Question

Examine the given statement, then express the null hypothesis Ho and the alternative hypothesis Hy in symbolic form. High school teachers have incomes with a standard deviation that is more than $18,000. Which of the following is the hypothesis test to be conducted? O A. Ho: 0# $18,000 H: 0 = $18,000 0 C. Hg: 0$18,000 Hy: 0 = $18,000 O E. Ho: o > $18,000 Hy: 0 = $18,000 OB. Ho: 6 = $18,000 H: 0< $18,000 OD. Ho: 0 = $18,000 Hy: o> $18,000 OF. Ho: 0 = $18,000 H: 0# $18,000

Answer 1

1. The hypothesis test to be conducted is -

ans-> D) $H_0:\sigma = 18000, H_1:\sigma > 18000$

2. For a two tailed test,

At $\alpha = 0.05$ , critical values are $z = \pm z_{\frac{0.05}{2}} = \pm z_{0.025} = \pm 1.96 = -1.96, 1.96$