An independent random sample is selected from an approximately normal population with an unknown standard deviation. Find the p-value for the given sample size and test statistic. Also determine if the null hypothesis would be rejected at α = 0.05. For each the given set of hypotheses, sample size and the T-statistic, find the p-value, draw a t-curve and shade the region of which the area the p-value indicates. As it’s not possible to find the precise P-values using a t-table, it suffices to give a range. (a) HA : μ 6= 0.5, n = 26, T = 2.6 (b) HA : μ < 3, n = 18, T = −2.2 (c) HA : μ < 3, n = 18, T = 2.2

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