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A particular population, for which the frequency curve is bell-shaped (normal), has a mean of μ=100...

A particular population, for which the frequency curve is bell-shaped (normal), has a mean of μ=100 and a standard deviation of σ=18. For samples of size n=36 consider the sampling distribution of the sample mean ("xbar"). Note that {18\squareroot of 36) =3 and that

100±(1)(3)⟹97 to 103

100±(2)(3)⟹94 to 106

100±(3)(3)⟹91 to 109

According to the empirical rule, approximately _____ percent of samples of size 36 will produce a sample mean between 97 and 103.

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