You have a SRS of 15 ??(??, ??) distributed observations (where ?? is known but ?? is not). You conduct a test of ??0: ?? = 10 vs. ????: ?? < 10. You compute a test statistic value of ?? = 2.4. Using only the 68-95-99.7 rule (i.e., not the qnorm() function or tables) and a sketch of an appropriate density curve (with informative labels and shading), give an approximate value for the p-value (i.e., find values ?? and ?? such that that ?? < p-value < ??).
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