The document presents a statistical analysis based on a random sample of 4 observations from a normal population. It seeks to estimate the population mean with 90% confidence using the sample mean of 150 and standard deviation of 64, and then repeats the estimation assuming a population standard deviation of 24. Two different confidence intervals will be derived in the process.

1. A random sample of 4 observations was drawn from a normal population. The sample same and
standard deviation are X = 150 and s = 64. i) Estimate the population mean with 90%
confidence. ii) Repeat part i) assuming the population standard deviation = 24.