MATH302 UPDATED ACTUAL Questions and CORRECT Answers
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Course
MATH302
Institution
MATH302
MATH302 UPDATED ACTUAL Questions
and CORRECT Answers
The number of degrees of freedom for a test of independence is equal to: - CORRECT
ANSWER- 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? - C...
MATH302 UPDATED ACTUAL Questions
and CORRECT Answers
The number of degrees of freedom for a test of independence is equal to: - CORRECT
ANSWER- ✔✔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? - CORRECT ANSWER- ✔✔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? - CORRECT ANSWER-
✔✔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. - CORRECT
ANSWER- ✔✔Expected counts: all are 10!
After running a Goodness of Fit test, does the professor have evidence to conclude that
location in the classroom has an impact on final grade?NO
, If the number of degrees of freedom for a chi-square distribution is 25, what is the population
mean and standard deviation? - CORRECT ANSWER- ✔✔mean=25
and
standard deviation=7.0711
A local gym is looking in to purchasing more exercise equipment and runs a survey to find
out the preference in exercise equipment amongst their members. They categorize the
members based on how frequently they use the gym each month - the results are below. Run
an independence test at the 0.10 level of significance - CORRECT ANSWER-
✔✔Hypotheses:
Preference in exercise equipment is independent of gym usage.
Preference in exercise equipment is dependent on gym usage.
Enter the test statistic - round to 4 decimal places. 25.4831
Enter the P-Value - round to 4 decimal places. 0.0003
Can it be concluded that preference in exercise equipment is dependent on gym usage?
Yes
The medal count for the 2018 winter Olympics is recorded below. Run an independence test
to find out if the medal won is dependent on country. Use α=0.10. - CORRECT ANSWER-
✔✔Hypotheses:
Medal won is independent of country.
Medal won is dependent on country.
Enter the test statistic - round to 4 decimal places. 1.5783
Enter the P-Value - round to 4 decimal places. 0.9541
Can it be concluded that medal won is dependent on country? No
The F Statistic from an experiment with k = 3 and n = 50 is 3.67. At α = 0.05, will you reject
the null hypothesis? - CORRECT ANSWER- ✔✔Yes
Which of the following numbers are possible F Statistics? - CORRECT ANSWER-
✔✔postitive numbers!
5.41, 1.72
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