Ms. Greene is interested in determining the amount of time it takes to solve a calculus problem. She takes a simple random sample of 40 calculus problems and finds the mean to be 6.8 minutes. The sample standard deviation is 1.6 minutes. Construct a 95% confidence interval for the true mean time it takes to solve a calculus problem.
The sample mean is
.
The standard deviation is
.
The sample size is
.
The degrees of freedom are
The critical value, t subscript alpha over 2 end subscript, for the interval is
.
The lower bound for the interval is
minutes. Round your answer to TWO DECIMAL PLACES.
The upper bound for the interval is
minutes. Round your answer to TWO DECIMAL PLACES.