has been selected from a normally distributed population and

has been selected from a normally distributed population and test the given claim. Identify the null and altermative hypotheses, test statistic, critical valuets), and state the final conclusion that addresses the original claim A simple random sample of pages from a dictionary is obtained. Listed below are the numbers 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 is greater than 48.0. Use a 0.01 level significance level to test this claim. What does the result suggest about the claim that there are more than 70,000 defined words in the dictionary? 71 44 76 4742 64 40 44 95 40) Click the icon to view a table of critical t-values What are the null and alternative hypotheses? OA Ho: -48.0 oc. 11g: > 48.0 77 14: >480 Ho: -48.0 Hi: 480 111:

Solution

Null Hypothesis : mu=48

Alternate Hypothesis: mu>48

Data : 71,44,76,47,42,64,40,44,95,77

Mean = 60

SD =19.18

t = ( 60 - 48) / (19.18/sqrt(10)) = 1.98

P-value =0.04

Critical value = 2.821

Failed to reject null hypothesis .

Sufficient evidence is there.