Project #15836 - Statistics

 

1.      A new strain of nitrogen fixing, root nodule bacteria (genus Rhizobium) was produced by microbial genetic engineers at UNT.  An experiment was designed to test whether or not the new strain could fix nitrogen at more rapid rates than controls.  The following data were collected (ng nitrogen fixed / mg bacteria / hour) under identical conditions in the laboratory.

 

 

 

Controls   7.8   7.9   8.0   8.4   8.6   8.8   9.0   9.2   9.8   10.4   11.4   11.8

Strain X-7    8.2   8.6   9.8   10.4   10.8   12.4   12.5   12.8

 

a)      Determine the indicated descriptive statistics for each group.

Table II – 34.  Descriptive statistics for nitrogen fixation rates of control and experimental strains of bacteria.

 

N

Mean

SS

SD

S2

Control

Strain X – 7

12

8

 

 

 

 

 

 

 

 

Please state appropriate null and alternate hypothesis for each analysis. (2 pts)

 

Now, we need to test whether the assumptions are satisfied:

 

b)         Using R code to determine whether samples from control and Strain X-7 follow normal distributions.

 

      

 C)           Hand calculation to determine if the variances are significantly different (α = 0.05).

 

d)         Based on the tests in (c) and (d), choose an appropriate test to determine whether the mean fixation rates of control and Strain X-7 are different at α =0.05.

 

e)         Construct a confidence interval of the difference of the two mean rates.

 

f)          Determine if mean fixation rates of strain X-7 was at least 1 unit greater than controls at α =0.05.

 

g)         Provide a R code and output for (c) and (d) and find out the p-values from your output.

 

 

 

 

Subject Mathematics
Due By (Pacific Time) 10/31/2013 11:00 pm
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