Question: The average the score for a standard test has a mean of 185. Assume that the score is normally distributed and that the standard deviation

  1. The average the score for a standard test has a mean of 185. Assume that the score is normally distributed and that the standard deviation is 25.
    • If a student happens to get a score at 25% percentile, that is the score?
    • If you select a random sample of 36 individuals, what is the probability that the sample mean is between 180 and 200?
    • If you select a random sample of 100 individuals, what is the probability that the sample mean is between 180 and 187?
    • Based on the sample of part c, what is the cutoff value for top 10%?

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