Question

3. A statistical analysis is made of the midterm and final scores in a large course, with the following results: (20 points) Average midterm score = 65, SD = 10, Average final score = 65, SD = 12, r = 0.6 The scatter diagram is football shaped. a. About what percentage of the class final scores above 70? ((5 points) b. A student midterm was 75. Predict his final score (5 points) c. Suppose the percentile rank of midterm score was 95%, predict his percentile rank on the final score (5 points). d. Of those whose midterm score was 70, about what percentage of final scores over 80? (5 points)

Answer #1

Suppose we have collected the midterm and ﬁnal scores of 200
students in a Statistics class, and we observed that the scatter
plot of ﬁnal scores versus midterm scores is roughly linear.
Suppose the average midterm score is 76, with SD 12, and the
average ﬁnal score is 71, with SD 10. Suppose the correlation
coeﬃcient between midterm and ﬁnal scores is 0.6.
Use the regression line, or an equivalent regression procedure, to
predict the ﬁnal score for someone who...

Using the accompanying Student Grades data, construct a scatter
chart for midterm versus final exam grades and add a linear
trendline. What is the model? If a student scores 7878 on the
midterm, what would you predict her grade on the final exam to
be?
Student
Midterm
Final Exam
1
75
64
2
85
91
3
80
68
4
88
83
5
76
60
6
67
80
7
78
74
8
95
94
9
67
61
10
93
87
11...

Suppose that you are taking a course.
There are two midterms and a final exam. Each midterm impacts 25%
of the course grade while final exam impacts 50% of the grade. The
first and second midterm scores follow a normal distribution with
mean 84 points and the standard deviation of 9 points and mean 85
points and the standard deviation of 6. Assume that the final exam
is also normally distributed with mean 87 and standard deviation of
6 points....

1.
Suppose that the average grades of an introduction to marketing
course final is 70 with a standard deviation of 5.
Chris got 60 in this exam, please calculate Chris’ z-score.
How do we interpret that number?
2.
Cassie got 85 in this exam, please calculate Cassie’s
z-score.
How do we interpret that number?
Now calculate what percentile Cassie’s score lies.
3.
Find the interval of scores within which 95% of the
students
fall (z-score =
±1.96)
in this exam.

A study was conducted to determine whether the final grade of a
student in an introductory psychology course is linearly related to
his or her performance on the verbal ability test administered
before college entrance.
The verbal scores and final grades for 10 students are shown in
the table below.
Student, Verbal Score x, Final Grade y
1 26 63
2 79 90
3 69 88
4 75 65
5 55 70
6 51 68
7 39 97
8 75...

The accompanying data represent the number of days absent, x,
and the final exam score, y, for a sample of college students in a
general education course at a large state university. Complete
parts (a) through (e) below.
Absences and Final Exam Scores
No. of absences, x
0
1
2
3
4
5
6
7
8
9
Final exam score, y
89.6
87.3
83.4
81.2
78.7
74.3
64.5
71.1
66.4
65.6
Critical Values for Correlation Coefficient
n
3
0.997
4...

Probability & Statistics Sec-3 with Dr. Kishore Kumar P. K. for
Sem II 2020
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EN MATH4130-3 KK 2020-2
OFA - ONLINE FINAL ASSIGNMENT
Final Online Assignment Questions
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Question text
A1.1. The following are the points to draw a less than ogive curve
from a frequency distribution.
(7, 4), (14, 12), (21, 24), (28, 39), (35, 49), (42, 56), (49, 61),
(56, 64), (63, 65)
a) ...

Calculate the mean, median, mode, variance (population) and
standard deviation (sample) for the following test grades: 65, 60,
67, 71, 75, 80, 65 Use this information to answer questions #1-4.
Question 1 (0.5 points) Saved The mode is: Question 1 options: 65
60 There is no modal category 75 71 Question 2 (0.5 points) Saved
The median is: Question 2 options: 67 65 80 66 None of the above
Question 3 (0.5 points) What is the approximate population variance
for...

In this second portion of the Final Exam, you will critically
evaluate a quantitative research study on a social science topic.
Your instructor will post an announcement with the reference for
the article assigned for the exam. The study will be from a
peer-reviewed journal and published within the last 10 years.
In the body of your critique, describe the statistical
approaches used, the variables included, the hypothesis(es)
proposed, and the interpretation of the results. In your
conclusion, suggest other...

1.The sample mean is an unbiased estimator for
the population mean. This means:
The sample mean always equals the population mean.
The average sample mean, over all possible samples, equals the
population mean.
The sample mean will only vary a little from the population
mean.
The sample mean has a normal distribution.
2.Which of the following statements is
CORRECTabout the sampling distribution of the
sample mean:
The standard error of the sample mean will decrease as the
sample size increases....

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