Calculator commands required. Round test statistics, critical values and p-values to the thousands and Label answers.

4. Conduct a hypothesis test showing all of your steps. In a packing plant, a machine packs jars into boxes. In a random sample of 21 recorded times it took the new machine to pack 10 boxes, the mean was 42.06 seconds with a standard deviation of 0.68 seconds. In random sample of 15 recorded times it took the old machine to pack 10 boxes, the mean was 43.15 seconds with a standard deviation of 0.79 seconds. Can you claim the mean time the new machine packs boxes is lower than the old machine? Test this claim with a 2% level of significance. a) State the hypotheses and label the claim. b) Is the test left-tailed, right-tailed, or two-tailed (circle one)? c) What is/are the critical value(s)? Draw a picture. d) What is the P-value and test-statistic? e) State the conclusion . Give two reasons for your decision to rejectot reject Ho based on: 1) Test statistic compared to critical value 2) P-value compared to a Then, relate back to the original claim