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Answer:
-1.55 to 1.55
Step-by-step explanation:
The Zscore which bound the middle 88% of the area under the standard normal curve ;
88% = 88/100 = 0.88
The middle 88% ; dividing into two tails ;
(1 - 0.88) / 2
= 0.12 / 2
= ± 0.06
= - 0.06 to the left AND 0.06 to the right
Using the TI-84 calculator ;
invNorm(Area, mean, sigma)
Area = 0.06
Mean and sigma = 0 and 1 respectively (standard distribution (mean =0 ; standard deviation = 1))
Hence,
invNorm(0.06, 0, 1) = - 1.5547
Since both tails are symmetrical ;
Left tail = - 1.55
Right tail = 1.55
-1.55 to 1.55
Z-scores that bound the middle 88% of the area under the standard normal curve are -1.555 and 1.555.
The z-score bounding the middle 88% of the area under the standard normal curve, divides the remaining area into two equal areas i.e. -6% to the left and +6% to the right.
What is the z-score?
A Z-score is a numerical measurement that describes a value's relationship to the mean of a group of values.
Using the TI-84 calculator ;
Inverse Normal Distribution
Area =6% i.e. 0.06
Mean =0
Standard deviation = 1
So, invNorm(0.06, 0, 1) = - 1.555
We know that standard normal curve is symmetrical so the z-value on the right side of the curve= +1.555
Therefore, Z-scores that bound the middle 88% of the area under the standard normal curve are -1.555 and 1.555.
To get more about the z-score visit:
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