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hi everybody this is eugene lachlan and welcome to my series of short how-to videos in this video weamp;#39;re going to learn how to calculate the confidence interval for a sample and weamp;#39;re going to learn how to do this by hand so first off letamp;#39;s take a look at the data that weamp;#39;re going to use in this example um iamp;#39;ve used this data before in previous videos these are the data for 14 randomly selected bags of food which weigh one kilogram or 1 000 grams so weamp;#39;ve randomly selected those from a production line as part of a quality control process and we want to be able to do do some statistical calculations with these data so the first thing iamp;#39;ve done with these sample of 14 here is iamp;#39;ve worked out the sample mean and we can see the sample mean x bar is equal to 996.21 grams s is the standard deviation that works out at 5.65 and n the sample size is 14. so weamp;#39;re going to need these some of these values in our later calculati