To better assess your willingness-to-pay for advertising on others' websites, you want to learn the mean profit per visit for all visits to your website. To accomplish this, you have collected a random sample of 4,738 visits to your website over the past six months. This sample includes information on visit duration and profits. The data are contained in WebProfits Google Sheet (See link to google sheet below).Using the data in WebProfits Google Sheet:

1. Build a 99% confidence interval for the mean profit per visit for all of your visitors.
2. Let the null hypothesis be that mean profit per visit for all of your visitors is $11.50.
3. Calculate the corresponding t-stat for this null hypothesis.
4. Calculate the corresponding p-value for this null hypothesis.
5. With strength of 95%, decide whether or not to reject this null hypothesis.
6. Detail the reasoning behind your decision.

Please show work.

Link to WebProfit Google Sheet:

https://docs.google.com/spreadsheets/d/1wIXrncc93WxLTtzNg33-cMPXOYotagkqXqa90NFXZWc/edit?usp=sharing