Question: A sample of five measurements, randomly selected from a normally distributed population, resulted in the following summary statistics: \(\bar{x}=4.8, s=1.3\)

1. Test the null hypothesis that the mean of the population is 6 against the alternative hypothesis, \(\mu<6\). Use \(\alpha=.05\).
2. Test the null hypothesis that the mean of the population is 6 against the alternative hypothesis, \(\mu \neq 6\). Use \(\alpha=.05\).

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