# Question: A random sample of 8 observations taken from a population

A random sample of 8 observations taken from a population that is normally distributed produced a sample mean of 44.98 and a standard deviation of 6.77. Find the critical and observed values of t and the ranges for the p-value for each of the following tests of hypotheses, using α = .05.

a. H0: µ = 50 versus H1: µ ≠ 50

b. H0: µ = 50 versus H1: µ < 50

a. H0: µ = 50 versus H1: µ ≠ 50

b. H0: µ = 50 versus H1: µ < 50

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