Overzicht hypothesetesten Collegejaar 2017/2018
µ when s is known
Hoe te herkennen in het tentamen?
Met de volgende termen:
o Mean of the variable
o Variance of the population known
Interval:
s s
L = 𝑥 - Za/2 en U = 𝑥 + Za/2
Ö" Ö"
1. Hypothese:
a. H0 = µ £ µ0 vs. H1 = µ > µ0
b. H0 = µ ³ µ0 vs. H1 = µ < µ0
c. H0 = µ = µ0 vs. H1 = µ ¹ µ0
2. Test statistic:
#$µ%
Z=
s/Ö"
3. Rejection region:
a. Reject H0 <-> Z ³ Za
b. Reject H0 <-> Z £ -Za
c. Reject H0 <-> Z £ -Za or Z ³ Za
4. Value
5. Conclusion
, µ when s is unknown
Hoe te herkennen in het tentamen?
Met de volgende termen:
o Mean of the variable
o Variance of the sample known
Interval:
( (
L = 𝑥 – ta/2;n-1 en U = 𝑥 + ta/2;n-1
Ö" Ö"
1. Hypothese:
a. H0 = µ £ µ0 vs. H1 = µ > µ0
b. H0 = µ ³ µ0 vs. H1 = µ < µ0
c. H0 = µ = µ0 vs. H1 = µ ¹ µ0
2. Test statistic:
#$µ
Z=
(/Ö"
3. Rejection region:
a. Reject H0 <-> t ³ ta;n-1
b. Reject H0 <-> t £ -ta;n-1
c. Reject H0 <-> t ³ ta;n-1 or t £ -ta;n-1
4. Value
5. Conclusion
µ when s is known
Hoe te herkennen in het tentamen?
Met de volgende termen:
o Mean of the variable
o Variance of the population known
Interval:
s s
L = 𝑥 - Za/2 en U = 𝑥 + Za/2
Ö" Ö"
1. Hypothese:
a. H0 = µ £ µ0 vs. H1 = µ > µ0
b. H0 = µ ³ µ0 vs. H1 = µ < µ0
c. H0 = µ = µ0 vs. H1 = µ ¹ µ0
2. Test statistic:
#$µ%
Z=
s/Ö"
3. Rejection region:
a. Reject H0 <-> Z ³ Za
b. Reject H0 <-> Z £ -Za
c. Reject H0 <-> Z £ -Za or Z ³ Za
4. Value
5. Conclusion
, µ when s is unknown
Hoe te herkennen in het tentamen?
Met de volgende termen:
o Mean of the variable
o Variance of the sample known
Interval:
( (
L = 𝑥 – ta/2;n-1 en U = 𝑥 + ta/2;n-1
Ö" Ö"
1. Hypothese:
a. H0 = µ £ µ0 vs. H1 = µ > µ0
b. H0 = µ ³ µ0 vs. H1 = µ < µ0
c. H0 = µ = µ0 vs. H1 = µ ¹ µ0
2. Test statistic:
#$µ
Z=
(/Ö"
3. Rejection region:
a. Reject H0 <-> t ³ ta;n-1
b. Reject H0 <-> t £ -ta;n-1
c. Reject H0 <-> t ³ ta;n-1 or t £ -ta;n-1
4. Value
5. Conclusion
