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Refer to the diagram shown below.
The value of z that yields the expected central area takes into account the excluded areas at both tails.
Half the tail area is α/2 = 0.08/2 = 0.04.
The central area is 1 - 0.04 - 0.04 = 0.92.
From standard normal tables, obtain
z(α/2) = 1.75
Answer: 1.75
The value of z that yields the expected central area takes into account the excluded areas at both tails.
Half the tail area is α/2 = 0.08/2 = 0.04.
The central area is 1 - 0.04 - 0.04 = 0.92.
From standard normal tables, obtain
z(α/2) = 1.75
Answer: 1.75
The average time of the 20 athletes who did not qualify for the final is 11.2 seconds .
<u>Step-by-step explanation:</u>
Here we have , Twenty-eight athletes participate in a 100-meter race. The time of each athlete is measured during the qualification round. The average time is 11 seconds. The 8 athletes with the fastest time qualified for the final. The average time of these 8 athletes is 10.5 seconds. Let's have equations for this:
where
are athletes
⇒
⇒
⇒
⇒ , where m is average time of the 20 athletes who did not qualify for the final.
⇒
⇒
⇒
∴ The average time of the 20 athletes who did not qualify for the final is 11.2 seconds .