Question

Karl is a software developer who is interested in determining whether two random number generators have the same population mean.Random number generator A has a population standard deviation of 1.00 and random number generator B has a population standard deviation of 1.25. Karl took a sample of 10 trials from each generator.The results are summarized below. Random number generator A -1.544, -1.327, 0.668, -0.977, 1.717, 0.678, -0.230, -0.040, -0.125, 1.167 Random number generator B -0.399, 1.288, -0.294, 1.639, 2.174, 0.683, 0.123, -1.096, 1.931, 0.869 Find the P-value for the test of the difference between the population means for these two generators.

Answer 1

From the given data, the following statistics are calculated:

n1 = 10

1 = - 0.013/10

   = - 0.0013

n2 = 10

2 = 6.918/10

    = 0.6918

Given:

1 = 1.00

2 = 1.25

Test Statistic is given by:

Table of Area Under Standard Normal Curve gives area = 0.4147

So,

P - Value = (0.5 - 0.4147) X 2

          = 0.1706

So,

Answer is:

0.1706