Question

identify the percent of data that is between two values using a given standard deviation, mean, and the 68-95-99.7 rule. at a nearby frozen yogurt shop, the mean cost of a pint of frozen yogurt is $1.50 with a standard deviation of $0.10. assuming the data is normally distributed, approximately what percent of customers are willing to pay between $1.30 and $1.70 for a pint of frozen yogurt? a.) 34% b.) 95% c.) 99.7% d.) 68%

Answer 1

Using the empirical rule for a normal distribution, approximately 68% of customers are willing to pay between $1.30 and $1.70 for a pint of frozen yogurt. So the correct answer is option D.

Step-by-step explanation:

The question involves the use of the empirical rule, which is applicable to normally distributed data. We are given a mean cost of a pint of frozen yogurt as $1.50, and a standard deviation is $0.10. To find the percentage of customers willing to pay between $1.30 and $1.70, which is within one standard deviation from the mean on either side, we use the empirical rule. The empirical rule states that approximately 68% of the data will lie within one standard deviation of the mean in a normal distribution.