A cereal manufacturer wants to test the performance of one of its filling machines. The machine is designed to discharge a mean amount of u = 340 grams per box, and the manufacturer wants to detect any departure from this setting. This quality study calls for a random sampling of 100 boxes from today's production run and determining whether the mean fill for the run is 340 g/box. The sample yields the following results: n = 100 observations and x = 337.9 g/box. The population standard deviation is known to be o = 14.2 g/box from previous performance tests. %3D The daily production run is N = 2500 boxes. Use these data to conduct the test of hypothesis. Let a = 0.02. Follow the procedure for tests of hypothesis and use a 2% level of significance. Use the following hypotheses. Ho: u = 340 g/box H1: u # 340 g/box %3D

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A cereal manufacturer wants to test the performance of one of its filling machines. The
machine is designed to discharge a mean amount of µ = 340 grams per box, and the
manufacturer wants to detect any departure from this setting. This quality study calls for a
random sampling of 100 boxes from today's production run and determining whether the mean
%3D
fill for the run is 340 g/box.
The sample yields the following results: n = 100 observations and x = 337.9 g/box. The
population standard deviation is known to be o = 14.2 g/box from previous performance tests.
%3D
%3D
%3D
The daily production run is N = 2500 boxes. Use these data to conduct the test of hypothesis.
%3D
Let a = 0.02.
%3D
Follow the procedure for tests of hypothesis and use a 2% level of significance. Use the
following hypotheses..
Họ: µ = 340 g/box
%3D
H1: µ # 340 g/box
Transcribed Image Text:A cereal manufacturer wants to test the performance of one of its filling machines. The machine is designed to discharge a mean amount of µ = 340 grams per box, and the manufacturer wants to detect any departure from this setting. This quality study calls for a random sampling of 100 boxes from today's production run and determining whether the mean %3D fill for the run is 340 g/box. The sample yields the following results: n = 100 observations and x = 337.9 g/box. The population standard deviation is known to be o = 14.2 g/box from previous performance tests. %3D %3D %3D The daily production run is N = 2500 boxes. Use these data to conduct the test of hypothesis. %3D Let a = 0.02. %3D Follow the procedure for tests of hypothesis and use a 2% level of significance. Use the following hypotheses.. Họ: µ = 340 g/box %3D H1: µ # 340 g/box
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