The following data represents a sample of 30 cumulative averages for the current Nassau Community College Liberal Arts students with at least 30 credits. 1.41 3.34 3.07 2.08 1.83 1.25 3.43 1.93 1.14 3.16 1.62 1.79 3.29 1.58 1.24 3.36 3.62 3.48 1.55 1.94 3.81 1.57 1.14 1.82 3.54 1.03 2.27 1.37 2.07 2.71 Test the hypothesis that N.C.C Liberal Arts students have a 2.54 average if you believe the hypothesis is too low and answer the questions below. Use $\alpha = 5\%$. 1. State a Null ($H_0$) and Alternative ($H_1$) hypothesis for this test in symbols and in words. 2. Calculate the sample mean ($\bar{x}$) to two decimal places. 3. Calculate the standard deviation ($s$) to two decimal places.
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