In order to conduct a hypothesis test of the population mean, a random sample of 24 observations

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In order to conduct a hypothesis test of the population mean, a random sample of 24 observations is drawn from a normally distributed population. The resulting mean and the standard deviation are calculated as 4.8 and 0.8, respectively.

Use the p-value approach to conduct the following tests at α = 0.05.

a. H0: µ ≤ 4.5 against HA: µ > 4.5

b. H0: µ = 4.5 against HA: µ ≠ 4.5


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