Mary was interested in comparing the mean word length in articles from a medical journal and an airline’s in-flight magazine. She counted the number of letters in the first 400 words of an article in the medical journal and in the first 100 words of an article in the airline magazine. Mary then used statistical software to produce the histograms shown.

Let  the true mean length of all words in the medical journal and μAM  the true mean length of all words in the airline magazine. Check if the conditions for calculating a confidence interval for  are met.

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Medical journal Airline magazine 30 25 20 15 10 5 0 2 4 6 8 10 12 14 2 4 6 8 10 12 14 Word length Percent