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One fitness test for high school boys is the mile run. The times for all high school boys are approximately normally distributed with mean 450 seconds (seven and a half minutes) and standard deviation 40 seconds. Determine the following probabilities
a) A randomly sampled school boy will run the mile slower than 6 minutes.
b) A randomly sampled school boy will run the mile faster than 8 minutes.
c) Three independently random sampled persons will all run between 7 and 9 minutes.
d) A physical-fitness association wants to designate the fastest 5% as "excellent". What time should the association set for this criteria?
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Design an experiment. The previous two exercises illustrate the use of statistically designed experiments to answer questions that arise in everyday life.
The pressure exerted by electromagnetic radiation in thermal equilibrium (called black body radiation) is P = 1 K T4, 3 u where Ku = 7.56 × 10-16 J K-4 m-3.
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A) Determine the probability that at least 4 of the 155 golfers would get a hole in one on the sixth hole. Discuss
ten randomly selected automobiles were stopped and the tread depth of the right tire was measured. the mean was 0.8 cm
Is the probability that buyer 2 wins the auction equal to 1?- Compute the seller's expected revenue if the buyers implement the strategies (β1, β2).
What is the probability that the first time the sum is exactly 7 is on the third roll?
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The researcher expects a 12-point treatment effect and plans to use a two-tailed hypothesis test with a = 0.05.
There is a virus spreading across the population of a country. There are no obvious symptoms, so it is not possible to determine if someone is a carrier unless they are given a blood test. Medical officials want to study an individual who is carry..
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