Question

2= Determine the critical value for a right-tailed test regarding a population at the al = 0.05 Hovei of significance. round to two decimal plaus) Determine the critical values for a two-tailed test of a population mean at the d= 0.05 level of significance based on a sample size of N= 19. a) ± 1.74 c)+ 7.101 b) J1 d) ± 1.734 Find the standardized test Statistiet for a sample with N=12, X= 34.2, S = 2.2, and a= 0.01 if Ho:M=23. round answer 3 decimal places. a) 1.890 C) 1.991 b) 7.001 d) 2.132

Answer 1

1. $\alpha$ =0.05

Then Z critical value for right tailed test is

= $Z_{\alpha$ = $Z_{0.05}$ = 1.6449 ( from z table )

Z = 1.64

2. Here, $\alpha$ = 0.05 , N= 18

Then df for t distribution = N-1 = 17

Critical Value for 2 Tailed test is

= $\pm t_{\alpha/2,df}$ = $\pm t_{0.025,17}$ = $\pm 2.11$ (from t table )

b) $\pm 2.11$ .

3. Test Statistic $T = \frac{\sqrt{n}(X_{bar}-\mu)}{s}$

  $T = \frac{\sqrt{12}(24.2-23)}{2.2}$

=1.890

Correct option : a) 1.890