17. A variable distributes normally in the population, with a mean of u=1000 and a standard deviation of g=120, a. What is the percentile rank of the score x=1180? b. Which scores form the limits of the middle 80% of the distribution? c. What is the probability of randomly selecting a score between 940 and 1120? d. When randomly selecting a sample the size of n-100 from the population above, what is the probability of getting a sample mean higher than M-1015? e. When randomly selecting a sample the size of n=36 from the population above, what is the probability of getting a sample mean higher than M-1015? f Explain the difference between your answers to 17(d) and 17(e).

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17. A variable distributes normally in the population, with a mean of u=1000 and a standard deviation
of g=120, a. What is the percentile rank of the score x=1180? b. Which scores form the limits of the
middle 80% of the distribution? c. What is the probability of randomly selecting a score between 940
and 1120? d. When randomly selecting a sample the size of n-100 from the population above, what is
the probability of getting a sample mean higher than M-1015? e. When randomly selecting a sample
the size of n=36 from the population above, what is the probability of getting a sample mean higher
than M-1015? f Explain the difference between your answers to 17(d) and 17(e).
Transcribed Image Text:17. A variable distributes normally in the population, with a mean of u=1000 and a standard deviation of g=120, a. What is the percentile rank of the score x=1180? b. Which scores form the limits of the middle 80% of the distribution? c. What is the probability of randomly selecting a score between 940 and 1120? d. When randomly selecting a sample the size of n-100 from the population above, what is the probability of getting a sample mean higher than M-1015? e. When randomly selecting a sample the size of n=36 from the population above, what is the probability of getting a sample mean higher than M-1015? f Explain the difference between your answers to 17(d) and 17(e).
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