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lions [1.4K]
3 years ago
8

At city community college, every freshman must take English 101. The English department wants to know whether students who take

this class and their second semester get better grades than students who take the class in the first semester which principle of experimental design can the English department best used to include a variety of students in both the first and second semester treatment groups of the study
Mathematics
1 answer:
vesna_86 [32]3 years ago
8 0

Answer: randomization

Step-by-step explanation: apex

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Answer:

The  90% confidence interval is  \$ \ 30313.9<  \mu  <  \$ \ 33686.13

Step-by-step explanation:

From the question we are told that

   The  sample size is  n =  64

     The sample  mean is  \= x  =  \$ 32, 000

     The  standard deviation is  \sigma=  \$ 8, 200

     

Given that the confidence interval is  90% then the level of significance is mathematically evaluated as

             \alpha  =  100 -  90

             \alpha  =  10 \%

            \alpha = 0.10

Next we obtain the critical value of  \frac{ \alpha }{2} from the normal distribution table , the value is  

       Z_{\frac{\alpha }{2} } =  1.645

  Generally the margin of error is mathematically represented as

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

  =>   E =  1.645 *  \frac{  8200 }{ \sqrt{64} }

  =>   E =  1686.13

The 90% confidence interval is mathematically represented as

      \= x  -  E  <  \mu <  \= x  +  E

 =>    32000 -  1689.13 <  \mu  <  32000 +  1689.13

=>    \$ \ 30313.9<  \mu  <  \$ \ 33686.13

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