A journal published a study of the lifestyles of visually impaired students. Using diaries, the students kept track of several variables, including number of hours of sleep obtained in a typical day. These visually impaired students had a mean of 9.71 hours and a standard deviation of 2.06 hours. Assume that the distribution of the number of hours of sleep for this group of students is approximately normal. Complete parts a through c. a. Find P(x > 12). P(x> 12) = 0.1331 (Round to four decimal places as needed.) b. Find P(8

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A journal published a study of the lifestyles of visually impaired students. Using​ diaries, the students kept track of several​ variables, including number of hours of sleep obtained in a typical day. These visually impaired students had a mean of

9.71

hours and a standard deviation of

2.06

hours. Assume that the distribution of the number of hours of sleep for this group of students is approximately normal. Complete parts a through c.

### Study of Sleep Patterns Among Visually Impaired Students

A journal published a study examining the lifestyles of visually impaired students. Through the use of diaries, the students documented various aspects, including the number of hours of sleep obtained during a typical day. The collected data showed that these visually impaired students had an average sleep duration of 9.71 hours with a standard deviation of 2.06 hours. Given that the distribution of sleep hours follows a normal distribution, we explore the following probabilities:

#### a. Probability that the number of hours of sleep is greater than 12 hours (P(x > 12))

- To find P(x > 12):
  - P(x > 12) = 0.1331 (rounded to four decimal places)

#### b. Probability that the number of hours of sleep is between 8 and 10 hours (P(8 < x < 10))

- To find P(8 < x < 10):
  - P(8 < x < 10) = _______ (round to four decimal places as needed)

Please ensure that you use a normal distribution table or appropriate statistical software to compute these probabilities accurately. These findings can provide valuable insights into the sleep patterns and needs of visually impaired students, potentially guiding future studies and interventions aimed at improving their well-being.
Transcribed Image Text:### Study of Sleep Patterns Among Visually Impaired Students A journal published a study examining the lifestyles of visually impaired students. Through the use of diaries, the students documented various aspects, including the number of hours of sleep obtained during a typical day. The collected data showed that these visually impaired students had an average sleep duration of 9.71 hours with a standard deviation of 2.06 hours. Given that the distribution of sleep hours follows a normal distribution, we explore the following probabilities: #### a. Probability that the number of hours of sleep is greater than 12 hours (P(x > 12)) - To find P(x > 12): - P(x > 12) = 0.1331 (rounded to four decimal places) #### b. Probability that the number of hours of sleep is between 8 and 10 hours (P(8 < x < 10)) - To find P(8 < x < 10): - P(8 < x < 10) = _______ (round to four decimal places as needed) Please ensure that you use a normal distribution table or appropriate statistical software to compute these probabilities accurately. These findings can provide valuable insights into the sleep patterns and needs of visually impaired students, potentially guiding future studies and interventions aimed at improving their well-being.
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