As part of the quality-control program for a catalyst

Chapter 6, Problem 8E

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QUESTION:

As part of the quality-control program for a catalyst manufacturing line, the raw materials (alumina and a binder) are tested for purity. The process requires that the purity of the alumina be greater than 85%. A random sample from a recent shipment of alumina yielded the following results (in percent):

93.2 87.0 92.1 90.1 87.3 93.6

A hypothesis test will be done to determine whether

or not to accept the shipment.

a. State the appropriate null and alternate hypotheses.

b. Compute the P-value.

c. Should the shipment be accepted? Explain.

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QUESTION:

As part of the quality-control program for a catalyst manufacturing line, the raw materials (alumina and a binder) are tested for purity. The process requires that the purity of the alumina be greater than 85%. A random sample from a recent shipment of alumina yielded the following results (in percent):

93.2 87.0 92.1 90.1 87.3 93.6

A hypothesis test will be done to determine whether

or not to accept the shipment.

a. State the appropriate null and alternate hypotheses.

b. Compute the P-value.

c. Should the shipment be accepted? Explain.

ANSWER:

 

Step 1 of 2


a. Null hypothesis: The purity of the alumina is less than or equal to 85%.
Alternate hypothesis: The purity of the alumina is greater than 85%.

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