(1 point) Using diaries for many weeks, a study on the lifestyles of visually im

Question

(1 point) Using diaries for many weeks, a study on the lifestyles of visually impaired students was conducted. The students kept track of many lifestyle variables including how many hours of sleep obtained on a typical day. Researchers found that visually impaired students averaged 8.04 hours of sleep, with a standard deviation of 1.82 hours. Assume that the number of hours of sleep for these visualy impaired students is normally distributed (a) What is the probability that a visually impaired student gets less than 6.8 hours of sleep? answer. (b) What is the probability that a visually impaired student gets between 6 and 10.44 hours of sleep? answer.

Explanation / Answer

A)

P(X>50) = P(Z > 50-45/7)

= P(Z > 0.7143)

= 0.2375

B)

P(X < 37) = P(Z < 37-45/7)

= P(Z < -1.1429)

= 0.1265

C)

P(37<X<53) = P(X < 53) - P(X < 37)

= P(z < 53 - 45/7) - P(Z <-1.1429)

= P(Z < 1.1429) - P(Z < -1.1429)

= 0.2531

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