A simple random of pages from a dictionary is obtained. Listen below are the num

Question

A simple random of pages from a dictionary is obtained. Listen below are the number of words defined on those pages. Given that this dictionary has 1459 pages with defined words, the claim that there are more than, 70,000 defined words is the same as the claim that the mean number of defined words on a page great than 48.0. Use a 0.10 level significance level to test this claim. what does the result suggest about the claim that there are more than 70,00 defined words in dictionary? 51 39 83 43 50 62 51 44 115 72
Test statistics
Critical values A simple random of pages from a dictionary is obtained. Listen below are the number of words defined on those pages. Given that this dictionary has 1459 pages with defined words, the claim that there are more than, 70,000 defined words is the same as the claim that the mean number of defined words on a page great than 48.0. Use a 0.10 level significance level to test this claim. what does the result suggest about the claim that there are more than 70,00 defined words in dictionary? 51 39 83 43 50 62 51 44 115 72
Test statistics
Critical values
Test statistics
Critical values

Explanation / Answer

here null hypothesis: Ho mean =48

and alternate hypothesis mean>48

here sample size n =10

therefore std error of mean =std deviation/(n)1/2 =7.409

for above test statistic t =(X-mean)/std error =(61- 48)/7.409 =1.7547

also critical values for 9 degrees of freedom at 0.1 level =1.383

as test stat is greater then t critical, we can conclude that word length per page is greater then 48.

words 51 39 83 43 50 62 51 44 115 72 mean 61 std deviation 23.428

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