Example 3

Looking at the data from Example 2, could these samples come from the same fish population? If so, with what statistical significance? In other words, is Sigmund fishing out of the same known population as Exequiel, or has he found a spot where the potential mean for a catch is higher than in the rest of the pond? Could Sigmund have been manipulating data? Perform a two-sample t-test to determine the probability that the catches of both fishermen came from the same population.
  1. Determine the standard deviation and mean of each set of data.
  2. Determine the t-value for the two catches.
  3. Determine the degrees of freedom.
  4. Determine the p-value.
  5. Summarize your results.
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