(8 points) According to a Pew Research Center report from 2012, the average commute time to work in California is 27.5 minutes. To investigate whether a different average is true for the small city that she lives in, a California high school student surveys 45 people she knows - her teachers, her parents and their friends and co-workers - and finds the average commute time for this sample to be 24.33 minutes, with a standard deviation of 9.53 minutes. The data were not strongly skewed.

a) (1 point) Identify the cases for this study.

b) (1 point) Identify the variable of interest and state whether it is categorical or quantitative.

c) (1 point) Identify the parameter we are interested in.

d) (1 point) Identify the correct symbol for each of the given values in the problem (you may write the name of the parameter if you can't find the symbol in your word processor - for example, you can write "mu" instead of ) 27.5: _________ 45: ___________ 24.33: _________ 9.53: __________

e) (2 points) Use theory to find a 95% confidence interval for the parameter. Show all your work. Remember to check your validity condition(s). Remember to include a screenshot of the tdistribution.

f) (2 points) Interpret the interval from part (e) in context by writing a complete sentence.