You are a journalist for a sketchy paper that is incredibly biased. You will get paid to write an article smearing a particular politician. Your journalistic integrity, however, means that you refuse to falsify data and will only report statistically conclusive evidence.
That politician claims to go on a 60 minute walk every day. You wonder if they are lying about this. If they are, you plan to write an article about it. If you find convincing evidence that the politician walks less than 60 minutes, the article will be about how the politician exaggerates their claims. If you find convincing evidence that they walk more than 60 minutes, the article will be about how they waste their entire day and aren't focused on their job.
You camp outside and record the number of minutes spent walking for 10 days.
71 61 59 55 62 63 67 52 71 62
Your goal is to publish a confidence interval for the true mean number of minutes spent by the politician on their daily walk. You want to ensure that your confidence interval shows CONVINCING EVIDENCE so that people will actually read your article.
Create a 95% confidence interval using the data above along with T-Interval on your calculator. Is there convincing evidence that the politician is lying?