Question

[9 marks] The following data show the costs charged by a tax preparation service for a...

[9 marks]

The following data show the costs charged by a tax preparation service for a random sample of 16 tax returns.

$125 $95 $142 $110 $90 $115 $162 $118 $98 $65 $140 $154 $103 $78 $90 $115

  1. Construct a 98% confidence interval estimate for the true average cost charged by this tax preparation service. You may assume that the costs charged follow a normal distribution. (7 marks)
  2. The company that offers the tax preparation service claims that their average cost for preparing a tax return is $100. At this level of confidence, does this sample result suggest that their claim may not true? Justify your answer. (2 marks)
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