A manufacturer of potato chips would like to know whether itsbag filling machine works correctly at the 409.0 gram setting.Based on a 36 bag sample where the mean is 414.0 grams, is theresufficient evidence at the 0.05 level that the bags are overfilled?Assume the standard deviation is known to be 26.0.
Step 1: Enter the hypotheses:
Ho:___________________
Ha:___________________
Step 2: Find the value of the test statistic. Round your valueto three decimal places
Step 3: Specify if the test is one tailed or two tailed
Step 4: Determine the decision rule for rejecting the nullhypothesis. Round your value to three decimal places.
Step 5. Enter the value of the level of significance.
Step 6: Make the decision to reject or fail to reject the Nullhypothesis.
(A) Reject the null hypothesis
(B) Fail to reject the null hypothesis