5.24 Grades in a math course. Indiana University posts the grade distributions for its courses online." In one spring semester, students in Math 118 received 16.1% A's, 34.3% B's, 29.2% C's, 9.6% D's, and 9.8% F's. (a) Using the common scale A = 4, B = 3, C = 2, D = 1, F = 0, take X to be the grade of a randomly chosen Math 118 student. Use the definitions of the mean (page 237) and standard deviation (page 245) for discrete random variables to find the mean µ and the standard deviation o of grades in this section. n %3D (b) Math 118 is a large enough course that we can take the grades of an SR.S of 25 students and not worry about the finite populaticn correction factor. If x is the average of these 25 grades, what are the mean and standard deviation of x? ineg 008A (c) What is the probability that a randomly chosen Math 118 student gets a B or better, P(X > 3)?
5.24 Grades in a math course. Indiana University posts the grade distributions for its courses online." In one spring semester, students in Math 118 received 16.1% A's, 34.3% B's, 29.2% C's, 9.6% D's, and 9.8% F's. (a) Using the common scale A = 4, B = 3, C = 2, D = 1, F = 0, take X to be the grade of a randomly chosen Math 118 student. Use the definitions of the mean (page 237) and standard deviation (page 245) for discrete random variables to find the mean µ and the standard deviation o of grades in this section. n %3D (b) Math 118 is a large enough course that we can take the grades of an SR.S of 25 students and not worry about the finite populaticn correction factor. If x is the average of these 25 grades, what are the mean and standard deviation of x? ineg 008A (c) What is the probability that a randomly chosen Math 118 student gets a B or better, P(X > 3)?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question

Transcribed Image Text:(a) Explain to someone who knows no statistics what it
means to say that x is an "unbiased" estimator of .
(b) The sample result x is an unbiased estimator of the
population truth u no matter what size SRS the study
chooses. Explain to someone who knows no statistics
health age
standard a
Weights an
the popula
why a large sample gives more trustworthy results than a
small sample.
are not ve:
25 passen;
in the win
5225 pour
5 24 Grades in a math course. Indiana University posts
the grade distributions for its courses online." In one
spring semester, students in Math 118 received 16.1% A's,
34.3% B's, 29.2% C's, 9.6% D's, and 9.8% F's.
restate the
5.26
monej
500 Index
(a) Using the common scale A = 4, B = 3, C = 2, D = 1,
F = 0, take X to be the grade of a randomly chosen Math
118 student. Use the definitions of the mean (page 237)
and standard deviation (page 245) for discrete random
variables to find the mean µ and the standard deviation o
of grades in this section.
Suppose
the Index
12%, the
mean 5%
between
(a) The re
What are
(b) Math 118 is a large enough course that we can take
the grades of an SR.S of 25 students and not worry about
the finite populaticn correction factor. If x is the average
of these 25 grades, what are the mean and standard
deviation of x?
(b) The c
symmetr:
observati
pinsq 0084
return ov
(c) What is the probability that a randomly chosen Math
118 student gets a B or better, P(X > 3)?
Normal.
is the ap
greater t.
(d) What is the approximate probability that the grade
point average for 25 randomly chosen Math 118 students
is B or better, P(ã>3)?
(c) The c
because
R. To see
(e) Explain why the probabilities in parts (c) and (d) are
so different.
year and
9%. If Je
at the en
5.25 Weights of airline passengers. In 2019, the
Federal Aviation Administration (FAA) updated its
How doe
if both y
standard average passenger weight to be based on
doto from U.S. government health agency surveys.2 It
1'h ingludor clothing
no may be a
the geom
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