Final answer:
To perform the hypothesis test, set up the null and alternative hypotheses, calculate the test statistic and standard error, and determine the critical value or p-value.
Step-by-step explanation:
To perform the hypothesis test, we need to set up the null and alternative hypotheses. The null hypothesis (H0) is that the average weight loss of participants in the weight-reduction program is 5 kg or less, while the alternative hypothesis (Ha) is that the average weight loss is more than 5 kg.
We can then calculate the test statistic, which is the difference between the sample mean and the hypothesized mean divided by the standard error. The standard error can be calculated as the standard deviation divided by the square root of the sample size.
Next, we determine the critical value or p-value associated with the chosen level of significance (e.g., 5%). If the test statistic exceeds the critical value or the p-value is less than the chosen significance level, we reject the null hypothesis in favor of the alternative hypothesis.