Question

Please help me. Will mark brainliest. A.S.A.P

Answer 1

Answer:

D. 274

Step-by-step explanation:

A normal distribution of the scores is assumed. In the figure attached, the standard normal distribution table is shown.

If only top 5% of athletes are part of the team, then we need to find the value of the table which has a probability of 95%, that value is between 1.64 and 1.65, so we interpolate it as 1.645. The table was made for a variable with mean = 0 and standard deviation (sd) equal to 1, therefore to refer the result to our variable we compute:

1.645 = (x - mean)/sd

x = 1.645*sd + mean

x = 1.645*15 + 250 ≈ 274

So, 95% of the scores are below 274, then 274 is the minimum qualifying score