62 93 54 76 73 98 64 55 80 71 Previous experience with this course suggests that these scores should come from a distribution that is approximately Normal with mean 72 and standard deviation 10. The grading policy says that the cutoffs for the other grades correspond to the following: bottom 5% receive F, next 10% receive D, next 35% receive C, and next 30% receive B. These cutoffs are based on the N(72, 10) distribution. (a) Give the cutoffs for the grades in this course in terms of standardized scores. (Round your answers to two decimal places.) Letter Grade Standardized Cutoff D. C. (b) Give the cutoffs in terms of actual total scores. (Round your answers to the nearest whole number.) Letter Grade Scoring Ranges

62 93 54 76 73 98 64 55 80 71 Previous experience with this course suggests that these scores should come from a distribution that is approximately Normal with mean 72 and standard deviation 10. The grading policy says that the cutoffs for the other grades correspond to the following: bottom 5% receive F, next 10% receive D, next 35% receive C, and next 30% receive B. These cutoffs are based on the N(72, 10) distribution. (a) Give the cutoffs for the grades in this course in terms of standardized scores. (Round your answers to two decimal places.) Letter Grade Standardized Cutoff D. C. (b) Give the cutoffs in terms of actual total scores. (Round your answers to the nearest whole number.) Letter Grade Scoring Ranges

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Concept explainers

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!

Question

Here are the total scores of 10 students in an introductory statistics course.
62 93 54 76 73 98 64 55 80 71
Previous experience with this course suggests that these scores should come from a distribution that is approximately
Normal with mean 72 and standard deviation 10. The grading policy says that the cutoffs for the other grades
correspond to the following: bottom 5% receive F, next 10% receive D, next 35% receive C, and next 30% receive B.
These cutoffs are based on the N(72, 10) distribution.
(a) Give the cutoffs for the grades in this course in terms of standardized scores. (Round your answers to two
decimal places.)
Letter Grade Standardized Cutoff
D.
C.
(b) Give the cutoffs in terms of actual total scores. (Round your answers to the nearest whole number.)
Letter Grade
Scoring Ranges
0 to
D.
to
to
to
(c) Do you think that this method of assigning grades is a good one? Give reasons for your answer.

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