Assume that widgets are produced with a normal distribution.
You have two machines that produce widgets for your company.
The machines that produce widgets assume they different standard deviation.
It is believed that wdigets from machine 1 have a mean greater than that of wdigets from machine 2

Don't assume the variances are equal. Assume they are unequal.

Sample wdigets from machine 1 (data points separated by commas):
53.02    ,    50.69    ,    51.31    ,    53.46    ,   
55.44    ,    51.23    ,    51.43    ,    54.05

Sample wdigets from machine 2 (data points separated by commas):
52.24    ,    49.77    ,    48.61    ,    50.87    ,   
47.32    ,    48.8    ,    50.9    ,    47.76    ,   
47.82    ,    45.69    ,    49.03    ,    48.29    ,   
46.96    ,    49.69    ,    55.04    ,    52.91    ,   
52.99    ,    46.75

Test your hypothesis at the 0.05 level.

Download the required data here.

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