Question
In: Statistics and Probability
Scores on a statistics final in a large class were normally distributed with a mean 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 A?
(d) Between what two values is the middle 60 % of the scores? Round the answers to at least two decimal places.
Solutions
orchestra answered 1 year agoRelated Solutions
Scores on a statistics final in a large class were normally distributed with a mean of...
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...
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...
Exam grades: Scores on a statistics final in a large class were normally distributed with a...
Exam grades: Scores on a statistics final in a
large class were normally distributed with a mean of
70 and a standard deviation of 10. Use the TI-84 PLUS calculator
to answer the following. Round the answers to at least two
decimals.
(a) Find the 42nd percentile of the scores.
(b) Find the 71st percentile of the scores.
(c) The instructor wants to give an A to the students whose
scores were in the top 10% of the class. What...
The final exam scores in a statistics class were normally distributed with a mean of 70...
The final exam scores in a statistics class were normally
distributed with a mean of 70 and a standard deviation of five.
What is the probability that a student scored less than 55% on the
exam?
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...
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 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 .....
A sample of final exam scores is normally distributed with a mean equal to 29 and...
A sample of final exam scores is normally distributed with a
mean equal to 29 and a variance equal to 25.
Part (a) What percentage of scores are between 24 and 34? (Round
your answer to two decimal places.)
Part (b) What raw score is the cutoff for the top 10% of scores?
(Round your answer to one decimal place.)
Part (c) What is the proportion below 23? (Round your answer to
four decimal places.)
Part (d) What is the...
A sample of final exam scores is normally distributed with a mean equal to 25 and...
A
sample of final exam scores is normally distributed with a mean
equal to 25 and a variance equal to 16.
Part (a)
What percentage of scares are between 21 and 29? (Round your
answer to two decimal places)
Part (b)
What raw score is the cutiff for the top 10% of scores? (Round
your answer to one decimal place)
Part (c)
What is the proportion below 20? (Round your answer to four
decimal places)
Part (d)
What is the...
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