Question

Using traditional methods, it takes 101 hours to receive a basic driving license. A new license training method using Computer Aided Instruction (CAI) has been proposed. A researcher used the technique with 100 students and observed that they had a mean of 102 hours. Assume the variance is known to be 16. A level of significance of 0.05 will be used to determine if the technique performs differently than the traditional method. Find the value of the test statistic. Round your answer to 2 decimal places. Enter the value of the test statistic

Answer 1

Solution:

Given ,

= 101

claim :    101

n = 100

= 102

² = 16

= 4

Use = 0.05

Hypothesis are

H0 : = 101 (null hypo.)

H1 :     101

b)The test statistic z is given by

z =

= (102 - 101) / (4/100)

= 2.50

The value of the test statistic is z = 2.50