8.4.23 Question Help * Assume that a simple random sample has been selected from

Question

8.4.23 Question Help * Assume that a simple random sample has been selected from a conclusion that addresses the original claim Asimple random sample of pagestom a dictionary is obtained Listed below are te numbers of words defed o·those more than 70,000 deined words is the same as the claim that the mean number of defined words on a the claim that there are more than 70,000 defined words in the dictionary? normally distributed population and test the given dlaim. Identify the nul and ahernative hypotheses, test staistic, critical value(s), and state the final are the numbers of words defined on those pages. Given that this dictionary has 1459 pages with defined words, the claim that there are page is greater than 48.0. Use a 0.10 level significance level to test this claim. What does the resuit 78506952467240419498 1)Click the ion to view a table of critical t-values What are the nuil and aiternative hypotheses? OA. Ho: > 48.0 m,:-48.0 Hy48.0 Ho: . 48.0 H1 :

Explanation / Answer

Set Up Hypothesis
Null, H0: U=48
Alternate, H1: U>48
Test Statistic
Population Mean(U)=48
Sample X(Mean)=63.8
Standard Deviation(S.D)=21.0227
Number (n)=10
we use Test Statistic (t) = x-U/(s.d/Sqrt(n))
to =63.8-48/(21.0227/Sqrt(10))
to =2.368
| to | =2.368
Critical Value
The Value of |t | with n-1 = 9 d.f is 1.383
We got |to| =2.368 & | t | =1.383
Make Decision
Hence Value of | to | > | t | and Here we Reject Ho
P-Value :Right Tail - Ha : ( P > 2.3767 ) = 0.02073
Hence Value of P0.1 > 0.02073,Here we Reject Ho

Reject Ho, there is enough evidence to support the cliam that the mean
number of defined greater than 48

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