ompanies dry freshly cut wood in kilns before selling it. A certain percentage of the boards become “checked,” which means that cracks develop at the ends of the boards during drying. The current drying procedure is known to produce cracks in 16% of boards. The drying supervisor at a lumbar company wants to test a new method to determine if fewer boards crack. She uses the new method on a random sample of 200 boards and finds that the sample proportion of checked boards is 0.11. a. State the hypotheses and define the parameter. b. A significance test yields a P-value of 0.027. Interpret this P-Value in context. c. What conclusions should be made at α = 0.05?
2.Lumber companies dry freshly cut wood in kilns before selling it. A certain percentage of the boards become
“checked,” which means that cracks develop at the ends of the boards during drying. The current drying
procedure is known to produce cracks in 16% of boards. The drying supervisor at a lumbar company wants to
test a new method to determine if fewer boards crack. She uses the new method on a random sample of 200
boards and finds that the sample proportion of checked boards is 0.11.
a. State the hypotheses and define the parameter.
b. A significance test yields a P-value of 0.027. Interpret this P-Value in context.
c. What conclusions should be made at α = 0.05?
d. Describe a Type I and Type II error for this situation.
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