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In: Statistics and Probability

A turtle believes that the number of pellets he receives at each meal is approximately normal...

A turtle believes that the number of pellets he receives at each meal is approximately normal with unknown mean and variance. Data from the previous 24 meals yields a sample mean of 6.79 and sample standard deviation of 0.66.

5. He suspects that he is receiving less than 7 sticks per meal, on average. Is there enough evidence, at significance level ? = 0.05, to support his suspicion? Also, give a range for the p-value of the test.

6. Further, the turtle suspects that the standard deviation of the number of sticks he receives per meal is greater than 0.5. Is there enough evidence, at significance level ? = 0.01, to support this suspicion? Also, give a range for the p-value of the test.

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