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 form a recent shipment of alumina yielded the following results (in %): 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) Compute the sample mean and sample standard deviation. (b) State the appropriate null and alternative hypotheses. (c) Compute the P-value. (d) Should the shipment be accepted? Explain

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Chapter1: Combinatorial Analysis
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2. 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 form a recent shipment of alumina yielded the
following results (in %):
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) Compute the sample mean and sample standard deviation.
(b) State the appropriate null and alternative hypotheses.
(c) Compute the P-value.
(d) Should the shipment be accepted? Explain

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