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kodGreya [7K]
3 years ago
8

Describe the steps you would follow to write a two-step inequality you can use to solve a real-world problem

Mathematics
1 answer:
Mariana [72]3 years ago
5 0
Pemdas and other math based things
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Private colleges and universities rely on money contributed by individuals and corporations for their operating expenses. Much o
emmainna [20.7K]

Answer:

The 95% confidence interval   81.852  <  \mu <  280.098

Step-by-step explanation:

From the question we are told that

   The  sample mean is  \= x  =  180.975

   The standard deviation is  \sigma  =  143.042

   The sample size is n = 8

Given that the confidence level is  95%  then the level of significance is  

    \alpha =( 100- 95) \%

=>  \alpha =0.05    

Generally from the normal distribution table the critical value  of  \frac{\alpha }{2} is  

   Z_{\frac{\alpha }{2} } =  1.96

Generally the margin of error is mathematically represented as  

      E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }

=>  E = 1.96 *  \frac{ 143.042 }{\sqrt{8} }

=>  E = 99.123

Generally 95% confidence interval is mathematically represented as  

      \= x -E <  \mu <  \=x  +E

=>    180.975 -99.123 <  p <  180.975 +99.123

=>    81.852  <  \mu <  280.098

   

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