Researchers want to test the response of playing music while cows are being milked to see if they are "moo-ved" to produce more milk. The researchers record the amount of milk produced by 21 cows over a two week period where one week has no music played and the second week has a slower tempo song playing. The researchers wish to know if playing the slower tempo music may cause the cows to produce more milk. The data set used for this problem is called "Moo-sic and Milk" with the amount of milk in gallons, rounded to the nearest gallon, produced by each cow over both weeks.Assume all conditions hold and use a significance level of 0.10 when you test the hypothesis.

a)Define the population parameter in context in one sentence.

b)State the null and alternative hypotheses using correct notation.

c)Calculate the test statistic.Please work "by hand" using the formula and showing your work. Use the values you obtained.

Moo-sic and Milk (DA 4 Problem 3) 1 StatCrunch Applets - Edit Data - Stat . Graph Help Row With Music Without Music (w/Music-w/o 1 var4 var5 var6 var7 49 44 5 50 42 8 W N 49 40 9 49 44 U 46 41 5 44 39 49 47 46 50 43 43 45 43 J U O N a N O A N U 44 50 46 44 13 47 38 14 44 49 Options * X 15 47 40 16 46 46 0 Summary statistics: 17 48 53 -5 Std. dev. 44 48 Column Mean 18 -4 19 52 57 -5 w/-w/o 1.5714286 5.0355876 20 49 44 5 21 45 47 -2 22 23 24