Charles Turk son, production manager of Guinea Fow unlimited (GFU), has been conducting a study to determine if a new feeding process produces a significant increase in mean weight of guinea fowls produced in the facilitiesof Guinea Fowl Unlimited (GFU). In the process sheobtains a random set of matched Guinea fowl chicks hatched from the same guinea hen.One group of chicks from the hens fed using the old feeding method and the second group of chicks is from the same hens fed using the new method. The weights for each of the turkeys andthe differences between the matched pairs are shownin the Table below. Perform the necessary analysisto determine if the new feeding process produces a significant (n = 0.05) increasein the weight of the guinea fowls. Assume theobservations are normally distributed.

 

HEN	OLD	NEW
1	17.76	18.15
2	18.66	19.92
3	21.84	23.60
4	16.64	17.96
5	17.37	16.25
6	16.75	17.50
7	18.01	20.79
8	22.00	22.89
9	17.68	20.25
10	18.23	20.95
11	20.63	22.76
12	20.03	20.64
13	15.90	14.67
14	15.89	16.15
15	18.53	22.56
16	13.92	15.46
17	18.60	16.33
18	20.09	21.03
19	18.04	18.51
20	19.87	22.32
21	19.00	24.53
22	18.59	21.15
23	21.02	26.36
24	15.62	18.56
25	15.41	14.02

i. State the appropriate hypothesis about this preamble?

ii. What is the critical value of the test statistic?

iii. Compute the test statistic

iv. What is the p-value?

v. Decide and conclude practically using the critical and p-value approach. Did the new feeding process produces a significant (? =0.05) increase in the weight of the guinea fowls? Justify numerically.

Note: Please use the Difference in the two datasets and the standard deviation of the differences approach