Question 1116866: A university is conducting a survey to study the number of hours students sleep at night during exam week. A sample of 20 students was drawn, and these responses were obtained: 6.5, 5, 8, 5.5, 7, 4, 4.5, 5, 6, 5.5, 4, 7.5, 6, 7, 8, 5, 6, 6.5, 6.5, 5.
The standard deviation of the population mean is 2 hours.
Arrange the steps in the correct sequence to find the range in which 95% of the sample mean occurs.
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! Need the mean of the data, and the 95% CI is mean +/- 1.96* 2/sqrt(n) when the population sd is known. (Otherwise it is s and the 1.96 is replaced with the appropriate t-value)
mean is 5.925
CI is 5.925+/- 1.96(2)/sqrt(20); the interval is 0.8765
(5.05, 6.80)
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