The mean number of hours of study time per week for a sample of 554 students is 22. If the margin of error for the population mean with a 95% confidence interval is 2.1, construct a 95% confidence interval for the mean number of hours of study time per week for all students.
Solution
Given that,
sample mean = = 22
Margin of error = E = 2.1
The 95% confidence interval estimate of the population mean is,
- E < < + E
22 - 2.1 < < 22 + 2.1
19.9 < < 24.1
(19.9 , 24.1)
A 95% confidence interval for the mean number of hours of study time per week for all students is : (19.9 , 24.1)
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