To obtain information on the corrosion-resistance properties of a certain type of steel conduit, 61 specimens are buried in soil for a 2-year period. The maximum penetration (in mils) for each specimen is then measured, yielding a sample average penetration of 53.0 while the population standard deviation is 4.9. The conduits were manufactured with the specification that true average penetration be at most 52 mils. They will be used unless it can be demonstrated conclusively that the specification has not been met. What would you conclude? (Use a significance level of 0.1.) (a) What are the null and alternative hypotheses? Ho P HA P 4 " 4 " 52 ÷ 52 ÷ (b) What is the test statistic? (Round your answer to 2 decimal places, if needed.) (c) Using the appropriate statistical table, the p-value is (Round your answer to 4 decimal places, if needed.) (d) Based on the p-value, one should reject the null hypothesis. (e) This data provides 52 mils. sufficient evidence that the true average penetration is different from

ENGR.ECONOMIC ANALYSIS
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To obtain information on the corrosion-resistance properties of a certain type of steel conduit, 61 specimens are
buried in soil for a 2-year period. The maximum penetration (in mils) for each specimen is then measured,
yielding a sample average penetration of 53.0 while the population standard deviation is 4.9. The conduits were
manufactured with the specification that true average penetration be at most 52 mils. They will be used unless it
can be demonstrated conclusively that the specification has not been met. What would you conclude? (Use a
significance level of 0.1.)
(a) What are the null and alternative hypotheses?
Ho P
HA P
4>
✰ 52 ÷
4
52 =
(b) What is the test statistic? (Round your answer to 2 decimal places, if needed.)
(c) Using the appropriate statistical table, the p-value is
(Round your answer to 4 decimal places, if needed.)
(d) Based on the p-value, one should reject
the null hypothesis.
(e) This data provides
52 mils.
sufficient evidence that the true average penetration is different from
Transcribed Image Text:To obtain information on the corrosion-resistance properties of a certain type of steel conduit, 61 specimens are buried in soil for a 2-year period. The maximum penetration (in mils) for each specimen is then measured, yielding a sample average penetration of 53.0 while the population standard deviation is 4.9. The conduits were manufactured with the specification that true average penetration be at most 52 mils. They will be used unless it can be demonstrated conclusively that the specification has not been met. What would you conclude? (Use a significance level of 0.1.) (a) What are the null and alternative hypotheses? Ho P HA P 4> ✰ 52 ÷ 4 52 = (b) What is the test statistic? (Round your answer to 2 decimal places, if needed.) (c) Using the appropriate statistical table, the p-value is (Round your answer to 4 decimal places, if needed.) (d) Based on the p-value, one should reject the null hypothesis. (e) This data provides 52 mils. sufficient evidence that the true average penetration is different from
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