The sleeping time at night of the people is normally distributed. Based on a random sample of 10 people, the 95% confidence interval for the true mean of sleeping time was obtained as 6.5< µ <7.7 hours. a) Find the estimated mean sleeping time and the standard deviation (s). b) Find the margin of error E. c) Construct a 90% confidence interval based on the same data. d) How large should the sample be if you want to be 99% confident that the estimate is accurate within 0.10 hours of true mean of sleeping time. (Assume o=0.98.

The sleeping time at night of the people is normally distributed. Based on a random sample of 10 people, the 95% confidence interval for the true mean of sleeping time was obtained as 6.5< µ <7.7 hours. a) Find the estimated mean sleeping time and the standard deviation (s). b) Find the margin of error E. c) Construct a 90% confidence interval based on the same data. d) How large should the sample be if you want to be 99% confident that the estimate is accurate within 0.10 hours of true mean of sleeping time. (Assume o=0.98.

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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The sleeping time at night of the people is normally distributed. Based on a random sample of 10 people, the 95% confidence interval for the true mean of sleeping
time was obtained as 6.5< u <7.7 hours.
a)
Find the estimated mean sleeping time and the standard deviation (s).
b)
Find the margin of error E.
c)
Construct a 90% confidence interval based on the same data.
d)
How large should the sample be if you want to be 99% confident that the estimate is accurate within 0.10 hours of true mean of sleeping time. (Assume o=0.98.

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