Katie is interested in the amount of time she needs to allot each morning to get coffee at Scooters. She finds on yelp that it has historically taken customers 5 minutes to receive their coffee. Wanting to determine whether the wait time is longer than yelp claims, Katie drives through Scooters off Cornhusker and 33rd street on her way to class at 7:30am for the next 20 days. She finds that the average amount of time to she waits to receive the coffee is
6.78
minutes, with a standard deviation of
3.5
minutes, and that the distribution is not strongly skewed. 1. Which is our observational unit? 2. Identify the following from the paragraph above.
x
-bar
=
S=
n=
3. State the null and alternative hypothesis (in symbols and words). 4. Calculate the standardized test statistic and state its distribution. 5. Make a decision about the null hypothesis. (Briefly explain why you made your decision.) 6. State the correct conclusion in context.