A simple random sample of 20 pages from a dictionary isobtained. The numbers of words defined on those pages are​ found,with the results nequals20​, x overbarequals54.3 ​words,sequals16.6 words. Given that this dictionary has 1477 pages withdefined​ words, the claim that there are more than​ 70,000 definedwords is equivalent to the claim that the mean number of words perpage is greater than 47.4 words. Use a 0.10 significance level totest the claim that the mean number of words per page is greaterthan 47.4 words. What does the result suggest about the claim thatthere are more than​ 70,000 defined​ words? Identify the null andalternative​ hypotheses, test​ statistic, P-value, and state thefinal conclusion that addresses the original claim. Assume that thepopulation is normally distributed.
