Use the following sample to estimate a population mean μμ.
53.2 |
48.4 |
59.1 |
83.2 |
63.7 |
50.8 |
74 |
62.6 |
56.4 |
56.2 |
51.6 |
Assuming the population is normally distributed, find the 99.5%
confidence interval about the population mean. Enter your
answer as an open-interval (i.e., parentheses)
accurate to two decimal places.
99.5% C.I. =
We have for given data,
Sample mean =59.93
Sample standard deviation =10.578
Sample size =11
Level of significance=1-0.995=0.005
Degree of freedom =10
t critical value is (by using t table)=
3.581
Confidence interval formula is
=(48.51,71.35)
99.5% C.I. =(48.51,71.35) |
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