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A simple random sample of 10 from a dictionary is obtained. The numbers of words defined on those pages arefound, with the results n=10, x=64.7 words, s=15.8 . Given that this dictionary has 1437 with definedwords, the claim that there are more than70,000 defined words is equivalent to the claim that the mean number of words per page is greater than 48.7 . Use a 0.10 significance level to test the claim that the mean number of words per page is greater than 48.7 . What does the result suggest about the claim that there are more than70,000 definedwords? Identify the null and alternativehypotheses, teststatistic, P-value, and state the final conclusion that addresses the original claim. Assume that the population is normally distributed.