Answered: What is the meaning of this Probability…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section: Chapter Questions

Problem 8SGR

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Question

The parent association at a local high school believes that the amount of time spent on homework by students at the school, on average, is more than the schools policy of an average of 30 minutes of homework per class. To test this claim, the administrators took a random sample of 50 students, calculated the amount of time each student spent on homework per class, and tested the hypotheses:

ho u=30

ho u>30

The mean minutes spent per class of the students in the sample was 34.7 minutes and the sample standard deviation was 10.4 minutes. When the administrators performed a significance test and obtained a Probability Value of 0.0015. What is the meaning of this Probability Value in context?

Having a sample mean time spent by students on homework per class of 34.7 minutes in a random sample of 50 students, there is a probability of 0.0015 that the true mean is more than 30 minutes.

Assuming the mean time spent by students on homework per class is more than 30 minutes, there is a probability of 0.0015 of getting a sample mean of 34.7 minutes or more by chance alone in a random sample of 50 students.

Assuming the mean time spent by students on homework per class is 30 minutes, there is a probability of 0.0015 of getting a sample mean of 34.7 minutes or more by chance alone in a random sample of 50 students.

Having a sample mean time spent by students on homework per class of 34.7 minutes in a random sample of 50 students, there is a probability of 0.0015 that the true mean is 30 minutes

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