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I collected some data about how much buyers of my book liked it (on a scale...

I collected some data about how much buyers of my book liked it (on a scale of 1 = it’s utter rubbish to 10 = I never read anything else). I ended up with a sample of 15,467 people. When I looked at the distribution, I found a skew of 1.23 (SE = 0.65). The mean rating was 4.78. Which of the following would be the best way to decide whether the skew is problematic?

  • a.

  • See if the z-score is bigger than 1.96 or smaller than –1.96.

  • b.

  • See if the skew is significant at p < .05.

  • c.

  • Use the Kolmogorov–Smirnov test.

  • d.

  • None of the above because of the large sample size.

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