Suppose that the times to complete an obstacle course are normally distributed with an unknown mean and standard deviation. A random sample of 18 course times is taken and gives a sample mean of 105 seconds and a sample standard deviation of 18 seconds.
df t0.10 t0.05 t0.025 t0.01 t0.005
14 1.345 1.761 2.145 2.624 2.977
15 1.341 1.753 2.131 2.602 2.947
16 1.337 1.746 2.120 2.583 2.921
17 1.333 1.740 2.110 2.567 2.898
18 1.330 1.734 2.101 2.552 2.878
Find the ME, margin of error, for a 98% confidence interval estimate for the population mean using the Student's t-distribution. Use the portion of the table above. Round the final answer to two decimal places.
Provide your answer below: