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Lady bird [3.3K]
3 years ago
10

A city is built on a grid in which each block is 300 feet wide. Anwar walks all the way around a park. His route takes him 1 blo

ck south and 2 blocks west. Then he walks 2 blocks north and 1 block east. Finally he walks 1 block south and 1 block east, and is back at his starting point. WHAT IS THE PERIMETER OF THE PARK?
Mathematics
1 answer:
Gekata [30.6K]3 years ago
8 0
Duplicate question:
Since each block is 300 feet wide... You might have to draw this if needed.
1 block south = 300
2 blocks west = 600
2 blocks north = 600
1 block east = 300
1 block south = 300
1 block east = 300
Add them up: 2400 feet
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Answer:

t=\frac{51.6-48}{\frac{1.1}{\sqrt{10}}}=10.349      

p_v =P(t_9>10.349)=1.34x10^{-6}  

If we compare the p value and the significance level given for example \alpha=0.05 we see that p_v so we can conclude that we reject the null hypothesis, and the the actual mean is significantly higher than 48 MPa at 5% of significance.

Step-by-step explanation:

1) Data given and notation      

\bar X=51.6 represent the sample mean

s=1.1 represent the standard deviation for the sample      

n=10 sample size      

\mu_o =48 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)  

State the null and alternative hypotheses.      

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Alternative hypothesis:\mu > 48      

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t=\frac{\bar X-\mu_o}{\frac{\sigma}{\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".  

Calculate the statistic      

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t=\frac{51.6-48}{\frac{1.1}{\sqrt{10}}}=10.349      

Calculate the P-value      

First we find the degrees of freedom:

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If we compare the p value and the significance level given for example \alpha=0.05 we see that p_v so we can conclude that we reject the null hypothesis, and the the actual mean is significantly higher than 48 MPa at 5% of significance.        

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