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In: Statistics and Probability

P-value calculations. 1. A) Use a t-test of comparative pairs to determine whether there is a...

P-value calculations.

1. A) Use a t-test of comparative pairs to determine whether there is a statistically significant difference in the number of rat discoveries observed before and after a major disposal operation in nine areas. Calculate p-value.

Area

Rat discovery before

Rat discovery after

Area 1

35

23

Area 2

51

55

Area 3

78

60

Area 4

24

20

Area 5

19

22

Area 6

33

31

Area 7

90

78

Area 8

26

23

Area 9

43

38

1. B) The effect of the new oat variety on yield was studied by comparing yields with the old commonly cultivated variety. Varieties were randomized into 20 separate plots and yields (kg / ha) were measured:

New Variety: 4134, 4202, 4365, 4202, 4156, 4322, 4208, 4389, 4423, 4211.
Old variety: 3973, 4188, 4191, 3995, 4222, 3972, 3919, 4177, 4282, 3985.

Use the t-test of independent samples to determine whether the mean yields of the new and old varieties differ statistically significantly. Calculate the p-value.

1. C) Use the Levene test to determine whether the standard deviations of the yields of the new and old varieties differ statistically significantly in Question 1b. Calculate the p-value.

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