Question

A recent study found that the death rate for people who sleep 6 to 7 hours per night is lower than the death rate for people who sleep 8 or more hours per night. The 1.1 million observations used for the study come from a random survey of Americans aged 30 to 102. Each survey respondent was tracked for 4 years. The death rate for people sleeping 7 hours was calculated as the ratio of the number of deaths over the span of the study among people sleeping 7 hours to the total number of survey respondents who slept 7 hours. The calculation was then repeated for people sleeping 6 hours, and so on. Based on this summary, would you recommend that Americans who sleep 9 hours per night consider reducing their sleep to 6 or 7 hours if they want to prolong their life? Why or why not? Explain.

Answer #1

1. According to one study, the average hours of sleep on a
weeknight for men was 6.9 hours with a standard deviation of 1.5
hours.
a. Find the proportion of men who sleep for more than 8 hours
per night.
b. Find the proportion of men who sleep for less than 6 hours
per night.
c. Find the proportion of men who sleep between 6-8 hours per
night.
d. Find the number of hours that represents the 90th
percentile.

A survey was conducted to determine whether hours of sleep per
night are independent of age. A sample of individuals was asked to
indicate the number of hours of sleep per night with categorical
options: fewer than 6 hours, 6 to 6.9 hours, 7 to 7.9 hours, and 8
hours or more. Later in the survey, the individuals were asked to
indicate their age with categorical options: age 39 or younger and
age 40 or older. Sample data follow.
Hours...

A survey was conducted to determine whether hours of sleep per
night are independent of age. A sample of individuals was asked to
indicate the number of hours of sleep per night with categorical
options: fewer than 6 hours, 6 to 6.9 hours, 7 to 7.9 hours, and 8
hours or more. Later in the survey, the individuals were asked to
indicate their age with categorical options: age 39 or younger and
age 40 or older. Sample data follow.
Hours...

Sleep – College Students: Suppose you perform a
study about the hours of sleep that college students get. You know
that for all people, the average is about 7 hours. You randomly
select 40 college students and survey them on their sleep habits.
From this sample, the mean number of hours of sleep is found to be
6.1 hours with a standard deviation of 0.97 hours. You want to
construct a 99% confidence interval for the mean nightly hours of...

Sleep – College Students: Suppose you perform a study about
the hours of sleep that college students get. You know that for all
people, the average is about 7 hours. You randomly select 45
college students and survey them on their sleep habits. From this
sample, the mean number of hours of sleep is found to be 6.1 hours
with a standard deviation of 0.86 hours. You want to construct a
99% confidence interval for the mean nightly hours of...

Sleep – College Students: Suppose you perform a
study about the hours of sleep that college students get. You know
that for all people, the average is about 7 hours. You randomly
select 45 college students and survey them on their sleep habits.
From this sample, the mean number of hours of sleep is found to be
6.1 hours with a standard deviation of 0.97 hours. You want to
construct a 99% confidence interval for the mean nightly hours of...

The National Sleep Foundation used a survey to determine whether
hours of sleeping per night are independent of age
(Newsweek, January 19, 2004). The following show the hours
of sleep on weeknights for a sample of individuals age 49 and
younger and for a sample of individuals age 50 and older.
Age
Hours of sleep- fewer than 6
6 to 6.9
7 to 7.9
8 or more
Total
49 or younger
34
62
72
72
240
50 or older
37...

The National Sleep Foundation used a survey to determine whether
hours of sleeping per night are independent of age (Newsweek,
January 19, 2004). The following show the hours of sleep on
weeknights for a sample of individuals age 49 and younger and for a
sample of individuals age 50 and older. Hours of Sleep Age Fewer
than 6 6 to 6.9 7 to 7.9 8 or more Total 49 or younger 40 61 77 62
240 50 or older 33...

The National Sleep Foundation used a survey to determine whether
hours of sleeping per night are independent of age (Newsweek,
January 19, 2004). The following show the hours of sleep on
weeknights for a sample of individuals age 49 and younger and for a
sample of individuals age 50 and older.
Hours of Sleep Age Fewer than 6 6 to 6.9 7 to 7.9 8 or more
Total 49 or younger 32 62 77 69 240 50 or older 39...

The National Sleep Foundation used a survey to determine whether
hours of sleeping per night are independent of age (Newsweek,
January 19, 2004). The following show the hours of sleep on
weeknights for a sample of individuals age 49 and younger and for a
sample of individuals age 50 and older.
Hours of Sleep
Age
Fewer than 6
6 to 6.9
7 to 7.9
8 or more
Total
49 or younger
40
65
70
65
240
50 or older
31...

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