a)
let new and veteren employees are populaiton 1 and 2,
| null
hypothesis: |
?1-?2 |
|
= |
0 |
|
| Alternate Hypothesis: |
?1-?2 |
|
< |
0 |
|
b)
|
new employee |
veteran employee |
| x1
= |
22.2000 |
x2
= |
24.8000 |
|
|
s1
= |
0.9000 |
s2
= |
0.7500 |
|
| n1
= |
10.0000 |
n2
= |
10.0000 |
|
|
|
|
|
|
| pool. var S2p= |
((n1-1)s21+(n2-1)*s22)/(n1+n2-2)= |
0.6863 |
|
c)
| Point estimate
: |
x1-x2
= |
-2.6000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| std error of
difference=Se= |
Sp*?(1/n1+1/n2) |
|
= |
0.3705 |
|
|
|
|
|
|
|
|
|
|
|
|
| test stat t = |
|
(x1-x2-?o)/Se |
|
= |
-7.02 |
d)
| for 0.05 level
with right tailed test and n-1= 18 degree of freedom, critical
value of t= |
1.734 |
| Decision rule
:
reject Ho if test statistic t<-1.734 |
|
|
|
e)
as test statitic is less than crtiical value we reject null
hypothesis
we have sufficient evidence to conclude that new employee
installs vertical blinds faster,on the average, than the veteran
employee.
