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dybincka [34]
1 year ago
5

a flower bed is in the shape of a triangle with one side twice the length of the shortest side and the third side is 30 feet mor

e than the length of the shortest side find the dimensions if the perimeter is 198 feet
Mathematics
1 answer:
rodikova [14]1 year ago
5 0

Answer:

42, 72, 84

Step-by-step explanation:

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Answer:

df=n-1=100-1=99  

Since is a two sided test the p value would be:  

p_v =2*P(t_{(99)}>2.7)=0.0082  

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Step-by-step explanation:

Data given

\bar X=2690 represent the sample mean

s=360 represent the sample standard deviation

n=100 sample size  

\mu_o =2600 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)  

System of hypothesis

We need to conduct a hypothesis in order to check if the true mean of interest is different from 2600, the system of hypothesis would be:  

Null hypothesis:\mu = 2600  

Alternative hypothesis:\mu \neq 2600  

The statistic is given by:

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

Calculate the statistic

The statistic for this case is given t_{calc}=2.7

P-value

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

df=n-1=100-1=99  

Since is a two sided test the p value would be:  

p_v =2*P(t_{(99)}>2.7)=0.0082  

And since the p vaue is lower than the significance level we have enough evidence to reject the null hypothesis.

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3 years ago
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