Introduction to Stats

Question

If n=16, ¯x (x-bar)=37, and s=15, construct a confidence interval at a 98% confidence level. Assume the data came from a normally distributed population.

Give your answers to one decimal place.

 ___< μ < _____

Answer 1

Since we can assume the data is from a normal distribution,and our n=16, which < 30, we need 2 use the values from a t-distribution in our formula to calculate any confidence interval. Here is that formula: Confidence Interval = x̄ ± t_α/2(S/√n). For a 98% interval you need to find the T value for alpha/2= 0.02/2=0.01.

You have all the number to plug in the formula, so I'll let you finish this problem.