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hi everybody this is eugene lachlan and welcome to my series of short how-to videos in this video were going to learn how to calculate the confidence interval for a sample and were going to learn how to do this by hand so first off lets take a look at the data that were going to use in this example um ive 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 weve 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 ive done with these sample of 14 here is ive 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 were going to need these some of these values in our later calculations lets take a look at the t distribution this is a typical t distrib
