How to calculate probability that a sample mean falls within a given range?

EVERETTSE

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Feb 14, 2016
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Hi, I was wondering if someone could give me calculator instructions (for a TI-83) to calculate the following question. I have provided the original information (a series of questions related back to this info), and then the specific question which I want to answer:

Almost all medical schools in the United States require students to take the Medical College Admission Test (MCAT). The exam is composed of three multiple-choice sections (Physical Sciences, Verbal Reasoning, and Biological Sciences). The score on each section is converted to a 15 point scale so that your total score has a maximum value of 45. The scores follow a Normal distribution and in 2013, the mean was 25.3 with a standard deviation of 6.5.

Question: If the sample consisted of 16 students, w
hat is the probability that the sample mean is greater than 29?
 
Hi, I was wondering if someone could give me calculator instructions (for a TI-83) to calculate the following question. I have provided the original information (a series of questions related back to this info), and then the specific question which I want to answer:

Almost all medical schools in the United States require students to take the Medical College Admission Test (MCAT). The exam is composed of three multiple-choice sections (Physical Sciences, Verbal Reasoning, and Biological Sciences). The score on each section is converted to a 15 point scale so that your total score has a maximum value of 45. The scores follow a Normal distribution and in 2013, the mean was 25.3 with a standard deviation of 6.5.

Question: If the sample consisted of 16 students, w
hat is the probability that the sample mean is greater than 29?

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