please help asap

Answer the following questions on the Writeup.pdf - (reminder! you will upload this .pdf to Gradescope) Use and submit the given problem3.py file for your code You are working for a startup that has now built several prototype robots. The following dataset of the weight of the robots: [196.8,196.7,189.4,196.6,173.5,195.2,217.9,195.2,194.3,211.2,201.0,197.1,209.1,207.3,206.4 ,195.2,190.1,203.2,194.1,201.8] 1. Use the sample to construct a 90% confidence interval for the weight of the robots on average. Report whether you will use a z-test or t-test and report the sample mean, the standard error, the standard statistic (t or z value), and the interval. (Think, which distribution should you use here if very few datapoints are available?) 2. Repeat Q1 for a 95% confidence interval. What is the standard statistic (t or z value) and what is the interval? Is your interval wider or narrower compared to using the 90% confidence interval? 3. Repeat part 2 if you are told that the population standard deviation is 10 . (Think, which distribution should you use here now that you have the true population standard deviation?). Report whether you will use a z-test or ttest and the values for the sample mean, standard error, standard statistic, and confidence interval. Is your interval wider or narrower than the interval computed in Q2? 1. Use the sample to construct a 90% confidence interval for the weight of the robots on average. Report whether you will use a z-test or t-test and report the sample mean, the standard error, the standard statistic (t or z value), and the interval. (Think, which distribution should you use here if very few datapoints are available?) Will you use a t-test or z-test (Hint: Think which distribution should you use here if very few data points are available)? Justify your answer. 2. Repeat Q1 for a 95% confidence interval. **"*"*"ROUND ALL DECIMAL VALUES TO 4 DECIMAL PLACES* *"* (For the following, fill the box next to your selected answer) Is your interval wider or narrower compared to using the 90% confidence interval in Q1? Wider Narrower 3. Repeat Q2 if you are told that the population standard deviation is 10. Will you use a t-test or z-test (Hint: Think which distribution should you use here now that you have the true population standard deviation)? Justify your answer. Is your interval wider or narrower than the interval computed in Q2? (Fill Box to select your answer) Wider Narrower