A sample of 6 measurements, randomly selected from a normally distributed population, resulted in the following summary statistics: $\bar { x } = 9.1 , \mathrm {~s} = 1.5$. Test the null hypothesis that the mean of the population is 10 against the alternative hypothesis $\mu

Question

A sample of 6 measurements, randomly selected from a normally distributed population, resulted in the following summary statistics: $\bar { x } = 9.1 , \mathrm {~s} = 1.5$. Test the null hypothesis that the mean of the population is 10 against the alternative hypothesis $\mu < 10$. Use $\alpha = .05$.

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The Answer of A sample of 6 measurements, randomly selected from a normally distributed population, resulted in the following summary statistics: $\bar { x } = 9.1 , \mathrm {~s} = 1.5$. Test the null hypothesis that the mean of the population is 10 against the alternative hypothesis $\mu < 10$. Use $\alpha = .05$.

A Sample of 6 Measurements, Randomly Selected from a Normally xˉ=9.1, s=1.5\bar { x } = 9.1 , \mathrm {~s} = 1.5xˉ=9.1, s=1.5

A Sample of 6 Measurements, Randomly Selected from a Normally $\bar { x } = 9.1 , \mathrm {~s} = 1.5$