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dybincka [34]
3 years ago
10

Phillip created the net worth statement shown

Mathematics
1 answer:
Vanyuwa [196]3 years ago
8 0

Answer:B

Step-by-step explanation: 113,000 - 71,500 = 41,500

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A random sample of 25 ACME employees showed the average number of vacation days taken during the year is 18.3 days with a standa
Norma-Jean [14]

Answer:

a) Null hypothesis:\mu \leq 15  

Alternative hypothesis:\mu > 15  

b) df=n-1=25-1=24  

For this case the p value is given p_v = 0.0392

If we compare the p value and the significance level given \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is higher than 15 at 5% of signficance.  

c) Type I error, also known as a “false positive” is the error of rejecting a null  hypothesis when it is actually true. Can be interpreted as the error of no reject an  alternative hypothesis when the results can be  attributed not to the reality.

So for this case a type I of error would be reject the hypothesis that the true mean is less or equal than 15 and is actually true.

Step-by-step explanation:

Data given and notation  

\bar X=18.3 represent the sample mean

s=3.72 represent the sample standard deviation

n=25 sample size  

\mu_o =15 represent the value that we want to test

\alpha=0.05 represent the significance level for the hypothesis test.  

t would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

Part a: State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the true mean for vacation days is higher than 15, the system of hypothesis would be:  

Null hypothesis:\mu \leq 15  

Alternative hypothesis:\mu > 15  

If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Part b: P-value  and conclusion

The first step is calculate the degrees of freedom, on this case:  

df=n-1=25-1=24  

For this case the p value is given p_v = 0.0392

Conclusion  

If we compare the p value and the significance level given \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is higher than 15 at 5% of signficance.  

Part c

Type I error, also known as a “false positive” is the error of rejecting a null  hypothesis when it is actually true. Can be interpreted as the error of no reject an  alternative hypothesis when the results can be  attributed not to the reality.

So for this case a type I of error would be reject the hypothesis that the true mean is less or equal than 15 and is actually true.

3 0
3 years ago
I need a-n answers!!! help plseaseeeee
bekas [8.4K]
A = consecutive interior
b= alternate exterior
c= consecutive exterior
d= alternate interior
e= corresponding
f= none
g= consecutive exterior
h= corresponding
i= alternate exterior
j= consecutive exterior
k=corresponding
l= alternate exterior
m= alternate interior
n= consecutive interior
5 0
3 years ago
Identify the coeficient: 6x + 19
Contact [7]

Answer:

25x

Step-by-step explanation:

6x + 9 = 25x

5 0
3 years ago
Read 2 more answers
Please help me do number One
valentina_108 [34]
What are the options on top take a picture of those then I will be able to help you
4 0
3 years ago
Which function has a range of {yly &lt; 5}?
Alexeev081 [22]

Answer:

f(x) = -(x-4)^2 + 5

Step-by-step explanation:

The function f(x) = -(x-4)^2 + 5 is a quadratic function. Its graph looks like a parabola. The graph has a vertex of (4,5) and opens up downward.

Proving that f(x) = -(x-4)^2 + 5 \le 5 for all x:

x^2 \ge 0 \Rightarrow (x-4)^2 \ge 0 \Rightarrow -(x-4)^2 \le 0 \Rightarrow -(x-4)^2 + 5 \le 5.

8 0
3 years ago
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