I just finished my maths exam and I am sending the picture of question, It is divided into 2 parts first is MCQ and other is descriptive plz correct me for the MCQ and For the Desctiptive I will show i picture of the answers but some questions for descriptive I didnt to because i wasnt sure!

Arandom sample of 15 observations is used to estimate the population mean. the sample mean and the standard deviation are calculated as 172 and 63, respectively. assume that the population is normally distributed. a. with 99 confidence, what is the margin of error for the estimation of the population mean? b. construct the 99% confidence interval for the population mean. c. construct the 95% confidence interval for the population mean. d. construct the 83% confidence interval for the population mean. hint: you need to use excel function =t.inv.2t to find the value of t for the interval calculation.