Answered: In 2019, the United States Department…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

In 2019, the United States Department of Education defined a "credit hour" as one hour per week of instruction, and two additional hours of work outside of class. So, for example, a 3 credit hour class should aim to have about 6 hours of outside-of-class work per week.Earlier this semester, I asked students how many hours they spent on the course outside of class time. A couple students provided helpful, but non-numeric, responses, so I omitted them from the data set. Below is a dotplot and summary statistics from the other responses:

a)suppose we want to view this data as a sample of students from sections of Math 104. Then:

xˉ=

b)List at least one concern you might have about using this sample to do inference on the number of study hours for all students taking Math 104.

c)Putting aside the concerns you raised in (b) the Professor is wondering if the sample demonstrates that the amount of work he assigns in the course is reasonable under the federal guidelines for a 3 credit hour course.What parameter is the Professor implicitly interested in?

Choice 1 of 3:The average amount of time spent per week on Math 104 homework for all students enrolled in the Professor's sections.

Choice 2 of 3:The average amount of time spent per week on Math 104 homework, for students in the sample.

Choice 3 of 3:The proportion of all students who spend more than 6 hours per week on homework for Math 104.

d)We would like to use a hypothesis test to determine if the workload for the course meets federal guidelines or not.For the null hypothesis, what value should the parameter μ from (c) be equal to?

For the alternative hypothesis, which should we use:

Choice 1 of 3:μ=μ0

Choice 2 of 3:μ>μ0

Choice 3 of 3:μ<μ0

e)Find the test statistic for this hypothesis test.

f)Find the P-value for this hypothesis test.

g)At the 0.05 significance level, what is the conclusion of our hypothesis test?

Choice 1 of 2:Reject the null hypothesis.

Choice 2 of 2:Fail to reject the null hypothesis.

h)Looking back on this problem, what conclusions can we make?

Choice 1 of 3:The amount of work assigned in this class meets the Federal guidelines for a 3 credit course.

Choice 2 of 3:The amount of work assigned in this class does not meet the Federal guidelines for a 3 credit course.