Answer:
-11
Step-by-step explanation:
Old sales revenue (mil. $) 5.2 6.5 7.2 5.7 7.6
New sales revenue (mil. $) 6.4 7.8 6.8 6.5 8.2
Let μ₁ and μ₂ be the means of old and new sales revenues, both in millions of dollars per month.
(a) At α = 0.05, test H0: μ2 ≤ μ1 versus H1: μ2 > μ1. Sketch the test. Interpret your result.
(b)Sketch and find the p‐value of the test. Would you reject H0 if α = 0.01?
Answer:
a)
So the p values is lower than the significance level given 0.05, so then we can conclude that we reject the null hypothesis.
b) The p value is illustrated on the figure attached.
If we select we see that so then we have enough evidence to FAIL to reject the null hypothesis.
Step-by-step explanation:
Part a
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
1=test value old , 2 = test value new
1: 5.2 6.5 7.2 5.7 7.6
2: 6.4 7.8 6.8 6.5 8.2
The system of hypothesis for this case are:
Null hypothesis:
Alternative hypothesis:
The first step is calculate the difference and we obtain this:
d: 1.2, 1.3, -0.4, 0.8, 0.6
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:
So the p values is lower than the significance level given 0.05, so then we can conclude that we reject the null hypothesis.
Part b
The p value is illustrated on the figure attached.
If we select we see that so then we have enough evidence to FAIL to reject the null hypothesis.
Answer:
What grade are you in?
Step-by-step explanation:
6. 16 divided by 4 is 4
Then your keep going like 8 is 25 divided by 5 which is 5.
9. 120 divided by 4 is 30
10. 36 divided by 6 is 6
and
B. are between 37.25 and 101.75
Answer
The solution to the quadratic equation is
EXPLANATION
Problem Statement
The question gives us the beginning of the application of the Quadratic formula on a quadratic equation. We are required to simplify the expression and get in more certain terms, the values of x.
The expression given is:
Solution
Let us begin to simplify the expression below:
Final Answer
The solution to the quadratic equation is
Answer:
# of roses # of bushes
2 4
3 5
Step-by-step explanation:
If you count, 4 times the data showed 2 and 5 times the data showed 3.
Answer:
max001 is a spammer
Step-by-step explanation:
2 roses = 4 bushes
3 roses = 5 bushes
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