Answer to Question #151690 in Statistics and Probability for hasinasah

Question

Research objective: The population mean is not
equal to 1,500.
σ = 220, n = 125, x = 1525

Answer 1

$Z_{value}= \frac {\mu_X-1500} {\sigma_X}= \frac {1525 - 1500} {220/ \sqrt{125}}= 1.27\\ Z_{0.025} = -1.96\\ Z_{0.975} = 1.96\\ Z_{value} \in (-1.96,1.96)$

Hence, we cannot reject the null hypothesis that the population mean is equal to 1,500 at significant level of 0.05.