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A researcher samples 676 observations (from a larger population). The sample has the following statistics: Mean...

A researcher samples 676 observations (from a larger population). The sample has the following statistics: Mean = 45.16 Standard Deviation = 78 a.) Show that the researcher would fail to reject ( at a level of significance = .05) the null hypothesis that the true population mean is equal to 40.0 ( when tested against the alternative hypothesis that it is NOT equal to 40.0). Suppose that, if the researcher increased the sample size, the sample statistics would stay the same. b.) Solve for the ADDITIONAL number of data points that the researcher would need to sample ( i.e., above the 676 already sampled) in order to reject the null hypothesis. Show your work.

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