14) A coin is tossed 1000 times and 570 heads appear. At a = 0.05, test the claim that this is not a biased coin. Does this suggest the coin is fair? H o : ________ H a : ________ Write ‘claim’ next...








14) A coin is tossed 1000 times and 570 heads appear. At a = 0.05, test the claim that this is not a biased coin. Does this suggest the coin is fair?


  1. Ho: ________

  2. Ha: ________

  3. Write ‘claim’ next to the hypothesis where appropriate.

  4. Identify which of these you will use: z-test / t-test / 1-prop-z-test

  5. Find the critical value. ___________

  6. Is the test left-tailed, right-tailed, or two-tailed? _________

  7. What is the value of your test-statistic? __________

  8. What is your p-value? __________

  9. Do you decide to Reject H0 or Fail to Reject H0?








15)Joan’s Nursery specializes in custom-designed landscaping for residential areas. The estimated labor cost associated with a particular landscaping proposal is based on the number of plantings of trees, shrubs, and so on to be used for the project. For cost-estimating purposes, managers use two hours of labor time for planting of a medium-sized tree. Actual times from a random sample of 10 plantings during the past month follow (times in hours).
1.7 1.5 2.6 2.2 2.4 2.3 2.6 3.0 1.4 2.3

With a 0.05 level of significance, Use the following steps to test to see whether the population mean tree- planting time differs from two hours. Assume that the population is approximately normally distributed.


  1. Ho: ________

  2. Ha: ________

  3. Write ‘claim’ next to the hypothesis where appropriate.

  4. Identify which of these you will use: z-test / t-test / 1-prop-z-test

  5. Find the critical value. ___________

  6. Is the test left-tailed, right-tailed, or two-tailed? _________

  7. What is the value of your test-statistic? __________

  8. What is your p-value? __________

  9. Do you decide to Reject H0 or Fail to Reject H0?




May 14, 2022
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