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Find the value of such that 0.11 of the area lies to the left of 2 Round your answer to two decimal places.

A psychology professor assigns letter grades on a test according to the following scheme. A: Top 7% of scores B: Scores below

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Answer #1

Answer:

1)

We want to find Z such that p(z < Z) = 0.11

now look into normal z table z-score related to 0.11

we get,

Z = -1.23

Answer = -1.23

2 -3.4 -3.3 -3.2 -3.1 -3.0 -2.9 -2.8 -2.7 -2.6 -2.5 -2.4 -2.3 -2.2 -2.1 -2.0 -19 -1.8 -1.7 -1.6 -1.5 -1.4 -12- -1.21 11 -1.0

2)

\mu= 78.4, \sigma = 7.6

here we want to find 94th percentile to get top 7% score

using z table we get z-score related to 0.94

we get,

Z = 1.56

formula is

z= \frac{X - \mu }{\sigma }

convert it for X

X = \mu + ( Z * \sigma )

X = 78.4 + ( 1.56 * 7.6 )

X = 90.25600

X = 90

Answer = 90

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