Comparing the Density of Skimmed and Homogenised Milk

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Comparing the Density of Skimmed and Homogenised Milk

Results

Skimmed Milk

Homogenised Milk

        

Analysis

The mean results were; 20.01 seconds for skimmed milk, and 21.69 seconds for homogenised milk. This indicates that skimmed milk may have a higher density than that of homogenised milk, as it falls faster through the copper(II) sulphate solution. To attempt to verify this, I will find the standard deviation of both sets of results. This will make it more certain to establish whether or not the densities are significantly different.

Standard Deviation

Skimmed milk

√Σ(x – x)2

     N - 1

√30.73

     4

= 2.77 (2 d.p.)

Homogenised milk

√Σ(x – x)2

     N – 1

√5.43

     4

= 1.17 (2 d.p.)

Now that the standard deviation has been calculated for both types of milk. I can see that the difference is significant enough to suggest that Skimmed milk does indeed have a higher density than Homogenised milk. In order to further substantiate this claim I will process the results again, using a method known as the ‘T-test’.

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T-Test

   T = [xA – xB]

SDA2 + SDB2

     n          n

  T = [20.01 – 21.69]

   √2.772 + 1.172

       5          5

    T = -1.68

 √1.53 + 0.27

  T = -1.68

           1.8

   T = 0.93

Now, using degrees of freedom in relation to my results from the T test, I will calculate whether or not the difference between the two ...

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