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Type I and type II errors

You are interested in whether there is a difference in average weight between adult men in Madrid, Spain, and Berlin, Germany.

Your null hypothesis is that there is no difference in weight between men in Madrid and Berlin, and your alternative hypothesis is that men in Berlin are heavier than those in Madrid.

\(\alpha\) has been set to 0.05, and the weights of 100 adult male residents from each city have been collected. Sampling with replacement has been performed to produce 10000 sample means of both cities. What conclusion can you draw based on the sample mean distributions?

mens_sample_mean_distributions_in_Berlin_and_Madrid_with_some_overlap_and_larger_expected_value_in_Madrid.png

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Introduction to Statistics

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