*1. The national norm for third graders on a standardized test of reading achievement is a...

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1. The national norm for third graders on a standardized testof reading achievement is a mean score of 27 ? 4 . Racheldetermines the mean score on this test for a random sample of thirdgraders from her school district. (a) Phrase a question about herpopulation mean that could be answered by testing a hypothesis. (b)Phrase a question for which an estimation approach would beappropriate.
Needing problem 2 answered, but question 1 goes along with theproblem.
2. The results for Rachel’s sample in Problem 1 is X=33.10(n=36). (a) Calculate ?X . (b) Construct the 95% confidenceinterval for her population mean score. (c) Construct the 99%confidence interval for her population mean score. (d) Whatgeneralization is illustrated by a comparison of your answers toProblems 2b and 2c? Explain in precise terms the meaning of theinterval you calculated in Problem 2b.

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3.6 Ratings (631 Votes)

1 Given that population meanu27 standard deviation sigma 4 sample mean x 331 number n36 null Ho 27 alternate H1 27 level of significance alpha 005 from standard normal table two tailed z alpha2 196 since our test is twotailed reject Ho if zo 196 OR if zo 196 we use test statistic z xusdsqrtn zo 331274sqrt36 zo 915 zo 915 critical value the value of z alpha at los 5 is 196 we got zo 915 z alpha 196 make decision hence value of zo z alpha and here we reject Ho pvalue two tailed double the one tail ha p 915 0 hence value of p005 0 here we reject Ho ANSWERS null Ho 27 alternate H1 27 test statistic 915 critical value 196 196 decision See Answer

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