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In: Statistics and Probability

Suppose you want to know the variance of the weights of the only five iguanas in...

Suppose you want to know the variance of the weights of the only five iguanas in a particular zoo. You measure their weights to be 8.3, 8.4, 8.6, 9.2, and 9.5 pounds (15 points) What was different between the population variance and the sample variance? Which is bigger? Why is there a need to have a different formula? Write at least five good sentences in answering this question. (3 points) The population standard deviation is the square root of the population variance. Calculate the population standard deviation using part (c): (3 points) The sample standard deviation is the square root of the sample variance. Calculate the sample standard deviation using part (d): __________ (15 points) What is the difference between the population standard deviation and the sample standard deviation? When do you use each one? Write at least five good sentences in answering this question. (17 points) What did you do differently between calculating the variance and the standard deviation? What does each measure? Write at least five good sentences in answering this question.

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