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

Assume the variances are equal.

Sample from wdigets from machine 1 (data points separated by commas):
47.76    ,    47.29    ,    47.31    ,    45.93    ,   
48.68    ,    48.18    ,    47.19    ,    50.79    ,   
45.15    ,    43.37    ,    47.12    ,    44.2    ,   
50.01    ,    44.92    ,    43.88
Sample From wdigets from machine 2 (data points separated by commas):
48.84    ,    49.37    ,    49.72    ,    48.94    ,   
46.44    ,    47.65

Test your hypothesis at the 0.05 level.

Download required data here.

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