Thirty-four men completed the men’s alpine downhill part of the super combined. The gold medal winner finished in 114.9 seconds. Here are the times (in seconds) for all competitors.

a) The mean time was 116.085 seconds, with a standard deviation of 1.9215 seconds. If the Normal model is appropriate, what percent of times will be less than 114.163 seconds?
b) What is the actual percent of times less than 114.163 seconds?
c) Why do you think the two percentages don’t agree?
d) Make a histogram of these times. What do you see?

Transcribed Image Text:

114.9 114.2 114.3 113.2 116.2 114.7 113.4 114.4 113.9 115.3 114.9 115.2 113.6 115.4 114.5 116.4 115 114.5 116.7 116.2 115.5 116.2 118.7 116.6 117.2 117.6 119.8 119.8 119.6 116 117.1 118.5 119.4 118