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The mean age for Kings College students for a recent Fall term was 28.8 . Suppose that 21 mean age for the sample was 26.4 . The sample standard deviation was calculated to be 11 Winter Kings College students. Winter students were randomly selected. The . We are interested in the true mean age for a. (.10) b. (.10) s= c. (.20) The standard error for x = d.(20) The 1 value for a 95% confidence interval is e. (.20) Construct a 95% confidence interval for the sample mean. Fill in the blanks to clarify the following diagram. LL (lower limit) UL (upper limit) ULf. (.20) Is the mean age for the Fall term within our 95% confidence interval for the mean age for the Winter term? V (pick one) YES NO

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Griven Hhaty poputahion mean Sample size n 21. Sam-gLe mean- χ 26.4. Sample shrandae d deviahion SE Li ) shandavd deviahion nfi den ce inte mval, is to in-.) 2 Here Conti dence leveLo 95 : t value to205;(21-1丿ニ 2-086interva L is 5 2 26 4 2 086 26 4-5.0 - 21.4 fun 95%, eo n fi den ee The upper しi mir. 2. - 26 4 2 0 86 2.1 26 4+ 5.0 31.1 9onfidence inhemvaL is (21 4, 31 4) which ies between 21 4 and 31 4 , yes, H. e mean age fon Hve Fa LL ryom is within onn g5 y. confidence inyemval r he mean age fon he

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