A college football scout was interested in seeing if a football players height was a good predictor of how fast they were. He randomly sampled 15 different football players and recorded both their heights and their 40 yard dash times. For a person that was 6 ft 3 in tall, he computed a 99% confidence interval for mean speed to be (4.4, 4.8). Which of these options below is the best interpretation of this confidence interval?

a. It can be stated with 99% confidence that the mean speed for players who are 6 ft 3 in tall is between 4.4 and 4.8 seconds.
b. 99% of the time a player will run the 40 yard dash in between 4.4 and 48 seconds.
c. 99% of all players are 6ft 3in tall.
d. It can be stated with 99% confidence that out of the 15 football players sampled those who were oft 3in! tall averaged between 4.4 and 4.8 seconds in the 40 yard dash.

A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.

For a person that was 6 ft 3 in tall, he computed a 99% confidence interval for mean speed to be (4.4, 4.8). Which of these options below is the best interpretation of this confidence interval?

The the entire population(all people with this height), we are 99% confident that the mean is in this interval, so option a.