Test scores on a national exam follow a normal distribution

with mean 65 and standard deviation 15. Students that

score in the bottom 25

th

percentile on the exam will be

made to tutoring classes. Students at or below what grade

will be required to take tutoring classes

answers

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mdasfaaruddinshareefLv10

8 Jun 2023

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byzantiumchimpanzee773

GRE scores, Part II: Assume that scores on the verbal portion of the GRE (Graduate Record Exam) follow the normal distribution with a mean score 151 and standard deviation of 7 points, while the quantitative portion of the exam has scores following the normal distribution with mean 153 and standard deviation 7.67. Use this information to answer the following:

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Module 4 Minitab Assignment

Instructions:

Below you will find questions. Please use the provided data to complete the tasks and to answer the questions.

For the standard normal distribution, Z, find the proportion (percentage) of observations that satisfies each of the following statements. In each case, use a graph of the Normal curve and shade the area under the curve that is the answer to the question.

Values of z larger than 2.33.

Between z = −1.50 and z = 1.18.

Values of z less than 1.19.

A set of final examination grades in an introductory statistics course was found to be normally distributed with a mean of 77 and a standard deviation of 8. For each of the following produce a normal distribution plot showing the appropriate shaded area.

What percentage of students scored lower than 70 on this exam?

What percentage of students scored between 81 and 89?

What percentage of students scored higher than 90 on this exam?

What is the 80th percentile of scores?

What is the 95th percentile of scores?