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6. Conduct a hypothesis test showing all of your steps. A previous study of cranes found that the average weight of their eggs was 208 mg. Last year a new study found the average weight of 13 random cranes' eggs was 209.6 mg with a standard deviation of L9 mg. Can the researchers claim that the mean egg weights are heavier? Test this claim with a 2% level of signicance. 1) State the hypotheses and label the claim. b) Is the test left-tailed, right-tailed, or two-tailed (circle one)? c) What islare 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 d Then, relate back to the original claim