Question

1. In a test of H_0: mu = 100 against H_a: mu < > 100, the sample data yielded the test statistic z = -2.17. Find the p-value for the test. Here "<>" stands for "not equal".

(a) 0.03 (b) 0.485 (c) 0.015

2. In a test of H_0: mu = 100 against H_a: mu < 100, the sample data yielded the test statistic z = -2.17. Find the p-value for the test.

(a) 0.03 (b)0.485 (c)0.015

3. Specify the rejection region associated with the test of H_0: mu = 10, H_a: mu < 10 when alpha = 0.05, and n = 17 and sample is drawn from normal distribution.

i. Z < -1645

ii. t< -2.12

iii. t< -1.746

iv. Z< -1.96

Answer 1

From the given information,

By using calculator,

The required correct answers are,

Que. 1

a. 0.03

Que. 2

c. 0.015

Que. 3

iii. t< -1.746

Thank you.