1. When estimating an unknown population mean , which estimator is superior, the point estimate or a 95% confidence interval? Briefly explain and Justify your answer.

2. Would you use a two-sample t-Test or paired t-Test to analyse the following study? Please write down your reasons.

Fifty-six cars were selected for an experiment and randomly allocated into two groups. One group of twenty-eight cars was filled with Fuel 1, and the other of twenty-eight cars were filled with Fuel 2. Each of the cars was driven until it ran out of fuel. The distance that each of the cars had driven was recorded in kilometers.

Research Question Was there, on average, any difference in distance traveled using Fuel 1 compared to Fuel 2?

3.A 95% confidence interval for the slope of a regression line is (-1.05, -0.15), do you think you have evidence to reject the null hypothesis that there is no relationship between the response and the predictor variables? Please justify your answer.