Question
In: Statistics and Probability
A sample of Alzheimer's patients is tested to assess the amount of time in stage IV...
A sample of Alzheimer's patients is tested to assess the amount of time in stage IV sleep these patients get in a 24-hour period. Number of minutes spent in Stage IV sleep is recorded for 61 patients. The mean stage IV sleep over a 24 hour period of time for these 61 patients was 48 minutes with a standard deviation of 14 minutes.
(a) Compute 95% confidence interval for mean stage IV sleep. Interpret this confidence interval.
(b) It has been believed that individuals suffering from Alzheimer's Disease may spend less time per night in the deeper stages of sleep. Test the hypothesis at 5% significance level if the true mean stage IV sleep of Alzheimer patients is less than 50 minutes.
- Provide the hypothesis statement
- Calculate the test statistic value
- Determine the probability value
(c) Could the confidence interval in part (a) be used to test the hypothesis in part (b)? Why or why not? (1 mark)
Solutions
orchestra answered 2 years agoRelated Solutions
A sample of Alzheimer's patients is tested to assess the amount of time in stage IV...
A sample of Alzheimer's patients is tested to assess the amount
of time in stage IV sleep these patients get in a 24-hour period.
Number of minutes spent in Stage IV sleep is recorded for 61
patients. The mean stage IV sleep over a 24 hour period of time for
these 61 patients was 48 minutes with a standard deviation of 14
minutes.
(a) Compute 95% confidence interval for mean stage IV sleep.
Interpret this confidence interval.
(b) It has...
A sample of Alzheimer's patients is tested to assess the amount of time in stage IV...
A sample of Alzheimer's patients is tested to assess the amount
of time in stage IV sleep these patients get in a 24-hour period.
Number of minutes spent in Stage IV sleep is recorded for 61
patients. The mean stage IV sleep over a 24 hour period of time for
these 61 patients was 48 minutes with a standard deviation of 14
minutes. (a) Compute 90% confidence interval for mean stage IV
sleep. Interpret this confidence interval. (b) It has...
A sample of Alzheimer's patients is tested to assess the amount of time in stage IV...
A sample of
Alzheimer's patients is tested to assess the amount of time in
stage IV sleep these patients get in a 24-hour period. Number of
minutes spent in Stage IV sleep is recorded for 61 patients. The
mean stage IV sleep over a 24 hour period of time for these 61
patients was 48 minutes with a standard deviation of 14
minutes.
(a) Compute 90%
confidence interval for mean stage IV sleep. Interpret this
confidence interval.
(b) It has...
A sample of Alzheimer's patients is tested to assess the amount of time in stage IV...
A sample of Alzheimer's patients is tested to assess the
amount of time in stage IV sleep these patients get in a 24-hour
period. Number of minutes spent in Stage IV sleep is recorded for
61 patients. The mean stage IV sleep over a 24 hour period of time
for these 61 patients was 48 minutes with a standard deviation of
14 minutes.
(a) Compute 95% confidence
interval for mean stage IV sleep. Interpret this confidence
interval.
(b) It has been...
A sample of Alzheimer's patients is tested to assess the amount of time in stage IV...
A sample of Alzheimer's patients is tested to assess the
amount of time in stage IV sleep these patients get in a 24-hour
period. Number of minutes spent in Stage IV sleep is recorded for
61 patients. The mean stage IV sleep over a 24 hour period of time
for these 61 patients was 48 minutes with a standard deviation of
14 minutes.
(a) Compute
95% confidence interval for mean stage IV sleep. Interpret this
confidence interval.
(b) It has been...
A sample of Alzheimer's patients is tested to assess the amount of time in stage IV...
A sample of Alzheimer's
patients is tested to assess the amount of time in stage IV sleep
these patients get in a 24-hour period. Number of minutes spent in
Stage IV sleep is recorded for 61 patients. The mean stage IV sleep
over a 24 hour period of time for these 61 patients was 48 minutes
with a standard deviation of 14 minutes.
(a) Compute
95% confidence interval for mean stage IV sleep. Interpret this
confidence interval.
(b) It has been...
A sample of Alzheimer's patients is tested to assess the amount of time in stage IV sleep these patients get in a 24-hour period.
A sample of Alzheimer's patients is tested to assess the amount of time in stage IV sleep these patients get in a 24-hour period. Number of minutes spent in Stage IV sleep is recorded for 61 patients. The mean stage IV sleep over a 24 hour period of time for these 61 patients was 48 minutes with a standard deviation of 14 minutes.
(a) Compute 95% confidence interval for mean stage IV sleep. Interpret this confidence interval.
(b) It has been...
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