Statistic exam 2026-2027 with correct verified answers
A college prep school advertises that their students are more prepared to succeed in college
than other schools. To verify this, they categorize GPA's into 4 groups and look up the
proportion of students at a state college in each category. They find that 7% have a 0-0.99,
21% have a 1-1.99, 37% have a 2-2.99, and 35% have a 3-4.00 in GPA.
They then take a random sample of 200 of their graduates at the state college and find that 19
has a 0-0.99, 28 have a 1-1.99, 82 have a 2-2.99, and 71 have a 3-4.00.
Can they conclude that the grades of their graduates are distributed differently than the
general population at the school? Test at the 0.05 level of significance.
Hypotheses:
H0: There is between the general population and the college prep students in GPA.
H1: There is between the general population and the college prep students in GPA.
Select the best fit choices that fit in the two blank spaces above.
no difference, a difference
a difference, no difference
no difference, no difference
a difference, a difference
Question 2 point
Pamplona, Spain is the home of the festival of San Fermin – The
Running of the Bulls. The town is in festival mode for a week and
a half every year at the beginning of July. There is a running joke
in the city, that Pamplona has a baby boom every April – 9
months after San Fermin. To test this claim, a resident takes a
random sample of 300 birthdays from native residents and finds
the following observed counts:
, Statistic exam 2026-2027 with correct verified answers
January 25
February 25
March 27
April 26
May 21
June 26
July 22
August 27
September 21
October 26
November 28
December 26
At the 0.05 level of significance, can it be concluded that births in Pamplona are not
equally distributed throughout the 12 months of the year?
Enter the p-value - round to 4 decimal places. Make sure you put a 0 in front of the decimal.
P-value =
Answer: 0.9960
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A college professor is curious if the location of a seat in class
affects grades in the class. They are teaching in a lecture hall
with 240 students. The lecture hall has 10 rows, so they split the
rows into 5 sections – Rows 1-2, Rows 3-4, Rows 5-6, Rows 7-
8, and Rows 9-10. At the end of the course, they determine the
top 25% of grades in the class, and if the location of the seat
makes no difference, they would expect that these top 25% of
students would be equally dispersed throughout the classroom.
Their observations are recorded below.
Run a Goodness of Fit test to determine whether or not location
has an impact on the grade. Let α=0.05. After running a
Goodness of Fit test, does the professor have evidence to
A college prep school advertises that their students are more prepared to succeed in college
than other schools. To verify this, they categorize GPA's into 4 groups and look up the
proportion of students at a state college in each category. They find that 7% have a 0-0.99,
21% have a 1-1.99, 37% have a 2-2.99, and 35% have a 3-4.00 in GPA.
They then take a random sample of 200 of their graduates at the state college and find that 19
has a 0-0.99, 28 have a 1-1.99, 82 have a 2-2.99, and 71 have a 3-4.00.
Can they conclude that the grades of their graduates are distributed differently than the
general population at the school? Test at the 0.05 level of significance.
Hypotheses:
H0: There is between the general population and the college prep students in GPA.
H1: There is between the general population and the college prep students in GPA.
Select the best fit choices that fit in the two blank spaces above.
no difference, a difference
a difference, no difference
no difference, no difference
a difference, a difference
Question 2 point
Pamplona, Spain is the home of the festival of San Fermin – The
Running of the Bulls. The town is in festival mode for a week and
a half every year at the beginning of July. There is a running joke
in the city, that Pamplona has a baby boom every April – 9
months after San Fermin. To test this claim, a resident takes a
random sample of 300 birthdays from native residents and finds
the following observed counts:
, Statistic exam 2026-2027 with correct verified answers
January 25
February 25
March 27
April 26
May 21
June 26
July 22
August 27
September 21
October 26
November 28
December 26
At the 0.05 level of significance, can it be concluded that births in Pamplona are not
equally distributed throughout the 12 months of the year?
Enter the p-value - round to 4 decimal places. Make sure you put a 0 in front of the decimal.
P-value =
Answer: 0.9960
View Feedback
A college professor is curious if the location of a seat in class
affects grades in the class. They are teaching in a lecture hall
with 240 students. The lecture hall has 10 rows, so they split the
rows into 5 sections – Rows 1-2, Rows 3-4, Rows 5-6, Rows 7-
8, and Rows 9-10. At the end of the course, they determine the
top 25% of grades in the class, and if the location of the seat
makes no difference, they would expect that these top 25% of
students would be equally dispersed throughout the classroom.
Their observations are recorded below.
Run a Goodness of Fit test to determine whether or not location
has an impact on the grade. Let α=0.05. After running a
Goodness of Fit test, does the professor have evidence to
