Solve the given problem. Identify the appropriate rejection region for a given level of significance when the population variance is assumed to be known. Is a soda-dispensing machine performing according to specification? Pepsi's dispensing machine is designed to fill bottles with exactly 3 liters of their product. To test if the machine is performing according to specification, we collect a sample of 50 “3-liter" bottles. The average quantity contained in the sample bottles is ?̅ = 2.585 liters. The (population) standard deviation of the fill is known to be 2.05. Test whether the machine is in control, at the 5% level of significance. Give the solution by using this method Step 1: Identify the given. Step 2: Formulate the null and alternative
Solve the given problem. Identify the appropriate rejection region for a given level of significance when the population variance is assumed to be known.
Is a soda-dispensing machine performing according to specification? Pepsi's dispensing machine is designed to fill bottles with exactly 3 liters of their product. To test if the machine is performing according to specification, we
collect a sample of 50 “3-liter" bottles. The average quantity contained in the sample bottles is ?̅ = 2.585 liters. The (population) standard deviation of the fill is known to be 2.05. Test whether the machine is in control, at the 5% level of significance.
Give the solution by using this method
Step 1: Identify the given.
Step 2: Formulate the null and alternative hypotheses.
Step 3: Identify the z-value using z-table.
Step 4: Compute the test statistic.
Step 5: Illustrate the distribution and decide whether to reject or accept the null hypothesis.
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