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In: Statistics and Probability

The kid samples his primary carpenter ants and receives the following 5 measurements: 5mm 8mm 7.3mm...

  1. The kid samples his primary carpenter ants and receives the following 5 measurements:
    5mm 8mm 7.3mm 6.8mm 9mm
    1. What is the average size in this sample?
    2. What is the standard deviation of the sample?
    3. Is it feasible that the actual mean of the population is 10 mm. Explain and show your work. (Remember to describe your process and list all resources used.)
  2. The kid has a secondary, backup carpenter ant hive. They take the following 6 measurements:
    3mm 6.2mm 7mm 11.3mm 6.1mm 6.5mm
    1. What is the average size in this sample?
    2. What is the standard deviation of this sample?
    3. Is it feasible that the mean of this population of ants is 10 mm? Explain, show work, describe your process, and list resources used.
  3. Your averages for #1 and #2 are somewhat close. If you use the same method as me, you probably find different answers to parts c in #1 and #2. Explain why this might be true to someone who has little understanding of statistics.

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