Round all intermediate steps to six decimal places if necessary. As part of the
ID: 3219318 • Letter: R
Question
Round all intermediate steps to six decimal places if necessary. 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 polity of the alumina be greater than 84.5%. A random sample from a recent shipment of alumina yielded the following results (in percent): 93.2 87.0 92.5 90.3 86.7 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. H_0: mu lessthanorequalto 84.5 versus H_1: > 84.5 (b) Give the range for the P-value. .Explanation / Answer
Correct Answer:=P-Value: 0.0024
Since
Alternative Hypothesis: µ > 84.5
Sample Size, n: 6
Mean: 90.55
Standard Deviation, s: 3.085936
t Test:
Test Statistic, t: 4.8022
Critical t: 2.0150
P-Value: 0.0024
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