Question

Swimmers on a 4x100 relay team each swim 100 meters, and their individual times are totaled to form their overall team time. a particular team records how long it takes each swimmer to complete their portion of the race each time they swim 100 meters in practice and competitions. here are summary statistics for each swimmer's times: swimmer mean (sec.) standard deviation (sec.) allie \[\mu_a=65\] \[\sigma_a=2\] layla \[\mu_l=60\] \[\sigma_l=5\] carmen \[\mu_c=70\] \[\sigma_c=4\] sharifa \[\mu_s=55\] \[\sigma_s=3\] let \[t=\] the total time it takes this team to finish a randomly selected 4x100 relay. find the mean of \[t\]?

Answer 1

The mean of t, the total time for the 4x100 relay team, is found by summing the mean times of the individual swimmers: 65+60+70+55 seconds, resulting in a mean team time of 250 seconds.

Step-by-step explanation:

To find the mean of t, the total time it takes a 4x100 relay team to finish, you need to sum up the mean times of individual swimmers. We have the mean times for each swimmer as Allie (μ_a=65 sec.), Layla (μ_l=60 sec.), Carmen (μ_c=70 sec.), and Sharifa (μ_s=55 sec.).

The mean of t is the total of these individual mean times:

• Allie's Mean Time = 65 seconds
• Layla's Mean Time = 60 seconds
• Carmen's Mean Time = 70 seconds
• Sharifa's Mean Time = 55 seconds

Add these times together to find the mean total time for the team (μ_t):

μ_t = μ_a + μ_l + μ_c + μ_s

μ_t = 65 + 60 + 70 + 55

μ_t = 250 seconds

Therefore, the mean time for the team to complete the 4x100 relay is 250 seconds.