Use a standard normal table to obtain the areas under the normal curve described
ID: 3437812 • Letter: U
Question
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.)Explanation / Answer
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]
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