Q21. The tail area above a test statistic value of z = 1.812 is 0.035. Determine which of the
following statements is NOT TRUE.
A) If the alternative hypothesis is of the form $H_a: \mu > \mu_0$, the data are statistically
significant at significance level $\alpha = 0.05$.
B) If the alternative hypothesis is of the form $H_a: \mu > \mu_0$, the data are statistically
significant at significance level $\alpha = 0.10$.
C) If the alternative hypothesis is of the form $H_a: \mu \neq \mu_0$, the data are statistically
significant at significance level $\alpha = 0.05$.
D) If the alternative hypothesis is of the form $H_a: \mu \neq \mu_0$, the data are statistically
significant at significance level $\alpha = 0.10$.
Q22. A simple random sample of five female basketball players is selected. Their heights (in
cm) are 170, 175, 169, 183, and 177. What is the standard error of the mean of these height
measurements?
A) 2.538
B) 2.837
C) 5.075
D) 5.675