The table below contains the birth weights in grams of 26 African American babies born at Bay State Medical Centre in Springfield, Massachusetts, in 1986. Compute a 95% confidence interval for birth weight.

.Find the point estimate for the population mean of birth weights. That is, find x. Round your answer to two decimal places.

1. Determine the critical t-value. Round your answer to 4 decimal places.
2. Find the margin of error for the confidence interval. Round your answer to one decimal place.
3. Construct the confidence interval for birth weights. Enter your answer as an open interval of the form (a, b) and round to the nearest integer.