Question
In: Statistics and Probability
The grades on a statistics test are normally distributed with a mean of 62 and Q1=52....
The grades on a statistics test are normally distributed with a mean of 62 and Q1=52. If the instructor wishes to assign B's or higher to the top 30% of the students in the class, what grade is required to get a B or higher?
Please round your answer to two decimal places.
The distribution of scores on a recent test closely followed a Normal Distribution with a mean of 22 points and a standard deviation of 2 points. For this question, DO NOT apply the standard deviation rule.
(a) What proportion of the students scored at least 26 points on this test, rounded to five decimal places?
(b) What is the 23 percentile of the distribution of test scores, rounded to three decimal places?
Solutions
orchestra answered 1 year agoRelated Solutions
The marks on a statistics midterm test are normally distributed with a mean of 75 and...
The marks on a statistics midterm test are normally distributed
with a mean of 75 and a standard deviation of 6. What is the
probability that a sample of 50 exams has an average midterm test
mark that is less than 70?
a. Virtually 0
b. 0.2033
c. -5.89
d. 0.2776
e. Virtually 1
The marks on a statistics midterm test are normally distributed with a mean of 75 and...
The marks on a statistics midterm test are normally distributed
with a mean of 75 and a standard deviation of 6. What is the
probability that a sample of 25 exams has a sample mean between 71
and 73?
a. 0.45293
b. 0.04793
c. 0.0475
d. 0.0485
e. 0.04707
The marks on a statistics midterm test are normally distributed with a mean of 75 and...
The marks on a statistics midterm test are normally distributed
with a mean of 75 and a standard deviation of 6. What is the
probability that a sample of 50 exams has a sample mean between 74
and 75?
a. 0.3810
b. 0.1210
c. 0.4641
d. 0.3790
e. 0.1190
On a statistics test for a class of 40 students, the grades were normally distributed.The mean...
On a statistics test for a class of 40 students, the grades were
normally distributed.The mean grade was 74, and the standard
deviation was 8.
2. Janis scored 76 on this test.
A. What was her z-score for this grade
b. What percent of the class scored lower than Janis?
c. Approximately how many students in the class scored lower
than Janis?
3. The minumum passing grade on this test was 70. Approximately
how many students scored lower than 70...
Q1) In a test, the time taken to solve the questions is normally distributed with mean...
Q1) In a test, the time taken to solve the questions is normally
distributed with mean μ and standard deviation σ. It is found that
4% of the population take less than 5 minutes to get to solve
questions, and 70% take less than 25 minutes.
i. Find the values of mean and variance of time
distribution.
ii. Find the Interquartile range of time
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.
An instructor gives a 100-point test in which the grades are approximately normally distributed. The mean...
An instructor gives a 100-point test in which the grades are
approximately normally distributed. The mean is 65 points and the
standard deviation is 12 points.
a. What is the lowest possible score to qualify in the top 5% of
the scores?
b. If 500 students took the test, how many students received a
score between 60 and 80 points?
( I hope the solution to the questions can be provided as well
)
A set of final examination grades in an introductory statistics course is normally distributed, with a...
A set of final examination grades in an introductory statistics
course is normally distributed, with a mean of 7 and a standard
deviation of 9.
What is the probability that a student scored between 66 and
99?
The grades on an examination are normally distributed with mean of 400 and standard deviation of...
The grades on an examination are normally distributed with mean
of 400 and standard deviation of 40. If a sample 25 students is
randomly selected, what is the probability that the average score
of these 25 students is above 405?
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...
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