Checkout time at a supermarket is monitored using a mean and a range chart. Six samples of n = 20 observations have been obtained and the sample means and ranges computed: Sample Mean Range 1 3.06 .42 2 3.15 .50 3 3.11 .41 4 3.13 .46 5 3.06 .46 6 3.09 .45 Using the factors in Table 10.3 , determine upper and lower limits for mean and range charts. (step-by-step solution) Is the process in control? Explain.
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
Checkout time at a supermarket is monitored using a
| Sample | Mean | Range |
| 1 | 3.06 | .42 |
| 2 | 3.15 | .50 |
| 3 | 3.11 | .41 |
| 4 | 3.13 | .46 |
| 5 | 3.06 | .46 |
| 6 | 3.09 | .45 |
- Using the factors in Table 10.3 , determine upper and lower limits for mean and range charts. (step-by-step solution)
- Is the process in control? Explain.
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