Question

**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 for all college students.

(a) What is the point estimate for the mean nightly hours of
sleep for all college students?

hours

(b) Construct the 99% confidence interval for the mean nightly
hours of sleep for all college students. **Round your answers
to 1 decimal place.**

< *μ* <

(c) Are you 99% confident that the mean nightly hours of sleep for
all college students is below the average for all people of 7 hours
per night? Why or why not?

Yes, because 7 is above the upper limit of the confidence interval for college students.

No, because 7 is below the upper limit of the confidence interval for college students.

Yes, because 7 is below the upper limit of the confidence interval for college students.

No, because 7 is above the upper limit of the confidence interval for college students.

(d) We are never told whether or not the parent population is
normally distributed. Why could we use the above method to find the
confidence interval?

Because the sample size is less than 100.

Because the margin of error is positive.

Because the margin of error is less than 30.

Because the sample size is greater than 30.

Answer #1

(a)

The point estimate of mean = 6.1

(b)

We need to construct the 99% confidence interval for the population mean \muμ. The following information is provided:

Sample Mean = | 6.1 |

Sample Standard Deviation (s) = | 0.97 |

Sample Size (n) = | 40 |

The critical value for α=0.01 and df=n−1=39 degrees of freedom is . The corresponding confidence interval is computed as shown below:

(c)

**Yes, because 7 is above the upper limit of the
confidence interval for college students.**

(d)

**Because the sample size is greater than 30.**

**Let me know in
the comments if anything is not clear. I will reply ASAP! Please do
upvote if satisfied!**

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...

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 35 college students and survey
them on their sleep habits. From this sample, the mean number of
hours of sleep is found to be 6.2 hours with a standard deviation
of 0.97 hours. You want to construct a 99% confidence interval for
the mean nightly hours of sleep for all college...

Suppose you perform a study about the hours of sleep that
college students get. You know that for all people, the average is
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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 35 college students and survey
them on their sleep habits. From this sample, the mean number of
hours of sleep is found to be 6.2 hours with a standard deviation
of 0.97 hours. We want to construct a 99% confidence interval for
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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 50 college students and survey them on their sleep habits.
From this sample, the mean number of hours of sleep is found to be
6.2 hours with a standard deviation of 0.97 hours. We want to
construct a 95% 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 6.2 hours
with a standard deviation of 0.97 hours. We want to construct a 95%
confidence interval for the mean nightly hours of...

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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 6.2 hours with a standard
deviation of 0.97 hours. We want to construct a 95% confidence
interval for the mean nightly hours of...

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 35 college students and survey
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