7.27 UberX driver earnings. On its blog, Uber posted a scatterplot using a sample of several thousand drivers in New York City. The plot shows each driver’s average net earnings per hour versus the number of hours worked.10 Here is a sample of earnings (dollars) for 27 drivers working 40 hours a week.

26.25 33.51 43.91 31.91 31.78 43.37 36.66 31.69 31.25
46.86 35.44 40.30 30.93 37.80 42.44 43.80 49.64 36.79
34.10 37.54 30.93 38.40 37.83 21.73 41.62 26.25 33.51

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    (a) Do you think it is appropriate to use the t methods of this section to compute a 95% confidence interval for the average earnings per hour of New York City UberX drivers working 40 hours a week? Generate a plot to support your answer.

  2. (b) Report the 95% confidence interval for μ, the average earnings per hour of New York City UberX drivers working 40 hours a week, as an estimate and margin of error.

  3. (c) Report the 95% confidence interval for the average annual earnings of New York City UberX drivers working 40 hours a week.

  4. (d) According to Uber, the median annual wage of an UberX driver working at least 40 hours in New York City is $90,766. Can these data be used to assess this claim? Explain your answer.