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A random sample of 49 drinks from a beverage-dispensing machine gave an average of 12.2 ounces with a standard deviation of 0.7 ounces. At a 5% level of significance can you conclude that the true mean beverage dispensed by the machine is more than 12 ounces?

How large a sample is needed to obtain a 95% confidence interval for the true mean amount dispensed by the machine within an error bound of 0.1?

Can you conclude that the true mean value dispensed by the machine is more than 12 ounces? Use α = 0.01

Please show all work. Thank you.

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