Final answer:
The power of the test can be calculated using statistical software or online calculators designed for power analysis, taking into account factors such as sample size, significance level, effect size, and variability of the data.
Step-by-step explanation:
The given question is asking about the power of a test to determine whether the true average weight of 10-ounce packages of cookies is 10 ounces, when the average is actually 11.5 ounces.
To find the power of the test, we need to determine the probability of rejecting the null hypothesis (that the true average is 10 ounces) when the alternative hypothesis (that the true average is 11.5 ounces) is true.
The power of a test is influenced by several factors, including the sample size, the significance level, the effect size, and the variability of the data. In this case, the sample size is 9, the significance level is 0.05, the effect size is the difference between the true average and the hypothesized average (11.5 - 10 = 1.5), and the variability of the data is given by the standard deviation of 1.5 ounces.
To calculate the power of the test, we can use statistical software or online calculators specifically designed for power analysis. These tools take into account the factors mentioned above to determine the power of the test. The power of a test can range from 0 to 1, with a higher value indicating a higher probability of correctly rejecting the null hypothesis when it is false.