In: Statistics and Probability
You intend to estimate a population mean μμ with the following sample.
70.6 |
60 |
14.6 |
90.6 |
16.9 |
55.3 |
40.3 |
You believe the population is normally distributed. Find the 90%
confidence interval. Enter your answer as an
open-interval (i.e., parentheses)
accurate to twp decimal places (because the sample data are
reported accurate to one decimal place).
90% C.I. =
Answer should be obtained without any preliminary rounding.
However, the critical value may be rounded to 3 decimal places.
We have for given data,
Sample mean =49.76
Sample standard deviation =27.82
Sample size =7
Level of significance=1-0.90=0.1
Degree of freedom =6
t critical value is (by using t table)=
1.943
Confidence interval formula is
=(29.33,70.19)