State whether the confidence interval includes m

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44 third grade students can be considered to be an SRS in asuburban school district with a sample mean of = 35.091. DPR scoresare approximately normal. Suppose the standard deviation ofscores in this school district is known to be σ = 11. The researcher believes that the mean score m of all third graders inthis district is higher than the national mean, which is 32.
1) State H0 & Ha
2) Calculate the test statistic and give both the test statistic and P-value
3) Give a 95% confidence interval for the mean DPR scores and state whether the confidence interval includes m
4) State your conclusion based on α =5%
5) Would your conclusion in question #4 change at 1%significance level? Explain why or why not?

Reference no: EM13244376

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