statics

posted by .

The times for completing one circuit of a bicycle course are normally distributed with a mean of 81.7 minutes and a standard deviation of 8.6 minutes. An association wants to sponsor a race and provide prizes for the top (that is, fastest) 15% of riders. Where should they expect to set the cutoff time to earn a prize?

  • statistics -

    Z = (score-mean)/SD

    Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportion (.15) that correspond to a Z score. Insert Z score and other values into the above equation and solve for the score.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Stats

    Suppose the time it takes for a purchasing agent to complete an online ordering process is normally distributed with a mean of 8 minutes and a standard deviation of 2 minutes. Suppose a random sample of 25 ordering processes is selected. …
  2. statistics

    the times required to assemble a product part are normally distributed with a mean of 54.4 minutes & a standard deviation of 5.2 minutes. What fraction of the assemble workers require more than one hour?
  3. stats

    The time it takes to run a road race is normally distributed with a mean of 190 minutes and a standard deviation of 21 minutes. What values cuts off the slowest 12% of the racers?
  4. math

    The times for completing one circuit of a bicycle course are normally distributed with a mean of 81.7 minutes and a standard deviation of 8.6 minutes. An association wants to sponsor a race and provide prizes for the top (that is, …
  5. math

    The times for completing one circuit of a bicycle course are normally distributed with a mean of 81.7 minutes and a standard deviation of 8.6 minutes. An association wants to sponsor a race and provide prizes for the top (that is, …
  6. Q Research

    2. The average commute time via train from the Chicago O'Hare Airport to downtown is 60 minutes with a standard deviation of 15 minutes. Assume that the commute times are normally distributed. What proportion of commutes would be: …
  7. statistics

    Times for a surgical procedure are normally distributed. There are two methods. Method A has a mean of 28 Minutes and a standard deviation of 4 minutes, while B has a mean of 32 minutes and a standard deviation of 2 minutes. a)which …
  8. statistics

    Waiting times at a doctor office are normally distributed with a mean of 35 minutes, and a standard deviation of 10 minutes. What is the chance a patient would have to wait over 50 minutes?
  9. statistics

    Waiting times at a doctor office are normally distributed with a mean of 35 minutes, and a standard deviation of 10 minutes. 25% of the patients have to wait less than how many minutes?
  10. statistics

    Let x denote the time taken to run a road race. Suppose x is approximately normally distributed with a mean of 190 minutes and a standard deviation of 21 minutes. If one runner is selected at random, what is the probability that this …

More Similar Questions