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.

i did it myself and i got 4.2 (b) hope its right

step-by-step explanation:

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).