to each cow and the total milk in the third week of each period was recorded. The experiment lasted in 18 months. The researcher felt that time period might influence milk yields. Hence, the experiment were recorded on was designed by two-way blocking i.e. cows and time period, and the data each treatment and the following missing ANOVA was recorded. P- sov Df MS F-ratio value Cow 16.56 0.72 0.616 Time Period 5 558.89 24.33 0.000 Treatment 5 * 295.944 * 0.000 Error 4.594 Total 538.96 Grand Mean 55.389 i. Complete all the missing entries (*) in the ANOVA Write all possible hypotheses (both null and alternative) for the given problem. Draw conclusions at 5% level of probability regarding the Cows, Time Period and treatment effects. ii. ii. 1
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
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