A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the443gram setting. Based on a14bag sample where the mean is 446grams and the variance is 121, is there sufficient evidence at the0.025 level that the bags are overfilled? Assume the population distribution is approximately normal.

Step 1 of 5:State the null and alternative hypotheses.

Step 2 of 5:Find the value of the test statistic. Round your answer to three decimal places.

Step 3 of 5:Specify if the test is one-tailed or two-tailed.

Step 4 of 5:Determine the decision rule for rejecting the null hypothesis. Round your answer to three decimal places.

Step 5 of 5:Make the decision to reject or fail to reject the null hypothesis.