Tests

Question 1

Sign Test

Answer 1

H0: M=200 (average, median)
H1: M<200
Take 200 away from numbers
T+=5 T-=15. T=5
Use a ___-tailed Sign test at the _% level using B(___,0.5) Test stat = T
Binomial CD
X:5
N:20
p:0.5
If <5% then significant

Question 2

Paired-Sign Test

Answer 2

Let X be
Let D =X-Y
H0: m= 0
H1: m>0
2 9 2 4 9 -5 -2 12 0 1
Get rid of any 0s
T+ = 7 T-= 2. T= 2
Use a ____-paired Sign Test at the _% level using B( 9 (sample size) , 0.5)
Binomial CD
X:2
N:9
p:0.5
If >5% then significant
Result is significant

Question 3

Wilcoxon signed rank test

Answer 3

H0: m=
H1: m≠
subtract a from each value
rank differences form size order
T is smallest rank
Formula book page 25. Table 10.
Use a ___tailed- Wilcoxon signed-rank test at the _% level using n= (sample size)
Critical Region:

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If >% then significant

Question 4

Wilcoxon Rank sum test

Answer 4

U=T-n(n+1)
2
Rank X and Y in order smallest to largest
Tx= Ty=
Use equation e.g tx= 15 n= 8
15 - 8 x (8+1)
2. =-21

20- 8 x (8+1)
2. =-16
U= smallest T (-21)
H0: the samples are taken from populations with identical distribution
H1: My-Mx>0
Use a ____-tailed wilcoxon rank sun test at the _% level using m= % level) (One tailed = 5%. Two tailed= 10%)
n=(test statistic)
Critical region
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