Could you please just explain how to do q4-8. Explain the method, what formula to use and go through it in detail please.

Hypothesis Testing Now, the researchers want to compare differences between groups. Please use appropriate significance levels. In all cases you must report the critical value and the p-value. When appropriate, analysis should include a confidence interval to report results. 1. The average BMI of people in Ireland who class themselves as fit have a BMI of 23.5. Does theis data suggest that amateur athletes have an equal BMI to this? 2. Is there a difference in the 100m sprint times between athletes who regularly lift weights and athletes who don't? 3. Carry out an appropriate test to investigate if there was any weight loss in all the athletes after the six week period. What type of test is this? 4. Do the data suggest that the new diet intervention reduces the athlete's weight? 5. Is there a relationship between training in the gym regularly and average BMI? 6. Do the data provide evidence to indicate that the athlete's weight training is dependent on the athlete's diet? 7. It is estimated in Ireland that 50% of individuals have no diet preference, 35% of individuals now identify as vegetarian and 15% are now vegan. Do these athletes follow the same diet distribution as the Irish population? 8. Is there a difference in 400m sprint times between males and females? What type of error could you have made in this test? With what probability could you have made this error? Hypothesis Testing Now, the researchers want to compare differences between groups. Please use appropriate significance levels. In all cases you must report the critical value and the p-value. When appropriate, analysis should include a confidence interval to report results. 1. The average BMI of people in Ireland who class themselves as fit have a BMI of 23.5. Does theis data suggest that amateur athletes have an equal BMI to this? 2. Is there a difference in the 100m sprint times between athletes who regularly lift weights and athletes who don't? 3. Carry out an appropriate test to investigate if there was any weight loss in all the athletes after the six week period. What type of test is this? 4. Do the data suggest that the new diet intervention reduces the athlete's weight? 5. Is there a relationship between training in the gym regularly and average BMI? 6. Do the data provide evidence to indicate that the athlete's weight training is dependent on the athlete's diet? 7. It is estimated in Ireland that 50% of individuals have no diet preference, 35% of individuals now identify as vegetarian and 15% are now vegan. Do these athletes follow the same diet distribution as the Irish population? 8. Is there a difference in 400m sprint times between males and females? What type of error could you have made in this test? With what probability could you have made this error