In: Statistics and Probability
What do we mean when we say we have a “distribution of mean differences”? Theoretically, how would you construct a “distribution of mean differences”?
Distribution of difference between means comparing the difference of two sample means. It is usually done when we need to compare the two sample means to derive a conclusion for the variation in the population mean.
For exmaple , suppose we have average height of female = 160 cm , and the average height of male = 170cm , and we need to find the probability that the average difference between their heights is more than 7cm . In such cases we require the difference between their means
Distribution of difference of means can be constructed in following ways.
I have given the detailed solution of the above question. Please upvote if you find it helpful. Feel free to ask doubt in case you need it in the comment section. Thanks.