Question
Two of your friends are both applying for jobs. Their dream companies required an aptitude test as part of their recruitment process. Both of your
Two of your friends are both applying for jobs. Their dream companies required an aptitude test as part of their recruitment process. Both of your friends have completed their aptitude tests.
- Natalie's score on the aptitude test for Disney Pixar was 45 points (out of 50 points possible). The distribution of aptitude test scores for Disney Pixar was normal with an average score of 42.5 points (out of 50 points possible) and a standard deviation of 2 points.
- Adolfo's score on the aptitude test for Amazon was 81 points (out of 90 points possible). The distribution of aptitude test scores for Amazon was uniform over the range of 25 to 90 points, with a mean of 57.5 points and a standard deviation of 18.8 points.
Over coffee, your friends begin discussing their results for their respective tests, each claiming they did better on their test. They remember you are taking Stats 250 this term and turn to you for help to resolve the question: Who did better on their aptitude test?
Write a brief explanation to address this question from a statistical point of view making use of the corresponding exam distributions. Be sure that your explanation includes appropriate supporting work.
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