I randomly sample 85 graduated college students in thecountry, andfind that it took these 85 students an average (mean) of 6.5 years to graduate college.My sample had a standard deviation of 3.5 years and was not strongly skewed.I read online that it takes an average of 4 years to graduate college with a standard deviation of 2.8 years.Use this sample to testwhether or nota population average of 4 years is plausible.

Write theappropriate nulland alternative hypotheses in words and in symbols

Explain why we CAN use a theory-based approach for this example.

Use theappropriate formulato find the standard error of the distribution of sample statistics.Make sure it issimilar tothe one you got in the applet!

Calculate the value of the standardizedstatistic, andgive the correct symbol for the standardized statistic.Show your work.