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

c. (3,2,6) is the answer.