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. 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.

Step-by-step explanation:

x% confidence interval:

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.

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is