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MATH302 Test 8 | Questions and Answers Latest {} A+ Graded | 100% Verified
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MATH302 Test 8 | Questions and Answers Latest {} A+ Graded | 100% Verified
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MATH302 Test 8 | Questions and Answers Latest {2024- 2025} A+ Graded | 100% VerifiedThe 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? - 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. - 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? - 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 - 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. - 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? - Yes
Which of the following numbers are possible F Statistics? - postitive numbers!
5.41, 1.72
A large department store is curious what sections of the store make the most sales. The manager has
data from ten years prior that show 30% of sales come from Clothing, 25% Home Appliances, 18%
Houseware, 13% Cosmetics, 12% Jewelry, and 2% Other. In a random sample of 500 current sales, 176
came from Clothing, 150 Home Appliances, 75 Houseware, 42 Cosmetics, 51 Jewelry, and 6 Other. At
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