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A normal population has a mean of 15.0 and a standard deviation of 3.0.

a. Compute the z value associated with 13.0.

b. What proportion of the population is less than 12.0?

Submitted: 236 days and 12 hours ago.

Category: Math

Value: $9

Status: CLOSED

Accepted Answer

Hi,

a.
z = (x - μ)/σ
= (13.0 - 15.0)/3.0
= -2/3
= -0.67

b.
z = (x - μ)/σ
= (12.0 - 15.0)/3.0
= -3/3
= -1

proportion = 0.1587
= 15.87%

Accepts:
Expert:	abozer
Pos. Feedback:	99.9 %
Answered:	3/30/2009

Math Answer Team

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Math

Have your own Math question?

Question

A normal population has a mean of 15.0 and a standard deviation of 3.0. a. Compute the z value associated with 13.0. b. What proportion of the population is less than 12.0?

Accepted Answer

Hi, a. z = (x - μ)/σ = (13.0 - 15.0)/3.0= -2/3= -0.67b.z = (x - μ)/σ = (12.0 - 15.0)/3.0 = -3/3 = -1proportion = 0.1587= 15.87%

Related Math Questions

A normal population has a mean of 15.0 and a standard deviation of 3.0.

a. Compute the z value associated with 13.0.

b. What proportion of the population is less than 12.0?

Hi,

a.
z = (x - μ)/σ
= (13.0 - 15.0)/3.0
= -2/3
= -0.67

b.
z = (x - μ)/σ
= (12.0 - 15.0)/3.0
= -3/3
= -1

proportion = 0.1587
= 15.87%