A semiconductor manufacturer produces controllers used in automobile engine applications. The customer requires that the process fallout or fraction defective at a critical manufacturing step be less than 0.05 and that the manufacturer demonstrate process capability at this level of quality using alpha 0.05. The semiconductor manufacturer takes a random sample of 200 devices and finds that four of them are defective. Can the manufacturer demonstrate process capability for the customer? a. What is the appropriate alternative hypothesis for this test? H;: b. The critical value is - (Write your answer precise to 2 decimal places, e.g. 2.45, 3.01, 4.00) c. The z test statistic is (Write your answer precise to 2 decimal places, e.g. 2.45, 3.01, 4.00)
A semiconductor manufacturer produces controllers used in automobile engine applications. The customer requires that the process fallout or fraction defective at a critical manufacturing step be less than 0.05 and that the manufacturer demonstrate process capability at this level of quality using alpha 0.05. The semiconductor manufacturer takes a random sample of 200 devices and finds that four of them are defective. Can the manufacturer demonstrate process capability for the customer? a. What is the appropriate alternative hypothesis for this test? H;: b. The critical value is - (Write your answer precise to 2 decimal places, e.g. 2.45, 3.01, 4.00) c. The z test statistic is (Write your answer precise to 2 decimal places, e.g. 2.45, 3.01, 4.00)
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.4: Discrete Random Variables; Applications To Decision Making
Problem 9E
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Transcribed Image Text:A semiconductor manufacturer produces controllers used in automobile engine applications. The customer
requires that the process fallout or fraction defective at a critical manufacturing step be less than 0.05 and
that the manufacturer demonstrate process capability at this level of quality using alpha 0.05. The
semiconductor manufacturer takes a random sample of 200 devices and finds that four of them are
defective. Can the manufacturer demonstrate process capability for the customer?
a. What is the appropriate alternative hypothesis for this test? H1:
b. The critical value is
-(Write your answer precise to 2 decimal places, e.g. 2.45, 3.01,
4.00)
c. The z test statistic is
. (Write your answer precise to 2 decimal places, e.g. 2.45, 3.01,
4.00)
d. The P-value is equal to
. (Give the exact value from the standard normal table used in
class.)
e. The correct decision is to (reject or not reject)
Но
f. The correct conclusion is that there is (significant or insignificant)
sample evidence to
show that the manufacturer (demonstrates or does not demonstrate)
process capability
for the customer.
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