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In: Statistics and Probability

Another researcher found that the hours of sleep for female students is normally distributed with a...

Another researcher found that the hours of sleep for female students is normally distributed with a mean of 7.17 hours and a standard deviation of 16 minutes.

  1. (1 mark) What is the probability that a randomly selected female student at the college sleep less than 7.28 hours? (4dp) Answer

  2. What is the probability that a randomly selected female student at the college sleep more than 7.15 hours? (4dp) Answer

  3. What is the probability that a randomly selected female student at the college sleeps between 7.06 and 7.39 hours? (4dp) Answer

  4. (1 mark) If the hours of sleep for a female student was on the 65th percentile, how many hours would she be sleeping? (2dp) Answer hours

  5. In a sample of 41 female students, how many of them would be expected to sleep more than 7.15 hours? (2 dp)

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