Question
In: Statistics and Probability
Each year about 1500 students take the introductory statistics course at a large university. This year...
Each year about 1500 students take the introductory statistics course at a large university. This year scores on the final exam are distributed with a median of 74 points, a mean of 70 points, and a standard deviation of 10 points. There are no students who scored above 100 (the maximum score attainable on the final) but a few students scored below 20 points. a.Is the distribution of scores on this final exam symmetric, right skewed, or left skewed? b.Would you expect most students to have scored above or below 70 points? c.What is the probability that the average score for a random sample of 40 students is above 75? (please round to four decimal places) Additionally, can this question be answered using excel or statcrunch?
Solutions
orchestra answered 1 year agoRelated Solutions
Students enrolled in an introductory statistics course at a university were asked to take a survey...
Students enrolled in an introductory statistics course at a
university were asked to take a survey that indicated whether the
student’s learning style was more visual or verbal. Each student
received a numerical score ranging from -11 to +11. Negative scores
indicated a visual learner, and positive scores indicated a verbal
learner. The closer the score was to -11 or +11, the stronger the
student’s inclination toward that learning style. A score of 0
would indicate neutrality between visual or...
Students enrolled in an introductory statistics course at a university were asked to take a survey...
Students enrolled in an introductory statistics course at a
university were asked to take a survey that indicated whether the
student’s learning style was more visual or verbal. Each student
received a numerical score ranging from -11 to +11. Negative scores
indicated a visual learner, and positive scores indicated a verbal
learner. The closer the score was to -11 or +11, the stronger the
student’s inclination toward that learning style. A score of 0
would indicate neutrality between visual or...
Students enrolled in an introductory statistics course at a university were asked to take a survey...
Students enrolled in an introductory statistics course at a
university were asked to take a survey that indicated whether the
student’s learning style was more visual or verbal. Each student
received a numerical score ranging from -11 to +11. Negative scores
indicated a visual learner, and positive scores indicated a verbal
learner. The closer the score was to -11 or +11, the stronger the
student’s inclination toward that learning style. A score of 0
would indicate neutrality between visual or...
A student survey was completed by 446 students in introductory statistics courses at a large university...
A student survey was completed by 446 students in introductory
statistics courses at a large university in the fall of 2003.
Students were asked to pick their favorite color from black, blue,
green, orange, pink, purple, red, yellow.
(a) If colors were equally popular, what proportion of students
would choose each color? (Round your answer to three decimal
places.)
(b) We might well suspect that the color yellow will be
less popular than others. Using software to access the
survey...
A statistics professor at a large university hypothesizes that students who take statistics in the morning...
A statistics professor at a large university hypothesizes that
students who take statistics in the morning typically do better
than those who take it in the afternoon. He takes a random sample
of 36 students who took a morning class and, independently, another
random sample of 36 students who took an afternoon class. He finds
that the morning group scored an average of 72 with a standard
deviation of 8, while the evening group scored an average of 68
with...
A university found that 20% of its students withdraw without completing the introductory statistics course. Assume...
A university found that 20% of its students withdraw without
completing the introductory statistics course. Assume that 20
students registered for the course.
If required, round your answers to four decimal places.
a. Compute the probability that 2 or fewer will
withdraw.
b. Compute the probability that exactly 4 will
withdraw.
c. Compute the probability that more than 3
will withdraw.
d. Compute the expected number of
withdrawals.
The introductory biology class at a large university is taught to hundreds of students each semester....
The introductory biology class at a large university is taught
to hundreds of students each semester. For planning purposes, the
instructor wants to find out the average amount of time that
students would use to take the first quiz if they could have as
long as necessary to take it. She takes a random sample of 100
students from this population and finds that their average time for
taking the quiz is 20 minutes, and the standard deviation is 10...
In a large class of introductory Statistics students, the professor has each person toss a coin...
In a large class of introductory Statistics students, the
professor has each person toss a coin 29 times and calculate the
proportion of his or her tosses that were heads. Complete parts a
through d below.
The Independence Assumption (is or is not) )_____satisfied
because the sample proportions (are or are not)_____independent of
each other since one sample proportion (can affect or does not
affect)______another sample proportion. TheSuccess/Failure
Condition is not satisfied because np=____ and nq=____which are
both (less than...
COIN TOSSES In a large class of introductory Statistics students, the professor has each student toss...
COIN
TOSSES In a large class of introductory Statistics
students, the professor has each student toss a coin 16 times and
calculate the proportion of his or her tosses that were heads. The
students then report their results, and the professor plots a
histogram of these several proportions.
What shape would you
expect this histogram to be? Why?
Where do you expect
the histogram to be centred?
How much variability
would you expect among these proportions?
Explain why a Normal...
A University found that 27% of its graduates have taken an introductory statistics course. Assume that...
A University found
that 27% of its graduates have taken an introductory statistics
course. Assume that a group of 15 graduates have been selected.
Compute the probability that from this group, there are exactly
2 graduates that have taken an introductory statistics course.
Compute the probability that from this group, there are at most
3 graduates that have taken an introductory statistics course.
Compute the probability that from this group, there are at
least 4 graduates that have taken an...
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