In: Statistics and Probability

Mr. Cooper recently gave a test to his 50 student history class. The scores were normally distributed with a mean of 75 and a standard deviation of 7.

1) What percentage of students scored higher than 85?% (Round to two decimal places)

2) What percentage of students scored between 73 and 80?% (round to two decimal places)

3) 75% of the students scored higher than what score? (Round to two decimal places)

4) 30% of students scored lower than what score? (Round to two decimal places)

5) Approximately how many students got a C (70) or higher on the exam? nothing

6) Approximately how many students got an A (90+) on the exam?

A statistics professor gave a 5-point quiz to the 50 students in
his class. Scores on the quiz could range from 0 to 5: The
following frequency table resulted: (1.5 points)
Quiz Score
f
rf
cf
crf
c%
5
4
.08
50
1.00
100%
4
10
.20
46
.96
96%
3
14
.28
36
.72
72%
2
10
.20
22
.44
44%
1
8
.16
12
.24
24%
0
4
.08
4
.08
8%
1. Compute the values that define...

Suppose that student scores on creativity test are normally
distributed. The mean of the test is 150 and the standard deviation
is 23. Using a z-table (normal curve table), what percentage of
students have z-scores a) below 1.63 b) above -0.41 Using a
z-table, what scores would be the top and bottom raw score to find
the c) middle 50% of students d) middle 10% of students Using a
z-table, what is the minimum raw score a student can have...

Suppose that student scores on math skills test are normally
distributed. The mean of the test is 35 and the standard deviation
is 4. Using a z-table (normal curve table), what percentage of
students have z-scores a) below 2.05 b) above -0.50 Using a
z-table, what scores would be the top and bottom score to find the
c) middle 15% of students d) middle 25% of students Using a
z-table, what is the minimum raw score a student can have...

The scores on the Test for the herbology course at Hogwarts were
normally distributed, and the z scores for some of the
students are shown below:
Harry: 1.10
Hermione: 1.70
Neville: -2.00
Ron: 0.00
Draco: -0.80
Luna: 1.60
If the mean score was μ=150 with standard deviation σ=20, what
was the test score for each student? (matching)
___Harry. A.184
___Hermione B.182
___Neville C.110
___Ron D.134
___Draco E.172
___Luna F.150

Suppose test scores in a nutrition class are normally
distributed. What is the probability that a randomly selected
student’s score is three standard deviations above the mean?
A.) Not enough information
B.) 0.9987
C.) 0.0013
D.) 0
E.) 0.0026

Scores on a statistics final in a large class were normally
distributed with a mean of 72 and a standard deviation of 4 . Use
the Cumulative Normal Distribution Table to answer the
following.
(a) Find the 37 th percentile of the scores.
(b) Find the 70 th percentile of the scores.
(c) The instructor wants to give an A to the students whose
scores were in the top 12 % of the class. What is the minimum score
needed...

Scores on a statistics final in a large class were normally
distributed with a mean of 76 and a standard deviation of 9.
(a) Find the 25th percentile of the scores.
(b) Find the 79th percentile of the scores.
(c) The instructor wants to give an A to the students whose
scores were in the top 13% of the class. What is the minimum score
needed to get an A?
(d) Between what two values is the middle 60% of...

Scores on a statistics final in a large class were normally
distributed with a mean of 71 and a standard deviation of 8. Use
the Cumulative Normal Distribution Table to answer the
following.
(a) Find the 30th percentile of the scores.
(b) Find the 70th percentile of the scores.
(c) The instructor wants to give an A to the students whose
scores were in the top 5 % of the class. What is the minimum score
needed to get an...

. Suppose the scores on a chemistry test were normally
distributed with a mean of 78 and a standard deviation of 10. If a
student who completed the test is chosen at random,
Find the probability that the student earned fewer than 75
points.
Find the probability that the student earned at least 70
points.
Find the probability that the student earned between 80 and 90
points.
Find the probability that the student earned either less than
80 points or...

For a certain standardized placement test, it was found that the
scores were normally distributed, with a mean of 190 and a standard
deviation of 30. Suppose that this test is given to 1000 students.
(Recall that 34% of z-scores lie between 0 and 1, 13.5% lie between
1 and 2, and 2.5% are greater than 2.)
(a) How many are expected to make scores between 160 and
220?
(b) How many are expected to score above 250?
(c) What...

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