Question

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 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.

Group of answer choices

99.7

90

95

68

None of the other choices represent a suitable response.

Answer 1