Question

Fifty specimens of a new chip were tested for speed in a certain application, along with 50 specimens of chips with the old design. The average speed, in MHz, for the new chips was 476.6, and the standard deviation was 18.4. The average speed for the old chips was 461.6 and the standard deviation was 13.3. Test the hypothesis that the mean speed for the new chips is greater than that of the old chips.

a. State the null and alternative hypothesis.

b. Compute the test statistics.

c. Compute the P-value.

d.State a conclusion

Answer #1

a)

b)

c)

df = n1+n2-2 = 98

p value = P(t>4.672) = 0 at df = 98

d)

assume alpha = 0.05

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