First you need to collect a small data set in the following way. Record, to the
ID: 3127060 • Letter: F
Question
First you need to collect a small data set in the following way.
Record, to the nearest quarter of an hour, how many hours you slept in the past 24 hours.
10.5 Hours // Myself
Ask 3 more adults (in your family, in your classroom, at work, in the neighborhood, etc) how many hours of sleep they got in the past 24 hours and record their answers here to the nearest quarter of an hour.
10 Hours // Person 1
5 Hours // Person 2
6.5 Hours // Person 3
Use your data set and the results of the following survey to answer the questions that follow: USING THE TI-84 CALCULATOR Make sure you include your calculator command or your formula that you use to answer each question.
Questions:
1. What percent of adults from the survey slept longer than you did?
2. How long did the person who slept the least in your data set (other than you) sleep? What percent of adults from the survey slept less than this person?
3. How long did the person who slept the most in your data set (other than you) sleep? What percent of adults from the survey slept more than this person?
4. A colleague at your work came late to the meeting this morning. He said that he overslept. When you asked, he reported that he slept about 8.5 hours. What percent of adults from the survey slept less than this person?
5. Your boss, setting an example for the employees, said that he slept 6.75 hours last night to prepare for the meeting. What percent of adults from the survey slept longer than the boss?
6. What percent of data in the survey lies in the interval from 5.5 hours to 8.5 hours?
7. What interval about the mean includes 95% of the data in the survey?
8. What interval about the mean includes 50% of the data in the survey?
9. 30% of adults in the survey sleep less than how many hours of sleep?
10. 10% of adults in the survey sleep more than how many hours of sleep?
Q SurveY A previous study administered to US adults showed that the amount of sleep (in hours) they get in a 24-hour period is normally distributed with a mean of 7 hours and a standard deviation of 1.25 hours.Explanation / Answer
1. What percent of adults from the survey slept longer than you did?
= P ( X > 10.5)
= 0.002555
= 0.255%
2. How long did the person who slept the least in your data set (other than you) sleep? What percent of adults from the survey slept less than this person?
Ans: 5 hours
P ( X < 5)
= 0.05479
= 5.479%
3. How long did the person who slept the most in your data set (other than you) sleep? What percent of adults from the survey slept more than this person?
= 10 hours
P (X > 10)
= 0.008198
= 0.819%
4. A colleague at your work came late to the meeting this morning. He said that he overslept. When you asked, he reported that he slept about 8.5 hours. What percent of adults from the survey slept less than this person?
= P ( X < 8.5)
= 0.88493
= 88.493%
5. Your boss, setting an example for the employees, said that he slept 6.75 hours last night to prepare for the meeting. What percent of adults from the survey slept longer than the boss?
= P ( X > 6.75)
= 0.57926
= 57.926%
6. What percent of data in the survey lies in the interval from 5.5 hours to 8.5 hours?
= P ( 5.5 < X < 8.5)
= 0.7698
= 76.98%
7. What interval about the mean includes 95% of the data in the survey?
= 4.55 hours to 9.45 hours
8. What interval about the mean includes 50% of the data in the survey?
= 6.16 hours to 7.84 hours
9. 30% of adults in the survey sleep less than how many hours of sleep?
= 6.34 hours
10. 10% of adults in the survey sleep more than how many hours of sleep?
= 8.60 hours
Hope this helps. Ask if you have doubts
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