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A used car dealer says that the mean price of a five-year-old truck (in average condition) is at most $13,000. You suspect this claim is

  1. A used car dealer says that the mean price of a five-year-old truck (in average condition) is at most $13,000. You suspect this claim is incorrect and find that a random sample of 33 similar trucks has a mean price of $11,500 and a standard deviation of $600. Is there enough evidence to reject the claim at = 0.05?
  2. A recent study claimed that at least 60% of U.S. adults believed that cloning animals is morally wrong. To test this claim, you conduct a random survey of 300 U.S. adults. In the survey, you find that 162 believe that cloning animals is morally wrong. At = 0.05, is there enough evidence to reject this claim?
  3. According to a recent study, the mean cost of a knee replacement surgery is $31,000. You think this information is incorrect. You randomly select 35 patients and find that the mean cost for their surgeries is $36,400. From past studies, the population standard deviation is known to be $3200 and the population is normally distributed. Is there enough evidence to support your claim at = 0.05?

i.Match the three scenarios above with the three different types of one sample hypothesis tests:

  • Z-test (In StatCrunch: StatZ StatsOne Sample)
  • T-test (In StatCrunch: StatT StatsOne Sample)
  • Proportions test (In StatCrunch: StatProportion StatsOne Sample)

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