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Suppose that the age of students at George Washington Elementary schoo.pdf

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The ages of students at a school are uniformly distributed from 6 to 11 years old. 43 students were randomly selected and asked their age. The distribution of each individual student's age is uniform. The distribution of the average age of the 43 students is normal with the mean equal to the average of the uniform distribution range and standard deviation equal to the uniform range divided by sqrt(43). The probability that the average age of the 43 students is between 8 and 8.6 years can be calculated using the normal distribution.

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Suppose that the age of students at George Washington Elementary school is uniformly distributed between 6 and 11 years old. 43 randomly selected children from the school are asked their age. Round all answers to 4 decimal places where possible. a. What is the distribution of X ? X U ( Suppose that 43 children from the school are surveyed. Then the sampling distribution is b. What is the distribution of x ? x N ( , c. What is the probability that the average of 43 children will be between 8 and 8.6 years old?

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