You are working at a sandwich shop and recently became the owner. You want to make sure that the company you are buying bread from is sending the appropriate number of bread rolls that you build your sandwiches with. The concern you have is that if you are receiving too few you are not getting bread that you need for sandwiches but too much and it will spoil. In looking at the company's website they state that bags of bread rolls on average have 50 rolls and, through some digging on your own by calling the suppliers, you figure out that the standard deviation is 5. You grab 7 unopened bread roll bags that came in on the latest shipment. You are to find out if there are any concerns with regard to the number of rolls you are getting (significance of .05). See below for a table that displays the number of rolls in each bag.

Total for each bag: 36, 41, 41, 42, 47, 53, 57

What is the null and alternative hypothesis?

If you run the calculations, what do you find out? Make sure to show your work. Did you reject the null and if so/not, why?

Use the numbers provided in the example (regardless of what you have determined up until this point for this question [i.e., regardless of previous answers]). Calculate Cohen's d and provide an interpretation (if it is less than "small" based upon your calculation say this and describe why you got that/what this might mean for statistical significance).