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MATH302 QUESTIONS AND CORRECT DETAILED ANSWERS

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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? 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, 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 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. 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

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Written in
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Terms in this set (19) Original




The number of degrees the sample size minus one
of freedom for a test of
independence is equal
to:



The F Statistic from an yes
experiment with k = 4
and n = 100 is 4.72. At
α = 0.01, will you reject
the null hypothesis?



Students at a high Hypotheses:
school are asked to H0: There is no difference in Mr. Goodman's
evaluate their evaluations and the History Department's.
experience in the class H1: There is a difference in Mr. Goodman's
at the end of each evaluations and the History Department's.
school year. The Enter the test statistic - round to 4 decimal
courses are evaluated places. 1.9196
on a 1-4 scale - with 4 Enter the p-value - round to 4 decimal places.
being the best 0.5893
experience possible. In Can it be concluded that there is a statistically
the History Department, significant difference in Mr. Goodman's
the courses typically evaluations and the History Department's?
are evaluated at 10% No
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?



A college professor is Expected counts: all are 10!
curious if location of After running a Goodness of Fit test, does the
seat in class affects professor have evidence to conclude that
grade in the class. location in the classroom has an impact on final
They are teaching in a grade?NO
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.



If the number of mean=25
degrees of freedom for and
a chi-square standard deviation=7.0711
distribution is 25, what
is the population mean
and standard
deviation?



A local gym is looking Hypotheses:
in to purchasing more Preference in exercise equipment is
exercise equipment independent of gym usage.
and runs a survey to Preference in exercise equipment is dependent
find out the preference on gym usage.
in exercise equipment Enter the test statistic - round to 4 decimal
amongst their places. 25.4831
members. They Enter the P-Value - round to 4 decimal places.
categorize the 0.0003
members based on Can it be concluded that preference in exercise
how frequently they use equipment is dependent on gym usage?
the gym each month - Yes
the results are below.
Run an independence
test at the 0.10 level of
significance



The medal count for the Hypotheses:
2018 winter Olympics is Medal won is independent of country.
recorded below. Run an Medal won is dependent on country.
independence test to Enter the test statistic - round to 4 decimal
find out if the medal places. 1.5783
won is dependent on Enter the P-Value - round to 4 decimal places.
country. Use α=0.10. 0.9541
Can it be concluded that medal won is
dependent on country? No
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