Question:
Use the TI-84 calculator to find the Z-scores that bound the middle 88% of the area under the standard normal curve. Enter the answers in ascending order and
round to two decimal places.
and
The Z-scores for the given area are
X
Posted By Admin @ September 03, 2022
Use the TI-84 calculator to find the Z-scores that bound the middle 88% of the area under the standard normal curve. Enter the answers in ascending order and
round to two decimal places.
and
The Z-scores for the given area are
X
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