statistic question
Using the data in BELOW find the 99% confidence interval for the variance AND standard deviation of the ages of the babies born at this particular hospital this year.
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The data shown below represents the ages in months of 25 babies born at a particular hospital this year. Babies who are less than a month old are given an age of 0 months.
0 |
9 |
2 |
3 |
10 |
0 |
11 |
1 |
3 |
1 |
2 |
8 |
4 |
7 |
1 |
4 |
7 |
6 |
6 |
1 |
5 |
6 |
7 |
8 |
4 |
Find the 95% confidence interval for the mean age of the babies born at this particular hospital this year.
The mean (average) X is given calculated as
X = Sum of all the ages of babies / Number of babies
X = 116/25
X = 4.64 months
Standard Deviation = SD = 3.2259
The degree of freedom = d.f. = n – 1 = 24
The t value is tα/2 = t0.025 = 2.0639
The 95% confidence interval is given as
X +/- tα/2 S/n
4.64 +/- ((2.0639*3.2259)/25)