Patty's Pavers has determined that a paver measuring 5 inches long has a z-score of +1 and a paver measuring 5.25 inches long has a z-score of +2. What is the mean length of the pavers produced at Patty's Pavers?

The mean of the length of the paver produced at Patty's Pavers is

   μ    = 4.75

Step-by-step explanation:

Step(i):-

Given Patty's paver measuring 5 inches long

    Given 'x' = 5 inches

             Z- score = 1  

Let 'X' be the variable in normal distribution

Cross multiplication, we get

   σ = 5 -μ  ...(i)

And also  

     Given 'X' = 5.25 inches

    2σ = 5.25 -μ ....(ii)

Step(ii):-

Subtracting (i) and (ii) equations , we get

5 -μ  - (5.25  -μ ) = σ -2σ

      5 - 5.25 = -σ  

             σ = 0.25

Substitute  σ = 0.25 in equation (i) , we get

     σ = 5 -μ

    0.25 = 5 - μ

   μ   = 5 - 0.25 = 4.75

Conclusion:-

The mean of the length of the paver produced at Patty's Pavers is

   μ    = 4.75

a

step-by-step explanation:

answer 1 : option "c"

answer 2 : option "d"

answer 3 : option "b"

answer 4 : option "d"

answer 5 : option "b"

answer 6 : option "a"

answer 7 : option "c"

answer 8 : option "d"

answer 9 : option "c"

answer 10 : option "d"

answer 11 : option "c"

answer 12 option "b"

answer 13 option "c"

answer 14 option "c"

answer 15 option "d"

answer 16 option "a"

answer 17 option "b"

answer 18 option "c"

answer 19 option "a"

answer 20 option "a"

answer 21 option "c"

d