Question

In: Statistics and Probability

This exercise is to be solved using program R. Information about worms that inhabit various conditions...

This exercise is to be solved using program R.

Information about worms that inhabit various conditions was obtained (Worms.txt). Suppose that the mean of Worm.density is 5, then you want to conduct a statistical test. (H0: mu=5 vs H1: mu≠5)

  1. Find t statistics.
  2. Compare t statistics with t distribution table and conclude with a significant level of 5%.

Show the code and Rhistory.

Worms.txt
Field.Name Area Slope Vegetation Soil.pH Damp Worm.density
Nashs.Field 3.6 11 Grassland 4.1 F 4
Silwood.Bottom 5.1 2 Arable 5.2 F 7
Nursery.Field 2.8 3 Grassland 4.3 F 2
Rush.Meadow 2.4 5 Meadow 4.9 T 5
Gunness.Thicket 3.8 0 Scrub 4.2 F 6
Oak.Mead 3.1 2 Grassland 3.9 F 2
Church.Field 3.5 3 Grassland 4.2 F 3
Ashurst 2.1 0 Arable 4.8 F 4
The.Orchard 1.9 0 Orchard 5.7 F 9
Rookery.Slope 1.5 4 Grassland 5 T 7
Garden.Wood 2.9 10 Scrub 5.2 F 8
North.Gravel 3.3 1 Grassland 4.1 F 1
South.Gravel 3.7 2 Grassland 4 F 2
Observatory.Ridge 1.8 6 Grassland 3.8 F 0
Pond.Field 4.1 0 Meadow 5 T 6
Water.Meadow 3.9 0 Meadow 4.9 T 8
Cheapside 2.2 8 Scrub 4.7 T 4
Pound.Hill 4.4 2 Arable 4.5 F 5
Gravel.Pit 2.9 1 Grassland 3.5 F 1
Farm.Wood 0.8 10 Scrub 5.1 T 3

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