A random sample of 8 experts has been chosen to rate brand A tea and brand...
A random sample of 8 experts has been chosen to rate brand A tea and brand B tea with 1 = extremely unpleasing, 6= extremely pleasing, see data below. Is there evidence of a difference in the mean ratings between the two brands at 0.05 level of significance?
|
Expert |
A |
B |
|
1 |
4 |
1 |
|
2 |
3 |
6 |
|
3 |
6 |
1 |
|
4 |
5 |
1 |
|
5 |
2 |
4 |
|
6 |
2 |
6 |
|
7 |
6 |
6 |
|
8 |
1 |
5 |
a. State the appropriate null and alternative hypotheses
b. Calculate test statistics
c. Find critical value
d. Make appropriate statistical and managerial decision
Homework Answers
from the given data, mean and sd of the difference
mean = -0.1250
sd = 3.6815
a)
H0: mu(d) = 0
Ha: mu(d) not equals to 0
b)
Test statistic,
t = -0.125/(3.6815/sqrt(8))
t = -0.0960
c)
critical value = -2.3646 and 2.3646
d)
As t-statistic is greater than -2.3646, we fail to reject H0
There are not significant evidence to conclude that there is
difference in two brands
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