# Confidence interval for difference in means

## Comparison of Two Means The difference in sample means is used to estimate the difference in population means. The accuracy of the estimate is revealed by a confidence interval.

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If you're seeing this message, it means we're having trouble loading external resources on our website. To log in and use all the features of Khan Academy, please enable JavaScript in your browser. Math Statistics and probability Two-sample inference for the difference between groups Comparing two means. Statistical significance of experiment. Statistical significance on bus speeds.

It is much more common for a researcher to be interested in the difference between means than in the specific values of the means themselves. We take as an example the data from the " Animal Research " case study. In this experiment, students rated on a 7-point scale whether they thought animal research is wrong. The sample sizes, means, and variances are shown separately for males and females in Table 1. As you can see, the females rated animal research as more wrong than did the males. This sample difference between the female mean of 5. However, the gender difference in this particular sample is not very important.

probability that the distance from the difference in means to the confidence limits There are two formulas for calculating a confidence interval for the difference.
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This lesson describes how to construct a confidence interval for the difference between two means. The approach described in this lesson is valid whenever the following conditions are met:. Generally, the sampling distribution will be approximately normally distributed when the sample size is greater than or equal to To construct a confidence interval , we need to know the variability of the difference between sample means. This means we need to know how to compute the standard deviation of the sampling distribution of the difference. Note: In real-world analyses, the standard deviation of the population is seldom known. Some texts present additional options for calculating standard deviations.

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## Confidence Intervals

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1. Benzcomtisysc says:

By Deborah J.

2. Pascal F. says:

Confidence Interval on the Difference Between Means

3. Dorian R. says:

There are many situations where it is of interest to compare two groups with respect to their mean scores on a continuous outcome.

4. Channing B. says:

Confidence Interval for the Difference Between Two Means