Question

the manager of an ice cream shop surveyed a random sample of the shops customers about their favorite item to mix into their ice cream. the table shows the number of customers who selected each mix - in item. favorite mix - in item sprinkles gummy treats chocolate chips pb cup pieces pecan pieces chocolate cookie pieces other 7 36 18 25 13 48 3 which inferences about the favorite mix - in item of all of the shops customers are best supported by the data in the table? (choose 2) a they are more likely to select chocolate cookie pieces than gummy treats or pecan pieces. b they are less likely to select gummy treats, sprinkles, or peanut butter cup pieces than chocolate cookie pieces or chocolate chips. c they are certain to select any item rather than sprinkles to mix in.

Explanation:

Step1: Analyze option A

Number of customers who like chocolate - cookie pieces is 48, gummy treats is 36 and pecan pieces is 13. Since \(48>36\) and \(48 > 13\), this option is correct.

Step2: Analyze option B

Number of customers who like gummy treats is 36, sprinkles is 7, peanut - butter cup pieces is 25, chocolate - cookie pieces is 48 and chocolate chips is 18. \(36>18\), so the statement in option B is incorrect.

Step3: Analyze option C

The word "certain" is too strong. Just because only 7 customers chose sprinkles in the sample doesn't mean customers are certain to select any item other than sprinkles. There is still a non - zero probability of choosing sprinkles. This option is incorrect.

Answer:

A. They are more likely to select chocolate cookie pieces than gummy treats or pecan pieces.