When Bella goes bowling, her scores are normally distributed with a mean of 170 and a standard deviation of 13. Using the empirical rule, determine the interval that would represent the middle 68% of the scores of all the games that Bella bowls.
Answer
To find the interval that represents the middle 68% of the scores, we need to look at one standard deviation above and below the mean.
68% of the scores fall within one standard deviation of the mean according to the empirical rule.
So, the middle 68% of Bella's scores would fall between 157 and 183.
Therefore, the interval that represents the middle 68% of the scores is 157 to 183.