Help with Statistics HW?
Use Table A to find the proportion of observations from a standard normal distribution that satisfies each of the following statements. In each case, sketch a standard normal curve and shade the area under the curve that is the answer to the question.
(a) z < 2.35
(b) z > 2.35
(c) z > 0.54
(d) 0.54 < z < 2.35
Here's the table:
http://www.webassign.net/ymsstat/table-a...
Help with Statistics HW?
to read the table you must remember that this cumulative distribution function says P(Z < z).
(a) find P(Z < 2.35). you'll be shading the majority of the curve in, all the area below the curve for z < 2.35 (left side)
read down the far left column to find the row starting with 2.3, next look at the column with the heading of 0.05. the value that is in the in cell intersecting this row and column is the probability of P(Z < 2.35) = 0.9906
(b) for P(Z > 2.35) = 1- P(Z < 2.35) = P( Z < -2.35),
shade in the right tail and by either reading the table or doing the algebra you'll find P(Z > 2.35) = 1 - 0.9906 = 0.004
(c) for P(Z > 0.54) = 1 - P(Z < 0.54) = P(Z < -0.54)
the third statement is valid because of the symmetry in the normal distribution.
to find this read down the left column to find the row starting with -0.5 and the read over to the column that is headed by 0.04 to find P(Z > 0.54) = P(Z < -0.54) = 0.2946
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