Use a standard normal table to obtain the areas under the no

Use a standard normal table to obtain the areas under the normal curve described below. Sketch a standard normal curve and shade the area of interest. a. The area either to the left of -1.75 or to the right of 1.34. b. The area either to the left of 0.64 or to the right of 1.69. Click here to view page 1 of the normal distribution table. Click here to view page 2 of the normal distribution table. a. Which of the following graphs is correct? The area either to the left of -1.75 or to the right of 1.34 is . ( Round to four decimal places as needed.) b. Which of the following graphs is correct? The area either to the left of 0.64 or to the right of 1.69 is ( Round to four decimal places as needed.)

Solution

a.

It is graph OPTION A, by inspection.

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Thus, the two z scores are          
          
z1 = lower z score =    -1.75      
z2 = upper z score =    1.34      
          
Using table/technology, the left tailed areas between these z scores is          
          
P(z < z1) =    0.040059157      
P(z < z2) =    0.909877328      
          
Thus, the area between them, by subtracting these areas, is          
          
P(z1 < z < z2) =    0.869818171      
          
Thus, those outside this interval is =    0.1302 [ANSWER]

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b.

It is graph option A, by inspection.
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Thus, the two z scores are          
          
z1 = lower z score =    0.64      
z2 = upper z score =    1.69      
          
Using table/technology, the left tailed areas between these z scores is          
          
P(z < z1) =    0.7389137      
P(z < z2) =    0.954486023      
          
Thus, the area between them, by subtracting these areas, is          
          
P(z1 < z < z2) =    0.215572322      
          
Thus, those outside this interval is =    0.7844 [ANSWER]