A production process produces and packages soap in boxes weighing 140 grams. Owing to inspection carried out by several large municipalities, the penalty for placing, on the average, less than 140 grams in a box can be severe. Likewise it would also be wasteful for the company if they place, on the average, more than 140 grams in a box. Hence, the machine was adjusted to put 140 grams of soap in a box. After a year, the company wants to check if there is a need to readjust the machine. The company wishes to perform a test of hypothesis at 0.01 level of significance using the following data collected from a random sample: (photo attached). • State Ho and Ha. • Write the formula of the test statistic to be used. • State the decision rule at 0.01 level of significance. • Compute for the value of the test statistic. • Is there sufficient evidence at 0.01 level of significance for the company to conclude that mean weight of soap packaged in a box is not anymore 140 grams so that there is a need to readjust the machine?
A production process produces and packages soap in boxes weighing 140 grams. Owing to inspection carried out by several large municipalities, the penalty for placing, on the average, less than 140 grams in a box can be severe. Likewise it would also be wasteful for the company if they place, on the average, more than 140 grams in a box. Hence, the machine was adjusted to put 140 grams of soap in a box. After a year, the company wants to check if there is a need to readjust the machine. The company wishes to perform a test of hypothesis at 0.01 level of significance using the following data collected from a random sample: (photo attached).
• State Ho and Ha.
• Write the formula of the test statistic to be used.
• State the decision rule at 0.01 level of significance.
• Compute for the value of the test statistic.
• Is there sufficient evidence at 0.01 level of significance for the company to conclude that mean weight of soap packaged in a box is not anymore 140 grams so that there is a need to readjust the machine?
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