STAT 35000 Chapter Notes - Chapter 7-8: Standard Deviation, Test Statistic
30 Jun 2017
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Develop a hypothesis test for the given situation: You are in charge of quality control in your food company. You sample randomly four packs of cherry tomatoes, each labeled 1/2 lb. (227 g). The average weight from your four boxes is 222 g. the packaging process has a known standard deviation of 5 g. Perform the appropriate significance test at a 0. 05 significance level to determine if the calibrating machine that sorts cherry tomatoes needs to be recalibrated. Step 1: identify the parameter of interest and describe it in the context of the problem situation. = the true average weight of cherry tomatoes in each box. H0: = 227 ha: 227. = (cid:884) p = 2 p(z -2) = 2(0. 0228) = 0. 0456. Step 4: make the decision: = 0. 05. We may reject h0 because 0. 0456 is only slightly smaller 0. 05.
