Answer :

(B) 8

Explanation:

Given:

Mean, μ = 34

Standard deviation, σ = 9

Data points, x = 20, 22, 24, 28, 33, 35, 38, 40, 42, 45, 47

We can calculate the z score by the formula

[tex]z = \frac{x- u}{p}[/tex]

z(20) = [tex]\frac{20 - 34}{9} = -1.5[/tex]

z(22) = [tex]\frac{22-34}{9} = -1.3[/tex]

z(24) = [tex]\frac{24-34}{9} = -1.1[/tex]

z(28) = [tex]\frac{28-34}{9} = -0.6[/tex]

z(33) = [tex]\frac{33-34}{9} = -0.1[/tex]

z(35) = [tex]\frac{35-34}{9} = 0.1[/tex]

z(38) = [tex]\frac{38-34}{9} = 0.4[/tex]

z(40) = [tex]\frac{40-34}{9} = 0.6[/tex]

z(42) = [tex]\frac{42-34}{9} = 0.8[/tex]

z(45) = [tex]\frac{45-34}{9} = 1.2[/tex]

z(47) = [tex]\frac{47-34}{9} = 1.4[/tex]

Z score less than 0.7 is 8

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