A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 428 gram setting. It is believed that the machine is underfilling or overfilling the bags. A 46 bag sample had a mean of 433 grams. Assume the population variance is known to be 441. Is there sufficient evidence at the 0.01 level that the bags are underfilled or overfilled? Step 1 of 6: State the null and alternative hypotheses. Step 2 of 6: Find the value of the test statistic. Round your answer to two decimal places. Step 3 of 6: Specify if the test is one-tailed or two-tailed. Step 4 of 6: Find the P-value of the test statistic. Round your answer to four decimal places. Step 5 of 6: Identify the level of significance for the hypothesis test. Step 6 of 6: Make the decision to reject or fail to reject the null hypothesis. Step 7 of 7: State the conclusion of the hypothesis test.
A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 428 gram setting. It is believed that the machine is underfilling or overfilling the bags. A 46 bag sample had a mean of 433 grams. Assume the population variance is known to be 441. Is there sufficient evidence at the 0.01 level that the bags are underfilled or overfilled?
Step 1 of 6:
State the null and alternative hypotheses.
Step 2 of 6:
Find the value of the test statistic. Round your answer to two decimal places.
Step 3 of 6:
Specify if the test is one-tailed or two-tailed.
Step 4 of 6:
Find the P-value of the test statistic. Round your answer to four decimal places.
Step 5 of 6:
Identify the level of significance for the hypothesis test.
Step 6 of 6:
Make the decision to reject or fail to reject the null hypothesis.
Step 7 of 7:
State the conclusion of the hypothesis test.
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