Question

A microprocessor designer has developed a new fabrication process possibly increasing the life of a chip. The current life is 16,400 hours with a standard deviation of 2,500 hours. Test the hypothesis that the new process increases the life to 16,500 at α = .10. A sample of 2,000 microprocessors will be tested. Provide the critical value, the test statistic and the number of tails this hypothesis test has

Answer 1

Solution :

= 16500

=16400

=2500

n = 2000

This is the right tailed test .

The null and alternative hypothesis is ,

H₀ :    = 16500

H_a : > 16500

Test statistic = z

= ( - ) / / n

= (16400 -16500 ) / 2500 / 2000

= -1.79

Test statistic = z = -1.79

The critical value = 1.282

P(z > -1.79 1 - P(z < -1.79 ) = 1 -0.0367

P-value = 0.9633

= 0.10

P-value >

0.9633 >  0.1

Fail to reject the null hypothesis .

There is not sufficient evidence to suggest that