Problem
The accompanying data set includes volumes (ounces) of a sample of cans of regular Coke. The summary statistics are $\mathrm{n}=36, \overline{\mathrm{x}}=12.201 \mathrm{oz}, \mathrm{s}=0.106 \mathrm{oz}$. Assume that a simple random sample has been selected. Use a 0.01 significance level to test the claim that cans of Coke have a mean volume of 12.00 ounces. Does it appear that consumers are being cheated? Click the icon to view the data set of regular Coke can volumes. Identify the null and alternative hypotheses. (Type integers or decimals. Do not round.) example Get more help Clear all Check answer
Solution
Step 1 ：The null hypothesis (H0) is the statement that the population mean is equal to a specified value. In this case, the specified value is 12.00 ounces. So, the null hypothesis is: H0: \(\mu = 12.00\) ounces
Step 2 ：The alternative hypothesis (H1) is the statement that the population mean is not equal to the specified value. So, the alternative hypothesis is: H1: \(\mu \neq 12.00\) ounces
Step 3 ：So, the null hypothesis (H0) is that the mean volume of cans of Coke is 12.00 ounces, and the alternative hypothesis (H1) is that the mean volume of cans of Coke is not 12.00 ounces.
