Question
In: Statistics and Probability
Problem 3. Americans average 6.9 hours of sleep on weeknights, according to a report released in...
Problem 3. Americans average 6.9 hours of sleep on weeknights, according to a report released in 2011 by the National Sleep Foundation. The Dean of Student Affairs at the College of the Canyons wondered if the average amount of sleep on weeknights is less for students at their college. She collected data from a survey of 90 randomly selected students at her college. Respondents averaged 6.4 hours of sleep a night with a standard deviation of 1.35 hours. Here is the Statcrunch calculator printout.
a. State the hypothesis using ?
H0:
Ha:
b.Verify that the conditions are met for using a t-distribution.
c.Calculate the standard error to verify the value provided by the Statcrunch output below.
d.Based on the calculated p-value, what is our conclusion?
Solutions
orchestra answered 2 years agoRelated Solutions
According to a 2011 report by the U.S. Department of Labor, civilian Americans spend 2.75 hours...
According to a 2011 report by the U.S. Department of Labor,
civilian Americans spend 2.75 hours per day watching television. A
faculty researcher, Dr. Sameer, at California Polytechnic State
University (Cal Poly) conducts a study to see whether a
differentaverage applies to Cal Poly students. He
surveys a random sample of 100 Cal Poly students and finds the mean
number of hours spent watching TV is 3.07 hours. The sample
standard deviation is 1 hours. The sample distribution is not...
Sleep deprivation, CA vs. OR. According to a report on sleep deprivation by the Centers for...
Sleep deprivation, CA vs.
OR.
According to a report on sleep deprivation by the Centers for
Disease Control and Prevention, the proportion of California
residents who reported insufficient rest or sleep during each of
the preceding 30 days is 8
%, while this proportion is 9.2% for Oregon residents. These
data are based on simple random samples of 11744 California and
4725 Oregon residents. Calculate a 96% confidence interval for the
difference between the proportions of Californians and Oregonians
who...
{Exercise 3.29 (Algorithmic)} The results of a national survey showed that on average, adults sleep 6.9...
{Exercise 3.29
(Algorithmic)}
The results of a national survey showed that on average, adults
sleep 6.9 hours per night. Suppose that the standard deviation is 1
hours.
Round your answers to the nearest whole number.
Use Chebyshev's theorem to
calculate the percentage of individuals who sleep between 4.9 and
8.9 hours.
At least %
Use Chebyshev's theorem to
calculate the percentage of individuals who sleep between 3.9 and
9.9 hours.
At least %
Assume that the number of
hours of...
We know that the population distribution for the number of hours that Americans sleep per night...
We know that the population distribution for the number of hours
that Americans sleep per night is normally distributed with a mean
of 6.7 and a standard deviation of 1.4. a) What is the probability
that a single, randomly draw observation (i.e., American) from this
distribution sleeps less than 5 hours per night? b) What is the
probability that a randomly drawn observation falls between 6 and 8
hours per night? c) What is the probability that a randomly draw...
Sleep: Assume the general population gets an average of 7 hours of sleep per night. You...
Sleep: Assume the general population gets an
average of 7 hours of sleep per night. 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 6.89 hours
with a standard deviation of 0.25 hours. You claim that college
students get less sleep than the general population. That is, you
claim the mean number of hours of sleep for all college students is
less...
Average Sleep Time on a School Night Students 4 hours 8 5 hours 9 6 hours...
Average Sleep Time on a School Night
Students
4 hours
8
5 hours
9
6 hours
14
7 hours
12
8 hours
15
9 hours
4
10 hours
0
Ho: 72.7% of high school students (grade 9-12) do not get enough
sleep at night. (minimum 8 hours) (article claim)
Ha: 72.7% of high school students (grade 9-12) do get enough
sleep at night.
Record the hypothesis test. Use 5% level of significance Include
95% confidence interval on solution sheet.
Create...
Average Sleep Time on a School Night Students 4 hours 8 5 hours 9 6 hours...
Average Sleep Time on a School Night
Students
4 hours
8
5 hours
9
6 hours
14
7 hours
12
8 hours
15
9 hours
4
10 hours
0
Ho: 72.7% of high school students (grade 9-12) do not get enough
sleep at night. (minimum 8 hours)
Ha: 72.7% of high school students (grade 9-12) do get enough
sleep at night.
Sample size:
Sample mean:
Sample deviation:
Record the hypothesis test. Use 5% level of significance Include
95% confidence interval...
a) The average nightly sleep time for adults is 7.4 hours a night with a standard...
a) The average nightly sleep time for adults is 7.4 hours a
night with a standard deviation of 2.3 hours. A researcher suspects
that college students’ sleep time may vary from this average. She
surveys a sample of 12 college students and obtains the following
nightly sleep times for this sample:
Participant/Sleep Time (hours)
A - 3
B - 4.5
C - 9
D - 7
E - 8
F - 5
G - 6
H - 4
I -...
Jane wishes to investigate the association between the average length of sleep in hours and an...
Jane wishes to investigate the association between the average
length of sleep in hours and an NUS student’s Cumulative Average
Point (CAP). She collated responses from 250 undergraduates, found
the correlation to be 0.87, and established a linear regression
equation of CAP (y) against the length of sleep (x):
y=0.5x+0.5
Which of the following is true?
A) If we group the data into different faculties and we take the
average C.A.P and average length of sleep per faculty, we will...
B: According US News, about 28% of Americans claim that they do not get enough sleep....
B: According US News, about 28% of Americans claim that they do
not get enough sleep. Gallup feels that 28% is a low value so they
conducted a poll that found that 30% of a random sample of 801
Americans responded that they do not get enough sleep. Perform an
appropriate hypothesis test using α=0.05. Be sure to include the
following:
State the null and alternative hypotheses in symbols and words.
Assume conditions have been met. (2 pts.)
Perform your...
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