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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 a different standard deviation, and:
It is believed that widgets from machine 1 have a mean greater than that of machine 2

Sample from Machine 1 (data points separated by commas):
62.56    ,    67.37    ,    65.93
Machine 1 has sample mean: 65.287 and the sample standard deviation is: 2.469.


Sample From Machine 2 (data points separated by commas):
59.56    ,    57.32    ,    61.4    ,    57.44    ,   
57.98    ,    59.65    ,    57.32
Machine 2 has sample mean: 58.667 and the sample standard deviation is: 1.573.

Test your hypothesis at the 0.05 level.

You can download required data if you wish

Enter your answer below (4 decimal places).
P-value:
Select Answer:
Fail to Reject Null Hypothesis
Reject Null Hypothesis