Question

Mrs. Miller's geometry test scores are normally distributed with a mean score of 70 (2) and a standard deviation of 3 (o),Using the Empirical Rule, about 95% of the scores lle between which two values?TeisThe AlProvide your answer below

Answer 1

95% of the scores lie between the values

$\begin{gathered} \mu-2\sigma\text{ and }\mu+2\sigma\text{ } \\ \text{where }\mu\text{ = mean = 70 and } \\ \sigma=\text{ standard deviation = 3} \\ \mu-2\sigma\text{ = 70 -2(3) = 70 -6 =64} \\ \mu+2\sigma\text{ = 70 + 2(3) = 70+ 6 = 76} \end{gathered}$

Hence,

95% of the scores lie between the values 64 and 76