Given that the interval of the widget width is
[tex]12.8<\mu<34.9[/tex]
The correct statements out the once given are,
Option 2 which says;
There is 95% chance that the mean of a sample of 29 widgets will be between 12.8 and 34.9.
Option 3 which says;
With 95% confidence, the mean width of a randomly selected widget will be between 12.8 and 34.9
Therefore, the correct options are Option 2 and 3.
