1. A study claims that all adults spend an average of 14 hours or more on chores during a weekend. A researcher wanted to check if this claim is true. A random sample of 200 adults taken by this researcher showed that these adults spend an average of 14.45 hours on chores during a weekend. The population standard deviation is known to be 3.0 hours.
   1. Find the p-value for the hypothesis test with the alternative hypothesis that all adults spend more than 14 hours on chores during a weekend. Interpret the meaning of p-value.
   2. Find the critical value at = 0.1 and the critical value at = 0.05. Interpret the meaning of .
   3. Will you reject the null hypothesis at = 0.1? What about at = 0.05? Use both p-value approach and critical value approach. What are your conclusions?