(Basic Statistics for Citizen Data Scientist) Hypothesis Testing for Binomial Distribution Example 1: Suppose you have a die and suspect that it is biased towards the number three, and so run an experiment in which you throw the die 10 times and count that the number three comes up 4 times. Determine whether the die is biased. …

(Basic Statistics for Citizen Data Scientist) Binomial Distribution Definition 1: Suppose an experiment has the following characteristics: the experiment consists of n independent trials, each with two mutually exclusive outcomes (success and failure) for each trial the probability of success is p (and so the probability of failure is 1 – p) Each such trial is called a Bernoulli trial. Let x be the discrete …

(Basic Statistics for Citizen Data Scientist) Tolerance Interval As described in Confidence Intervals, a confidence interval provides a way of estimating a population parameter by a corresponding sample statistic to a given level of confidence. We show how to estimate the population mean (the parameter) by the sample mean (the statistic). In particular, if the experiment is …