A student commission wants to estimate the average amount of money spent by college students for textbooks in one semester. Suppose from past data they believe the population mean is $450 and the population standard deviation is $40. - If a random sample of 625 students is taken, what is the probability that the average amount of money spent on books will be greater $454? Answer in a complete sentence in context including the probability either as a decimal rounded to 4 places or a % rounded to 2 decimal places.  -  Is a sample resulting in a mean value $454 an unusually high amount of money for a sample of 625 students to spend on books? Answer in a complete sentence in context including what about the probability led you to this decision. -Based on this sample result of $454 spent by the sampled 625 students and your determination if this was unusual or not, what might you conclude about the student commission’s belief that all students spend $450 on average for books in one semester? Write your conclusion in a complete sentence in context (i.e. state what can be concluded based on this usual or unusual sample result?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
icon
Related questions
Question

A student commission wants to estimate the average amount of money spent by college students for textbooks in one semester. Suppose from past data they believe the population mean is $450 and the population standard deviation is $40.

- If a random sample of 625 students is taken, what is the probability that the average amount of money spent on books will be greater $454? Answer in a complete sentence in context including the probability either as a decimal rounded to 4 places or a % rounded to 2 decimal places. 

-  Is a sample resulting in a mean value $454 an unusually high amount of money for a sample of 625 students to spend on books? Answer in a complete sentence in context including what about the probability led you to this decision.

-Based on this sample result of $454 spent by the sampled 625 students and your determination if this was unusual or not, what might you conclude about the student commission’s belief that all students spend $450 on average for books in one semester? Write your conclusion in a complete sentence in context (i.e. state what can be concluded based on this usual or unusual sample result?)

 

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 6 images

Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning