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A sample of 49 people from East Carolina produced a mean of 7 and a standard dev

ID: 3052649 • Letter: A

Question

A sample of 49 people from East Carolina produced a mean of 7 and a standard deviation of 6. A sample of 36 people from New Idaho produced a mean of 42 and a standard deviation of 13. What is the standard error of the random variable representing the difference of the sample means? Give your answer to two decimal places. A sample of 49 people from East Carolina produced a mean of 7 and a standard deviation of 6. A sample of 36 people from New Idaho produced a mean of 42 and a standard deviation of 13. What is the standard error of the random variable representing the difference of the sample means? Give your answer to two decimal places.

Explanation / Answer

n1 = 49 ,s1 = 6 , n2= 36 , s2 = 13

standard error = sqrt(s1^2/n1 +s2^2/n2)
= sqrt(6^2/49 + 13^2/36)
= 2.3301

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