Question

1.)The patient recovery time from a particular surgical procedure is normally distributed with a mean of 5.7 days and a standard deviation of 2.4 days. What is the 70th percentile for recovery times? (Round your answer to two decimal places.)

2.)Terri Vogel, an amateur motorcycle racer, averages 129.71 seconds per 2.5 mile lap (in a 7 lap race) with a standard deviation of 2.28 seconds. The distribution of her race times is normally distributed. We are interested in one of her randomly selected laps.†

• Find the percent of her laps that are completed in less than 132 seconds. (Round your answer to two decimal places.)
  %

• Part (d)

  The fastest 5% of her laps are under how many seconds? (Round your answer to two decimal places.)
  sec

• Part (e)

  Enter your answers to two decimal places.
  
  The middle 70% of her lap times are from  seconds to  seconds.

Answer 1

1)

Mean = = 5.7

Standard deviation = = 2.4

We have to find the 70th percentile for recovery times.

We have given P(X < x) = 0.70

z value for 0.70 is 0.52

We have to find value of x

The 70th percentile for recovery times is 6.95

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