A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 422422 gram setting. Based on a 2828 bag sample where the mean is 412412 grams and the standard deviation is 1818, is there sufficient evidence at the 0.0250.025 level that the bags are underfilled? Assume the population distribution is approximately normal.
1) Find the value of the test statistic. Round your answer to three decimal places.
2) Specify if the test is one-tailed or two-tailed.
3) Determine the decision rule for rejecting the null hypothesis. Round your answer to three decimal places.
4) Make the decision to reject or fail to reject the null hypothesis.