The weights at birth of five randomly chosen baby Orca whales were 425, 454, 380, 405, and 426 pounds. Assume the distribution of weights is normally distributed. Find a 95% confidence interval for the mean weight of all baby Orca whales. Use technology for your calculations. Give the confidence interval in the form "estimate ± margin of error." Round to the nearest tenth of a pound.
A)384.0 ± 68.0 pounds
B)There is not enough information given to calculate the confidence interval.
C)418.0 ± 34.0 pounds
D)418.0 ± 34.5 pounds

Question

Quizplus · Accepted Answer

The sample mean is 418 pounds, and using the t-distribution for a small sample size with a 95% confidence level, the margin of error is approximately 34 pounds.

The Weights at Birth of Five Randomly Chosen Baby Orca