A study claims that all homeowners in a town spend an average of 8 hours ormore on house cleaning and gardening during a weekend. A researcherwanted to check if this claim is true. A random sample of...

A study claims that all homeowners in a town spend an average of 8 hours ormore on house cleaning and gardening during a weekend. A researcherwanted to check if this claim is true. A random sample of 20 homeownerstaken by this researcher showed that they spend an average of 7.68 hours onsuch chores during a weekend. The population of such times for allhomeowners in this town is normally distributed with the population standarddeviation of 2.1 hours. Using the 1% significance level, can you conclude thatthe claim that all homeowners spend an average of 8 hours or more on suchchores during a weekend is false? [10 marks]