For example, we can use Minitab to find the z values that offset the middle 90% of the z distribution, which would be the multipliers for a 90% confidence interval.Īs we saw at the beginning of this lesson, many of the sampling distributions that you have constructed and worked with this semester are approximately normally distributed. In Lesson 4, we used the standard error method to construct a 95% confidence interval by estimating the z* multiplier to be 2 using the Empirical Rule, because approximately 95% of a normal distribution falls within two standard deviations of the mean. Later in this lesson, we'll see that the procedures we're learning here, specifically finding the z scores that offset the middle X%, can be used to determine the z* multiplier to construct a confidence interval for any confidence level. In this lesson, we'll learn how to find such values on the z distribution or on a normal distribution with a given mean and standard deviation. This can be used to find the value that offset a given proportion, such as the top 10%, bottom 25%, or middle 95%. ![]() ![]() ![]() Minitab can also be used to find the values that separate a given proportion of the normal distribution.
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