Question
In: Statistics and Probability
Suppose the mean grade for a statistics midterm exam was 75, with a standard deviation of...
Suppose the mean grade for a statistics midterm exam was 75, with a standard deviation of 10. Assume that your grades were normally distributed.
a. What percentage of students received at least an 90?
e. If 2 students failed the exam, i.e. their grades were less than 60, how many students took the test? Hint: First focus on p(x<60).
Solutions
orchestra answered 2 years agoRelated Solutions
A) Suppose that the mean and standard deviation of the scores on a statistics exam are...
A) Suppose that the mean and standard deviation of the scores on
a statistics exam are 89.2 and 6.49, respectively, and are
approximately normally distributed. Calculate the proportion of
scores below 77.
1)
0.0301
2)
0.9699
3)
We do not have enough information to calculate the value.
4)
0.2146
5)
0.7854
B)
When students use the bus from their dorms, they have an average
commute time of 8.974 minutes with standard deviation 3.1959
minutes. Approximately 66.9% of students reported a...
PART I Suppose that the mean and standard deviation of the scores on a statistics exam...
PART I
Suppose that the mean and standard deviation of the scores on a
statistics exam are 78 and 6.11, respectively, and are
approximately normally distributed. Calculate the proportion of
scores above 74.
1)
0.8080
2)
0.1920
3)
0.2563
4)
We do not have enough information to calculate the value.
5)
0.7437
PART II
When students use the bus from their dorms, they have an average
commute time of 9.969 minutes with standard deviation 3.9103
minutes. Approximately 27.23% of students...
for a final exam in statistics , the mean of the exam scores is u= 75...
for
a final exam in statistics , the mean of the exam scores is u= 75
with a standard deviation of o=8. what sample mean marks the top
10% of this distribution for a samples of n= 25
b) what sample means mark the boundaries of the middle 50% for
samples of n= 50
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
...Statistics students believe the mean grade on the first exam is 65. A statistics instructor thinks...
...Statistics students believe the mean grade on the first exam
is 65. A statistics instructor thinks the mean grade is higher than
65. He samples ten statistics students and finds their mean grade
is 67 with a standard deviation of 3.1972 for the sample. Use the
Traditional Method and α = 0.05 to test the instructor’s claim. The
data are assumed to be from a normal distribution. ...
State the information given:
State the claim in words:
State the claim...
You were told that the mean score on a statistics exam is 75 with the scores...
You were told that the mean score on a statistics exam is 75
with the scores normally distributed. In addition, you know the
probability of a score between 55 and 60 is 4.41% and that the
probability of a score greater than 90 is 6.68%. What is the
probability of a score between 55 and 95?
Suppose that prices of women’s athletic shoes have a mean of $75 and a standard deviation...
Suppose that prices of women’s athletic shoes have a mean of $75
and a standard deviation of $17.89. What is the probability that
the mean price of a random sample of 50 pairs of women’s athletic
shoes will differ from the population mean by less than $5.00?
In order to estimate the number of calls to expect at a new
suicide hotline, volunteers contact a random sample of 40 similar
hotlines across the nation and find that the sample mean...
The semester average grade for a statistics course is 76 with a standard deviation of 5.5....
The semester average grade for a statistics course is 76 with a
standard deviation of 5.5. Assume that stats grades have a
bell-shaped distribution and use the empirical rule to answer the
following questions (explain your responses with the help of a
graph):
1. What is the probability of a student’s stat grade being
greater than 87?
2. What percentage of students has stat grades between 70.5 and
81.5?
3. What percentage of students has stat grades between 70.5 and...
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