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In: Statistics and Probability

Problem 2 (15 Marks) The Manager at Brackley Fun Park advertises that the typical family visiting...

Problem 2

The Manager at Brackley Fun Park advertises that the typical family visiting the park spends at least one hour in the park during weekends. A sample of 35 visitors during the weekends in the month of July revealed that the mean time spent in the Park was 62 minutes with a standard deviation of 8 minutes.

  1. Using the 0.01 significance level and a one-tailed test, is it reasonable to conclude that the mean time in the Park is greater than 60 minutes? Show all steps in your test of hypothesis.
  2. Repeat the analysis at the 0.05 significance level. (You may show only the calculations that change).
  3. Repeat with a survey mean of 65 minutes at the .01 significance level. (You may show only the calculations that change).
  4. What do you conclude from your analysis?

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