Incompatibility is always a problem when working with computers. A new digital frequency converter is being tested. It takes the sampling frequency from 30 to 52 kilohertz word lengths of 14 to 18 bits and arbitrary formats and converts it to the output sampling frequency. We are interested in the conversion error having a standard deviation less than 150 picoseconds. Assume the conversion error data below is normally distributed. These data are obtained on the sampling error made in 20 tests of the device: 

Calculate x and s (report both to two decimal places), then test the following hypothesis and report your conclusion sentence.

H0: μ = 0 

H1: μ ≠ 0 

α = .1

 Test the following hypothesis and report your conclusion sentence 

H0: σ ≥ 150 

H1: σ ≤ 150 

α = .1

133.2 -11.5 -126.1 17.9 139.4 -81.7 314.8 147.1 -70.4 104.3 56.9 44.4 1.9 -4.7 96.1 -57.3 -43.8 -95.5 -1.2 9.9