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 36 , the 3-sigma x chart control limits are:

Upper Control Limit (UCL x ) =

Answer 1

The upper control limit (UCL x) for a sample size of 36 Honey-Nut Oatmeal boxes is 15.45 ounces.

Step-by-step explanation:

The control limits on an X-bar chart can be calculated using the formula UCL x = μ + 3σ and LCL x = μ - 3σ, where μ is the mean and σ is the standard deviation.

In this case, the mean weight of the Honey-Nut Oatmeal boxes is 15.0 ounces and the standard deviation is 0.15 ounce. To find the upper control limit (UCL x), we need to calculate 3 times the standard deviation and add it to the mean.

UCL x = 15.0 + (3 * 0.15) = 15.45 ounces