With reference to Exercise 2.64, test that the mean charge of the electron is the same for both tubes. Use \(\alpha=0.05\).

Data From Exercise 2.64

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2.64 J. J. Thomson (1856-1940) discovered the electron by isolating negatively charged particles for which he could measure the mass/charge ratio. This ratio ap- peared to be constant over a wide range of experimen- tal conditions and, consequently, could be a charac- teristic of a new particle. His observations, from two different cathode-ray tubes that used air as the gas, are Tube 10.57 0.34 0.43 0.32 0.48 0.40 0.40 Tube 2 0.53 0.47 0.47 0.51 0.63 0.61 0.48 (Source: Philosophical Magazine 44; 5 (1897): 293.) (a) Draw a dot diagram with solid dots for Tube 1 ob- servations and circles for Tube 2 observations. (b) Calculate the mean and standard deviation for the Tube 1 observations. (c) Calculate the mean and standard deviation for the Tube 2 observations.