Question

Boxes of​ Honey-Nut Oatmeal are produced to contain 15.0 ​ounces, with a standard deviation of 0.15 ounce. For a sample size of 49​, the ​3-sigma x overbar chart control limits​ are:
a. What is the Upper control limit ?



b. What is the Lower control limit?

Answer 1

Answer:

A.  Upper control limit = 15.06

B.  Lower coontrol limit= -14.93

Explanation:

Total content in the box, μ = 15

Sample, n = 49

Standard deviation, σ = 0.15

A. Upper control limit = μ+Aσ

                                    = μ+$\frac{3}{\sqrt{n} }$ σ

                                    = 15+$\frac{3}{\sqrt{49}}$ ×0.15

                                    = 15.06

B Lower Control Limit = μ-Aσ

                                     = μ·$\frac{3}{\sqrt{n} }$ σ

                                     = 15-$\frac{3}{\sqrt{49} }$× 0.15

                                     = -14.93