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?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.7: Probability
Problem 1SE: What term is used to express the likelihood of an event occurring? Are there restrictions on its...
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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?
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