r mat-102-o Homework 11: Problem 1 Up Next (10 pts) Using diaries for many weeks

Question

r mat-102-o Homework 11: Problem 1 Up Next (10 pts) 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 sieep obtained on a typical day. Researchers found that visually impaired students averaged 9.83 hours of sleep, with a standard deviation of 1.93 hours. Assume that the number of hours of sleep normally distributed. for these visually impaired students is m 1 (a) What is the probablity that a visually impaired student gets at most 6 hours of sleep? Express your answer as a percent rounded to 2 decimal places e g. 1 23% Do not include the % symbol in your answer. play Options (b) What is the probability that a visually impaired student gets between 6.6 and 9.83 hours of sleep? Express your rounded to 2 decimal places e g 1.23% Do not include the % symbol in your answer d answers? Answer (o) What is the probability that a visually impaired student gets at least 8.6 hours of sleep? Express your answer as a percent rounded to 2 decimal places, eg 1 23% Do not include the % symbol in your answer. Answer (d) What is the sleep time that cuts off the top 25% of sleep hours? Round

Explanation / Answer

a)

( please try 2.39% if above does not work due to rounding)

b)

  ( please try 45.25% if above does not work due to rounding)

c)

~ 73.80%

( please try 73.89% if above does not work due to rounding)

d) for tiop 25% ; z =0.6745

hence value =mean +z*std deviation =11.13

( please try 11.12 if above does not work due to rounding)

for normal distribution z score =(X-)/ here mean=       = 9.83 std deviation   == 1.9300

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