Solved: State hypotheses find the test statistic and critical value, Basic Statistics

State hypotheses find the test statistic and critical value

Insurance companies are interested in knowing the mean weight of machine; they believe it is 3000 pounds. To see if that assumption is correct, they checked a random sample of 101 machines. For that group the mean weight was 2867 pounds, with standard deviation of 541.8 pounds. Perform a test at α=0.01 to determine if the true mean weight of all machines is different than 3000 pounds.

Question: State hypotheses, find the test statistic and critical value, and state conclusion. (3 decimal round)

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Basic Statistics: State hypotheses find the test statistic and critical value

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