A hair dresser placed a $400 advertisement in the local news paper to increase her daily revenue. The table below shows revenues before and after the advertisement.
Day |
Before advertainment |
After advertisement |
d̅ (After -Before) |
Monday |
500 |
550 |
50 |
Tuesday |
485 |
525 |
40 |
Wednesday |
440 |
570 |
130 |
Thursday |
450 |
620 |
170 |
Friday |
540 |
550 |
10 |
Assume that H0: µd ≤0 HA: µd >0. d̅ = After – Before. Answer the following questions.
The mean of d̅ is:
75
70
80
85
The standard deviation of d̅ is
66.08
67.08
68.08
69.08
To test the hypothesis, we use:
t-test
z-test
both z and t-tests
m-test
The test statistic value is:
2.65
2.35
2.45
2.67
If the level of significance is 5 %, the critical value
is:
2.138
2.132
2.12
2.15
The decision is:
Do not reject the null hypothesis because it is a right tail test
Do not reject the null hypothesis because it is a left tail test
Reject the null hypothesis
Reject the alternative hypothesis
The interpretation is:
There is no enough evidence to support the alternative hypothesis
There is no enough evidence to support the null hypothesis
There is enough evidence to support the null hypothesis
None of the above
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