Ü15, Exercise 8
In this exercise, we search n such that under α=0,05 10 ∉ A
1.Calculation of necessary parameters
2.Calculation of the confidence interval
3.The lowerbound of the CI has to be bigger 10
4.The upperbound of the CI has to be lower than 10
The values with our calculation of the right intervall will be accepted.
We can see it also so:
n<17, when 10< µ+1,96σ --> right intervall
n>46, when 10> µ-1,96σ --> left intervall
4.Check with n ≤ 16
If we need n=16
5.Check with n≥46
For n≤16 or n≥46 we can reject H0 at the 5% signifiance level.
To reject H0 at the 5% signifiance level, the following condition has to hold: n ∉ [18;45]