1|Page | © copyright 2024/2025 | Grade A+
MATH302 Questions and Correct
Answers (100% Pass)
The number of degrees of freedom for a test of independence is equal to:
✓ the sample size minus one
The F Statistic from an experiment with k = 4 and n = 100 is 4.72. At α = 0.01,
will you reject the null hypothesis?
✓ yes
Students at a high school are asked to evaluate their experience in the class
at the end of each school year. The courses are evaluated on a 1-4 scale -
with 4 being the best experience possible. In the History Department, the
courses typically are evaluated at 10% 1's, 15% 2's, 34% 3's, and 41% 4's. Mr.
Goodman sets a goal to outscore these numbers. At the end of the year he
takes a random sample of his evaluations and finds 11 1's, 14 2's, 47 3's, and
53 4's. At the 0.05 level of significance, can Mr. Goodman claim that his
evaluations are significantly different than the History Department's?
Master01 | November, 2024/2025 | Latest update
, 1|Page | © copyright 2024/2025 | Grade A+
✓ Hypotheses:
✓ H0: There is no difference in Mr. Goodman's evaluations and the History
Department's.
✓ H1: There is a difference in Mr. Goodman's evaluations and the History
Department's.
✓ Enter the test statistic - round to 4 decimal places. 1.9196
✓ Enter the p-value - round to 4 decimal places. 0.5893
✓ Can it be concluded that there is a statistically significant difference in
Mr. Goodman's evaluations and the History Department's?
✓ No
A college professor is curious if location of seat in class affects grade in the
class. They are teaching in a lecture hall to 200 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 location of 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
grade. Let α=0.05.
Master01 | November, 2024/2025 | Latest update
MATH302 Questions and Correct
Answers (100% Pass)
The number of degrees of freedom for a test of independence is equal to:
✓ the sample size minus one
The F Statistic from an experiment with k = 4 and n = 100 is 4.72. At α = 0.01,
will you reject the null hypothesis?
✓ yes
Students at a high school are asked to evaluate their experience in the class
at the end of each school year. The courses are evaluated on a 1-4 scale -
with 4 being the best experience possible. In the History Department, the
courses typically are evaluated at 10% 1's, 15% 2's, 34% 3's, and 41% 4's. Mr.
Goodman sets a goal to outscore these numbers. At the end of the year he
takes a random sample of his evaluations and finds 11 1's, 14 2's, 47 3's, and
53 4's. At the 0.05 level of significance, can Mr. Goodman claim that his
evaluations are significantly different than the History Department's?
Master01 | November, 2024/2025 | Latest update
, 1|Page | © copyright 2024/2025 | Grade A+
✓ Hypotheses:
✓ H0: There is no difference in Mr. Goodman's evaluations and the History
Department's.
✓ H1: There is a difference in Mr. Goodman's evaluations and the History
Department's.
✓ Enter the test statistic - round to 4 decimal places. 1.9196
✓ Enter the p-value - round to 4 decimal places. 0.5893
✓ Can it be concluded that there is a statistically significant difference in
Mr. Goodman's evaluations and the History Department's?
✓ No
A college professor is curious if location of seat in class affects grade in the
class. They are teaching in a lecture hall to 200 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 location of 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
grade. Let α=0.05.
Master01 | November, 2024/2025 | Latest update
