Use the â€test.vs.grade†data and test the null hypothesis that
the mean test score for the...
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Use the â€test.vs.grade†data and test the null hypothesis thatthe mean test score for the population is 70 against thealternative that it is greater than 70. Find a p-value and stateyour conclusion if α = 0.05. Repeat for the null hypothesis µ =75.
To test the given hypothesesagainst We obtain the test statistic as with degrees of freedomwhere Now we reject the null hypothesis ifwhere Hence we observe that and thus reject the null hypothesis and concludethat the mean test score for the population is greater than70Similarly to test the given hypothesesagainst We obtain the test statistic as with degrees of freedomwhere Now we reject the null hypothesis ifwhere Hence we observe thatand thus we do not reject the null hypothesis and concludethat the mean test score for the population may be equal to75RCode for the two tests are providedbelow data readcsvtestvsgradecsv
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