Statistic right over here, we would use a Z distribution but since we're using this Our sample standard deviation and if we use that, if we use sigma which is a population parameter then we could use a Z If we knew the standardĭeviation for the population, we would use that instead of The reason why we're using a T statistic is because we don't know the actual standardĭeviation for the population. Minus our critical value times the sample standard deviation divided by the square root of N. Interval is going to take the form and we've seen this before, our sample mean plus or Sample standard deviation which is equal to 50 and they want to use this data to construct a 95% confidence interval and so, our confidence They calculate the sample mean which is 700, they also calculate the Here, the population mean and so, the take a sample of 14 burritos and they calculate some sample statistics. There is a mean caloricĬontent that the nutritionist wants to figure out but doesn't know the true population parameter All right, what's going on here? So, there's a population of burritos here. Based on this sample, which of the following isĪ 95% confidence interval for the mean caloricĬontent of these burritos? So, pause this video and see Their sample data are roughly symmetric with a mean of 700 calories and a standard deviation of 50 calories. ![]() ![]() They obtain a random sample of 14 burritos and measure their caloric content. Wants to estimate the average caloric content of the burritos at a popular restaurant.
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