Assume that from a sample of $100$ tires the tire pressure has a $95\%$ confidence interval given by $32$ Pounds Per Square $($PSI$)$ Inch $+3$ PSI.

What is the Error Term?

What are Upper and Lower values of the confidence interval?

What is the Standard Error?

What are the Upper and Lower values for a $99\%$ Confidence Interval?

Discuss about the probability that another data sample of $100$ tires would show a sample mean equal to $38$ PSI with explanations please thank you