Question

5. When both sample sizes are 15, both population standard deviation are 10, and the sample averages are 32 and 35 respectively the experimental Z is 0.822.

True

False

Answer 1

Formula for experimental Z is :

$|Z| = \left | \frac{\bar{X_1}-\bar{X_2}}{\sqrt{\frac{\sigma_1}{n_1}+\frac{\sigma_2}{n_2}}} \right |$

Putting all the values in the formula we get :

$|Z| = \left | \frac{32-35}{\sqrt{\frac{10}{15}+\frac{10}{15}}} \right | = 0.822$

Hence, the above statement is TRUE.