Question

calculate:

PART A: You are performing a two-tailed test.

If α=.10α=.10, find the positive critical value, to three decimal places.

z_α/2 =

PART B: Your claim results in the following alternative hypothesis:
H_a : μ ≠≠ 162
which you test at a significance level of α=.10α=.10.

Find the positive critical value, to three decimal places.

z_α/2 =

PART C: Your claim results in the following alternative hypothesis:
H_a : μ << 127
which you test at a significance level of α=.10α=.10.

Find the critical value, to three decimal places.

z_α =

Answer 1

Solution :

Part A)

= 1 - 90% = 1 - 0.90 = 0.10

/ 2 = 0.10 / 2 = 0.05

Z_/2 = Z _0.05 = 1.645

Critical value = +/-1.645

Part B)

This is the two tailed test .

= 1 - 90% = 1 - 0.90 = 0.10

/ 2 = 0.10 / 2 = 0.05

Z_/2 = Z _0.05 = 1.645

Critical value = +/-1.645

Part C)

This is the left tailed test .

= 1 - 90% = 1 - 0.90 = 0.10

Z_0.10 = -1.282

Critical value = -1.282