Conduct a hypothesis test showing all of your steps. In a packing plant, a machine packs jars into boxes. In a random sample of 19 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 14 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? c) What is/are the critical value(s)? Draw a picture. d) What is the P-value and test-statistic?
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Conduct a hypothesis test showing all of your steps.
In a packing plant, a machine packs jars into boxes. In a random sample of 19 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 14 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?
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 reject/not reject H0 based on: A. Test statistic compared to critical value B. P-value compared to α. Then, relate back to the original claim.
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