Question

The
average score of the students in one calculus class is 75, with a
standard deviation of 5. The average score of the students in
statistics class is 85 with a standard deviation of 5. Which class
is more variable in terms of scores?

Answer #1

Scores of students in a large Statistics class are normally
distributed with a mean of 75 points and a standard deviation of 5
points.
Find the probability that a student scores more than 80
points
If 100 students are picked at random, how many do you expect to
score below 70 points?
If top 10% of students obtain an A grade, how much should a
student obtain to get an A grade.
Suppose four students are picked at random, find...

The average on a statistics test was 75 with a standard
deviation of 11. If the test scores are normally distributed, find
the probability that the mean score of 36 randomly selected
students is between 72 and 81.

2.
The average on a statistics test was 75 with a standard deviation
of 11. If the test scores are normally distributed, find the
probability that the mean score of 36 randomly selected students is
between greater than 81. *

The average grade of a Calculus class is 78 with a
standard deviation of 8. How many students will get grades between
70 and 90? If the top 15% of the students will receive an A, what
is the cut off grades for A?

One college class had a total of 70 students. The average score
for the class on the last exam was 85.2 with a standard deviation
of 4.4. A random sample of 32 students was selected. a. Calculate
the standard error of the mean. b. What is the probability that the
sample mean will be less than 87? c. What is the probability that
the sample mean will be more than 86? d. What is the probability
that the sample mean...

8. In a
statistics class, the average grade on the final examination was 75
with a standard deviation of 5.
a.
Use Chebyshev’s theorem to answer: At least what percentage of
the students received grades between 50 and 100?
b.
What is the z-score for a student who had an examination score
of 91?
c. Would the test score from part b., be
considered an outlier? Explain.
9. Assume we have a symmetric or bell shaped distribution. Using...

Scores of students in a large Statistics class test are normally
distributed with a mean of 75 points and a standard deviation of 5
points.Find the probability that a student scores more than 80
pointsIf 100 students are picked at random, how many do you expect
to score below 70 points?If top 10% of students obtain an A grade,
how much should a student obtain to get an A grade.Suppose four
students are picked at random, find the probability that...

One stats class consists of 52 women and 28
men. Assume the average exam score on Exam 1 was 74 (σ =
10.43; assume the whole class is a population).
A random sample of 16 students yielded an average of a 75 on the
first exam (s=16). What is the z-score of the sample mean? Is this
sample significantly different from the population? (Hint: Use the
z-score formula for locating a sample mean)
-0.67, sample is not significantly different from the...

A class of two hundred students took a calculus final. If the
sample mean for thirty randomly selected students was 95 percent
with a (sample) standard deviation of 6.6 percent, construct a 99%
confidence interval for the mean score of all students. Show all
work, including the formula you are using.

In a class of 100 students, the average score in the final exam
was 72 out of 100 with a standard deviation of 5. A statistician
computes the following approximate 95% confidence interval 72 ±
1.96 · 5/ √ 100 = 72 ± 0.98. Is he correct or not? Explain.

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