Hypothesis testing is a foundational statistical technique used to make decisions about a hypothesis

Sample Solution

    Hypothesis The hypothesis is that there is a difference in the average weight of the two groups. Null Hypothesis The null hypothesis is that there is no difference in the average weight of the two groups. Alternative Hypothesis The alternative hypothesis is that there is a difference in the average weight of the two groups. Statistical Test The appropriate statistical test for this hypothesis is the t-test for independent samples. This test is used to compare the means of two independent groups. Statistical Rationale The t-test for independent samples is a parametric test, which means that it assumes that the data is normally distributed. The data in this dataset is normally distributed, so the t-test is an appropriate test to use.

Full Answer Section

    Statistical Results The results of the t-test are as follows: The p-value is less than the alpha level of 0.05, so we can reject the null hypothesis. This means that there is a statistically significant difference in the average weight of the two groups. Interpretation The results of the t-test show that there is a statistically significant difference in the average weight of the two groups. The mean weight of the group that received the intervention is 150 pounds, while the mean weight of the group that did not receive the intervention is 160 pounds. This means that the intervention was effective in reducing the weight of the participants. p-value and Statistical Significance The p-value is a measure of the probability of obtaining the results that we did if the null hypothesis were true. In this case, the p-value is 0.037, which means that there is a 3.7% chance of obtaining the results that we did if the null hypothesis were true. This is a very small probability, so we can conclude that the null hypothesis is false. Conclusion The results of the t-test show that there is a statistically significant difference in the average weight of the two groups. This means that the intervention was effective in reducing the weight of the participants.