Question

Two of your friends each received the results of their first midterm exam this term. Jack's...

Two of your friends each received the results of their first midterm exam this term. Jack's score on the Spanish exam was 22.5 points (out of 25 points possible). The distribution of Spanish exam scores was normal (bell-shaped) with an average score of 20 points (out of 25 points possible) and a standard deviation of 2 points. Jill's score on the math exam was 72 points (out of 80 points possible). The distribution of math exam scores was uniform over the range of 22 to 80 points, with a mean of 51 points and a standard deviation of 16.8 points. Over coffee your friends begin discussing their results, each claiming they did better on their exam. They remember you are taking Stats 250 this term and turn to you for help to resolve the question: Who did better on their midterm exam? Write a brief explanation to address this question from a statistical point of view making use of the corresponding exam distributions. As your friends have not taken Stats 250 yet, you will want to communicate your findings in a reasonable way.

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