Question
In: Statistics and Probability
1) Suppose the scores of students on a Statistics course are Normally distributed with a mean...
1) Suppose the scores of students on a Statistics course are
Normally distributed with a mean of 542 and a standard deviation of
98. What percentage of the students scored between 542 and 738 on
the exam? (Give your answer to 3 significant figures.)
2) A new car that is a gas- and electric-powered hybrid has recently hit the market. The distance travelled on 1 gallon of fuel is normally distributed with a mean of 65 miles and a standard deviation of 6 miles. Find the probability of the following events:
A. The car travels more than 69 miles per gallon.
Probability =
B. The car travels less than 59 miles per gallon.
Probability =
C. The car travels between 59 and 68 miles per gallon.
Probability =
3)
(1 point) Suppose that X is normally distributed with mean 85 and standard deviation 20.
A. What is the probability that X is greater than 118?
Probability =
B. What value of XX does only the top 18% exceed?
X =
Solutions
orchestra answered 2 years agoRelated Solutions
Scores of students in a large Statistics class are normally distributed with a mean of 75...
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...
Suppose the scores of students on an exam are normally distributed with a mean of 340...
Suppose the scores of students on an exam are normally
distributed with a mean of 340 and a standard deviation of 57. Then
according to the Empirical Rule approximately 99.7 of the exam
scores lie between the integers and .
Suppose the scores earned on a statistics test are normally distributed with a mean of 65...
Suppose the scores earned on a statistics test are normally
distributed with a mean of 65 and a standard deviation 8. The
instructor wants to curve the test scores as follows: The top 5%
get an A, the next 20% get a B, the middle 50% get a C, the bottom
10% get an F, and the rest earn a D. Determine the score cutoffs
for the test.
Suppose that GMAT scores of all MBA students in Canada are normally distributed with a mean...
Suppose that GMAT scores of all MBA students in Canada are
normally distributed with a mean of 550 and a standard deviation of
120.
a. A university (that is representative of the MBA students in
the U.S.) claims that the average GMAT scores of students in its
MBA program are at least 550. You take a sample of 121 students in
the university and find their mean GMAT score is 530. Can you still
support the University’s claim? Test at...
The claim is that the IQ scores of statistics professors are normally distributed, with a mean...
The claim is that the IQ scores of statistics professors are
normally distributed, with a mean less than 133. A sample of 11
professors had a mean IQ score of 130 with a standard deviation of
8. Find the value of the test statistic.
The claim is that the IQ scores of statistics professors are normally distributed, with a mean...
The claim is that the IQ scores of statistics professors are
normally distributed, with a mean less than 125. A sample of 19
professors had a mean IQ score of 123 with a standard deviation of
4. Find the value of the test statistic. The value of the test
statistic is .....
(1 point) final scores in a mathematics course are normally distributed with a mean of 71...
(1 point) final scores in a mathematics course are normally
distributed with a mean of 71 and a standard deviation of 13. Based
on the above information and a Z-table, fill in the blanks in the
table below.
Precision and other notes: (1) Percentiles should
be recorded in percentage form to three decimal
places.
(2) Note that this problem does not use the rough values of the
68-95-99.7 rule (that is, the empirical rule); instead you
must use more precise...
The final marks in a statistics course are normally distributed with a mean of 70 and...
The final marks in a statistics course are normally
distributed with a mean of 70 and a variance of 100. The professor
must convert all marks to letter grades. He decides that he wants
10% A's, 30% B's, 40% C's, 15% D's and 5% F's. Determine the
cutoffs for each letter grade.
The SAT scores for students are normally distributed with a mean of 1000 and a standard...
The SAT scores for students are normally distributed with a mean
of 1000 and a standard deviation of 200. What is the probability
that a sample of 45 students will have an average score between 970
and 1010? Round your answer to 3 decimal places.
The SAT scores for students are normally distributed with a mean of 1000 and a standard...
The SAT scores for students are normally distributed with a mean
of 1000 and a standard deviation of 200. What is the probability
that a sample of 36 students will have an average score between 970
and 1010? Round your answer to 3 decimal places.
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