Problem 3. According to a recent study, Americans get an average of 7 hours of sleep per night. A random sample of 49 residents in Carrollton, GA has a mean of 6.8 hours sleep time per night. The sample standard deviation is 0.9 hours. Is it reasonable to conclude that residents in Carrollton have less sleep than the typical American?

MATLAB: An Introduction with Applications
6th Edition
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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a. Setup the appropriate null and alternative hypotheses.
b. Construct the relevant test statistic.
c. Test the hypotheses at the 0.01 significance level and state your conclusion.
Transcribed Image Text:a. Setup the appropriate null and alternative hypotheses. b. Construct the relevant test statistic. c. Test the hypotheses at the 0.01 significance level and state your conclusion.
Problem 3. According to a recent study, Americans get an average of 7 hours of sleep
per night. A random sample of 49 residents in Carrollton, GA has a mean of 6.8 hours
sleep time per night. The sample standard deviation is 0.9 hours. Is it reasonable to
conclude that residents in Carrollton have less sleep than the typical American?
Transcribed Image Text:Problem 3. According to a recent study, Americans get an average of 7 hours of sleep per night. A random sample of 49 residents in Carrollton, GA has a mean of 6.8 hours sleep time per night. The sample standard deviation is 0.9 hours. Is it reasonable to conclude that residents in Carrollton have less sleep than the typical American?
Expert Solution
Step 1

The question is about hypo. testing

Given :

Popl. avg. of sleep time per night ( μ ) = 7 hours

Randomly selected no. of residents ( n ) = 49

Sample mean of sleep time per night ( x¯ ) = 6.8 hours

Sample std. deviation sleep time per night ( s ) = 0.9 hours

Level of signif. ( α ) = 0.01

 

To test :

Is it reasonable to conclude that resident in "Carr." have less sleep than the typical people of "Ameri."

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