So I decide to go to Cinnaholic once day and I buy two cinnamon rolls. I notice that these cinnamon rolls do not appear to be the same size, so naturally I eat the smaller one first and then eat the bigger one. As I am sitting on my couch stuffed from those delicious rolls, I start to think, "I wonder if the location I go to make their cinnamon rolls to the size they claim them to be." Of course I have to go and purchase several rolls, weigh them (in ounces), and eat them. 30 pounds later, I have collected all of my data and tabulated it below:

Cinnamon Roll weight
6.3	5.6	5.7
6.5	6.3	5.9
6.1	6.1	6.2
5.9	6.1	6.3
6.8	5.9	6.3
6.7	5.8	6.4
6.9	6.0	6.1
6.3	6.0	5.8
6.9	6.1	5.9
6.5	6.3	6.1
6.1	6.3	6.0
5.8	6.3	6.0
5.9	6.4	5.9
6.0	5.8	6.3
6.1	5.7	6.4

1. Find the mean and standard deviation of the cinnamon roll weight (please do not do this by hand....)
2. Cinnaholic claims that their cinnamon rolls are made to weigh 6.1 ounces on average (the value 6.1 is our value)
   1. Compare what we see in our sample to what we Cinnaholic claims (use the means to compare these sets).
   2. Using the formula we learned in class during module 3, find the Z-value associated with our collected sample. We will use "s" as opposed to since we do not know what the population standard deviation is. Round your Z-value to 2 decimal places
   3. Find the area to the rightof Z using the Z-table. This will be the probability of seeing something like this or more extreme than this.
   4. Based on your area to the right, does this seem like something that is plausible to happen by random chance? Remember, it may not seem plausible if the area is smaller than 0.05
   5. Based on your answer in part d, is Cinnaholic claiming anything that seems far-fetched?