Question

Please, help me solve.

Answer 1

The answer is 81.85%

Explanation:

Given;

• μ = 116
• σ = 14

The z score is used to determine by how many standard deviations the raw score is above or below the mean.

The z score is given by:

z = x - μ/σ

where,

• x = raw score
• μ = mean
• σ = standard deviation

For x = 88

z = 88 - 116/14

z = (-2)

For x = 130

z = 130 - 116/14

z = (1)

Thus,

P(88 < x < 130) = P(-2 < z < 1)

= P(z < 1) - P(z < -2)

= 0.8413 - 0.0228 = 81.85%

Thus, 81.85% of the population would be between 88 and 130.