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FromTheMoon [43]
3 years ago
13

3×1 3/4 greater than less than or equal to 1 3/4

Mathematics
1 answer:
bagirrra123 [75]3 years ago
7 0
3•1 3/4 is Greater than 1 3/4
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What is 505/100 as a decimal?
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Easha bought a canvas for 6.95 and eight tubes of paint that each cost the same amount it's total purchase was 22.95 how much di
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Math help please ?? functions?
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3 years ago
Two hundred undergraduate students were randomly selected from a university that has 47,000 students in total. Systolic blood pr
Hoochie [10]

Answer:

The  correct option is d

Step-by-step explanation:

From the question we are told that

    The  population size is  N  =  47000

    The  sample size is  n  =  200

     The  sample mean is   \= x  =  118.0 \ mmHg

     The  standard deviation is  \sigma  =  11.0 \ mmHg

     

Given that the confidence level is  95% then the level of significance can be calculated as

                     \alpha  =  100 -  95

                    \alpha  =  5 \%

                      \alpha  =  0.05

Next we obtain the critical value of  \frac{\alpha }{2} from  z-table , the value is  Z_{\frac{\alpha }{2}  } =  Z_{\frac{0.05 }{2}  } = 1.96

The reason we are obtaining critical value of   \frac{\alpha }{2} instead of    \alpha is because  

 \alpha represents the area under the normal curve where the confidence level interval (   1-\alpha) did not cover which include both the left and right tail while  

 \frac{\alpha }{2}  is just the area of one tail which what we required to calculate the margin of error .

NOTE: We can also obtain the value using critical value calculator (math dot armstrong dot edu)

  Generally the margin of error is mathematically represented as

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

substituting values

           E  =  1.96 *\frac{11.0  }{ \sqrt{200} }

           E  = 1.5245

The  95% confidence level interval is mathematically represented as

       \= x  -  E < \mu < \= x  +  E

substituting values

       118.0   -  1.5245 < \mu < 118.0   +  1.5245

        116.5< \mu < 119.5

         [116.5 , 119.5]

 

6 0
3 years ago
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