Sunny earns $12 per hour delivering cakes. She worked for x hours this week. Unfortunately, she was charged $15 for a late deliv
2 answers:
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Answer:
The p value on this case is given by the problem.
If we compare the p value with a significance level assumed , we see that
and we can conclude that we FAIL to reject the null hypothesis that the difference mean between after and before is less or equal than 0.
Step-by-step explanation:
A paired t-test is used to compare two population means where you have two samples in which observations in one sample can be paired with observations in the other sample. For example if we have Before-and-after observations (This problem) we can use it.
Let put some notation
x=test value before , y = test value after
The system of hypothesis for this case are:
Null hypothesis:
Alternative hypothesis:
The first step is calculate the difference
The second step is calculate the mean difference
The third step would be calculate the standard deviation for the differences, and we got:
The 4 step is calculate the statistic given by :
The next step is calculate the degrees of freedom given by:
Now we can calculate the p value, since we have a right tailed test the p value is given by:
The p value on this case is given by the problem.
If we compare the p value with a significance level assumed , we see that
and we can conclude that we FAIL to reject the null hypothesis that the difference mean between after and before is less or equal than 0.
Answer:
Rate of change of the area of the rectangle at that instant = 7 cm²/hr.
Step-by-step explanation:
Area of rectangle = Height x Width
A = hw
The height of a rectangle is increasing at a rate of 3 centimeters per hour and the width of the rectangle is decreasing at a rate of 4 centimeters per hour.
Differentiating area with respect to time,
We need to find rate of change of area when the height is 5 centimeters and the width is 9 centimeters.
Rate of change of the area of the rectangle at that instant = 7 cm²/hr.