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Draw a vertical line through a normal distribution for
each of the following z-score locations. Determine
whether the tail is on the right or left side of the line
and find the proportion in the tail.
z= 1.00
z= 0.50
z= -1.25
z= -0.40

Sagot :

The proportion in the tail with regards to the z scores will be:

  • z = 1.00 = 0.1587
  • z = 0.50 = 0.3085
  • z = -1.25 = 0.1056
  • z = -0.40 = 0.3446

How to calculate the values?

a. z= 1.00

P(z > 1.00) = 1 - P(Z < 1.00)

= 1 - 0.8413

= 0.1587

The tail will be on the right side.

The proportion of the tail will be 0.1587.

b. z = 0.50

P(z > 0.50) = 1 - P(Z < 0.50)

= 1 - 0.6915

= 0.3085

The tail will be on the right side.

The proportion of the tail will be 0.3085

c. z= -1.25

P(z < -1.25)

= 0.1056

The tail will be on the left side.

The proportion of the tail will be 0.1056.

d. z= -0.40

P(z < -0.40)

= 0.3446

The tail will be on the left side.

The proportion of the tail will be 0.3446.

Learn more about z scores on:

brainly.com/question/25638875

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