6) A music industry professional claims that the average amount of money that an average teenager spends per month on music is at least $50. Based upon previous research, the population standard deviation is estimated to be $12.42, The music professional surveys 20 students and finds that the mean spending is $47.77. Is there evidence that the average amount spent by students is less than $50?

6) A music industry professional claims that the average amount of money that an average teenager spends per month on music is at least $50. Based upon previous research, the population standard deviation is estimated to be $12.42, The music professional surveys 20 students and finds that the mean spending is $47.77. Is there evidence that the average amount spent by students is less than $50?

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section: Chapter Questions

Problem 22SGR

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Question

something other than 14 minutes? Use a =0.01.
C 5ん
6) A music industry professional claims that the average amount of money that an
average teenager spends per month on music is at least $50. Based upon previous
research, the population standard deviation is estimated to be $12.42, The music
professional surveys 20 students and finds that the mean spending is $47.77. Is there
evidence that the average amount spent by students is less than $50?

Expert Solution

Step 1

Given that

Hypothesized Population Mean $(\mu)$ =	$50$
Population Standard Deviation $(\sigma)$ =	$12.42$
Sample Size $(n)$ =	$20$
Sample Mean $(\bar X)$ =	$47.77$
Significance Level $(\alpha)$	$0.05$