On average 5 gallons of beer can be made from 200 grams of hops. A particular brewery sells beer by the quart (A quart is a quarter of a gallon). I buy 7 quarts of beer and receive beer with 13,12,8,10,11,12,8 grams of hops in each quart respectively. I suspect I received a normal batch of beer.

a. states the null and alternative hypotheses.

b. calculate the sample mean and standard deviation.

c. find the t-statistic.

d. find the critical value for t

e. find cohen's d.

f. find the proportion of variance explained.

g. write a conclusion sentence which includes all of the appropriate elements (assume alpha is .05)