Question

For a sample size of 100, and 10, we want to test the hypothesis His pr 100. The sample mean is 103. The test statistic is

a. 1.645
c. 1.960
b. 3.000
d. 0.300

Answer 1

The correct answer is: c) 3.000

Given the information:

Sample size (n): 100

Population standard deviation (σ): 10

Null hypothesis (H_0)

mean (λ): 100

Sample mean (X ): 103

The formula for the z-test statistic is:

Z= X −λ/ σ/ √n

​​Plug in the values:

Z= 103−100/10/√100

​​Simplify:

Z= 3/1 =3

Therefore, the correct answer is:c) 3.000

Question

For a sample size of n = 100, and \sigma = 10, we want to test the hypothesis H{0}: \lambda =100 . The sample mean is 103. The test statistic is:

a) 1.645

b) 1.960

c) 3.000

d) 0.300