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lilavasa [31]
3 years ago
10

0.82 is greater than less than 0.54

Mathematics
2 answers:
Alexxandr [17]3 years ago
8 0
It's greater than not less
JulsSmile [24]3 years ago
3 0
0.82 is greater than 0.54
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. A discount brokerage selected a random sample of 64 customers and reviewed the value of their accounts. The mean was $32,000 w
koban [17]

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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