Question

X ~ N(60, 13). Suppose that you form random samples of 25 from this distribution. Let...

X ~ N(60, 13). Suppose that you form random samples of 25 from this distribution. Let X

be the random variable of averages. Let ΣX be the random variable of sums.

  • Part (f)

    Sketch the graph, shade the region, label and scale the horizontal axis for

    X,

    and find the probability. (Round your answer to four decimal places.)

    P(19 < X < 57) = .2032incorrect

  • Part (g)

    Give the distribution of ΣX.
    ΣX ~
    n(1500, 325) 325 is incorrect
    ,
  • Part (h)

    Find the minimum value for the upper quartile for ΣX. (Round your answer to two decimal places.)
    1512.15(incorrect)

  • Part (i)

    Sketch the graph, shade the region, label and scale the horizontal axis for ΣX, and find the probability. (Round your answer to four decimal places.)

    P(1400 < ΣX < 1550) = .1775(incorrect)

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