Question

8.Find the p-value given the following information:

Ho:  ?1 = ?2 = ?3

N = 28

F = 27.07

11.The sample data below are the index of exposure to radioactive waste for nine different

Oregon counties and the cancer mortality rate (deaths per 100,000).

Index of Exposure, x	Cancer Mortality Rate, y
5.63	145.9
2.57	130.1
3.41	166.9
1.25	113.5
1.62	137.5
3.83	162.3
11.64	207.5
6.41	121.8
8.34	210.3

16. Find the right critical value for the F-distribution when ? = .05 and DFN = 10 and DFD = 6

20. A grass seed company conducts a study to determine the relationship between

the density of seeds planted (in pounds per 500 sq ft) and the quality of the resulting lawn.

Eight similar plots of land are selected and each is planted with a particular density of seed.
One month later the quality of each lawn is rated on a scale of 0 to 100.

The sample data are given below.

Seed Density, x	Lawn Quality, y
1	30
1	40
2	40
3	40
3	50
3	65
4	50
5	50

Answer 1

N = total number of sampling units = 28

k = number of groups = 3

numerator degrees of freedom = k - 1 = 3 - 1 = 2

denominator degrees of freedom = N - k = 28 - 3 = 25

F test statistic value = 27.07

p -value = P( F > 27.07)

let's use excel:

P(F > 27.07) = " =FDIST(27.07,2,25)" = 0.000000555 this is the p-value.

16)  16. Find the right critical value for the F-distribution when ? = .05 and DFN = 10 and DFD = 6

Let's use excel

F_c = "=FINV(0.05,10,6)" = 4.06