Show transcribed image text This problem is based on the well-known Newcomb data set for the speed of light.9 It contaims the measurements (in nanoseconds) it took the light to bounce inside a network of mirrors. The numbers given are the time recorded minus 24, 800 ns. We will only use the first ten values. 28 26 33 24 34 -44 27 16 40 -2 Some mishaps in the experimental procedure led to the two unusually low values (-44 and-2). Calculate the 95% C.1.'s for the mean in case when a) all the values are used b) the two outliers are removed Which of the intervals will you trust more and why?

This problem is based on the well-known Newcomb data set for the speed of light.9 It contaims the measurements (in nanoseconds) it took the light to bounce inside a network of mirrors. The numbers given are the time recorded minus 24, 800 ns. We will only use the first ten values. 28 26 33 24 34 -44 27 16 40 -2 Some mishaps in the experimental procedure led to the two unusually low values (-44 and-2). Calculate the 95% C.1.'s for the mean in case when a) all the values are used b) the two outliers are removed Which of the intervals will you trust more and why?