Question

Suppose your statistics instructor gave six examinations during the semester. You received the following exam scores (percent correct): 83, 78, 87, 91, 95, and 71. To compute your final course grade, the instructor decided to randomly select two exam scores, compute their mean, and use this score to determine your final course grade.

a. Compute the population mean. This is your average grade based
on all of your grades. **(Round your answer to 2 decimal
places.)**

b. Compute the population standard deviation. **(Round
your answer to 2 decimal places.)**

c. How many difference scores could be calculated if your instructor decided to random sample two of your exam scores?

d. List all possible samples of size 2 and compute the mean of
each. **(Round your answers to 1 decimal place.)**

e. Compute the mean of the sample means and the standard error
of the sample means. **(Round your answers to 2 decimal
places.)**

f. Applying the central limit theorem, if the instructor
randomly samples two of your exam scores to compute an average as
your final course grade, what is the probability your final course
grade will be less than 84.17? What is the probability that your
final course grade will be more than 84.17? **(Round your
answers to 1 decimal places.)**

Answer #1

Suppose your statistics instructor gave six examinations during
the semester. You received the following exam scores (percent
correct): 80, 74, 90, 93, 94, and 73. To compute your final course
grade, the instructor decided to randomly select two exam scores,
compute their mean, and use this score to determine your final
course grade.
Compute the population mean. This is your average grade based on
all of your grades. (Round your answer to 2 decimal
places.)
Compute the population standard deviation....

Suppose your statistics instructor gave six examinations during
the semester. You received the following grades (percent correct):
79, 73, 88, 90, 95, and 77. Instead of averaging the six scores,
the instructor indicated he would randomly select two grades and
compute the final percent correct based on the two percents. a. How
many different samples, without replacement, of two test grades are
possible? b. Compute the mean of the sample means and compare it to
the population mean. (Round your...

Suppose that your statistics instructor gave six examinations
during the semester. You received the following grades (percentage
correct): 66, 76, 88, 72, 85, and 68. Instead of averaging the six
scores, the instructor indicated he would randomly select 4 grades
and report that grade to the student records office.
a. How many different samples, without
replacement, of 4 test grades are possible?
Different samples
b. Not available in Connect.
c. Compute the mean of the sample means and...

The final exam in a certain course has scores that are normally
distributed with a mean of 70.9 with a standard deviation of 6.1.
If 19 students are randomly selected, find the probability that the
mean of their final exam scores is less than 67.
Round your answer 4 places after the decimal
point.

The final exam in a certain course has scores that are normally
distributed with a mean of 82.4 with a standard deviation of 5.9.
If 23 students are randomly selected, find the probability that the
mean of their final exam scores is less than 84. Round your answer
4 places after the decimal point.

The final exam grade of a statistics class has a skewed
distribution with a mean of 78 and a standard deviation of 7.8. If
a random sample of 36 students selected from this class, then what
is the probability that the average final exam grade of this sample
is between 75 and 80? (round to 4 decimal places)

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....

The professor of a Statistics class has stated that,
historically, the distribution of final exam grades in the course
resemble a Normal distribution with a mean final exam mark of
μ=60μ=60% and a standard deviation of σ=9σ=9%.
(a) What is the probability that a random chosen
final exam mark in this course will be at least 73%? Answer to four
decimals.
equation editor
(b) In order to pass this course, a student must
have a final exam mark of at...

Suppose we have the following data on scores for two
exams:
EXAM 1. EXAM 2
90
90
96
92
80
88
70
84
77
86
82
78
75
a. Test to see whether the variances for the two examinations are
equal. Test at the 0.05 level.
b. Using your result in (a), conduct a t-test to see whether the
means for the two examinations are equal. Test...

The final exam grade of a statistics class has a skewed
distribution with mean of 81 and standard deviation of 7.2. If a
random sample of 32 students selected from this class, then what is
the probability that average final exam grade of this sample is
between 80 and 85? (keep 4 decimal places)

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