# Additional_Problems - Sara a structures student on a summer...

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Sara, a structures student on a summer job, got into an argument about the weight of special cinderblocks. The debate addressed whether cinderblocks weigh more than 30 lbs each. Sarah thought they did. To resolve the conflict, she measured the weight of 10 blocks and found their sample average was 32.4 lbs, with a sample standard deviation of 2.3 lbs. (a) Develop a hypothesis test using a t statistic to pursue her case – specify (b) For a type I error of 5%, what do you conclude? (c) What p-value does one obtain with this data? (d) Why do statisticians like to report p-values? (e) If σ really equals 2.0, and the true mean is 32.0, what is β for the test above? (f) If σ really equals 2.0, what would the true mean weight of cinderblocks have to be for the type II error for this test to be < 1% when n = 10 and α = 5%

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A transportation engineer conducted a series of tests to demonstrate that a new cement mix for highway construction will withstand 25 years of service. She develops a wear
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Additional_Problems - Sara a structures student on a summer...

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