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MATH302 Exam Practice Questions and Answers The number of degrees of freedom for a test of independence is equal to: - 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? - ANSWER-yes Students a...

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  • November 4, 2024
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  • 2024/2025
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Copyright © KAYLIN 2024/2025 ACADEMIC YEAR. ALL RIGHTS RESERVED FIRST PUBLISH NOVEMBER, 2024




MATH302 Exam Practice Questions and

Answers


The number of degrees of freedom for a test of independence is equal to: - 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? - 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? - 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




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, Copyright © KAYLIN 2024/2025 ACADEMIC YEAR. ALL RIGHTS RESERVED FIRST PUBLISH NOVEMBER, 2024




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. -

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? - 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

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