^2 + \sigma_2^2}{n_1 + n_2} } }$

$= \frac{25.7 - 22.8}{\sqrt{\frac{5.3^2}{40}+ \frac{6^2}{50} } }\\\\= \frac{25.7 - 22.8}{\sqrt{0.70225 + 0.72} }\\\\= \frac{2.9}{1.19258}$

= 2.43

Hence, the value of the test statistic is 2.43

The same would be considered and relevant by applying the above formula