A gaming company develops different game packages that are downloadable from their servers on the internet. They need to make sure the download speed of their servers is as planned and adjust the capacity of their servers anytime needed. They measure the download time of their software 6 times a day for 5 days as shown in the table below. The standard deviation of the download time is 4.5. Download tine in seconds Day Day 1 Day 2 Day 4 Day S 41 41 37 36 37 44 45 46 39 39 43 45 45 40 40 45 42 46 41 39 46 39 38 42 43 41 42 38 a. Construct an appropriate control chart (with two-sigma limits) to demonstrate if the download time is within the company's expectation and the process Is in control. (Round your answer to two decimal places.) UCL of LCL of 7 b. Do you think the download time on any of these days had a wide range? Use o control chart to support your answer. (Round your answer to two decimal places.) UCL for LCL for

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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.