Question

question 17 of 22. 7.1 section exercise 43 - 46 (calc) score: 1 point submitted: sep 15 10:38 pm time spent: 1m 56s use the ti - 84 plus calculator to find the z - score for which the area to its right is 0.27. round the answer to two decimal places. the z - score for the given area is .61. alternate answer: the z - score for the given area is 0.61.

Explanation:

Step1: Recall the z - score and area relationship

The TI - 84 Plus has an inverse - normal function. We know that if the area to the right of the z - score is $A = 0.27$, then the area to the left of the z - score is $1 - A=1 - 0.27 = 0.73$.

Step2: Use the TI - 84 Plus calculator

On the TI - 84 Plus, we use the invNorm function. Press 2nd then VARS (DISTR). Select invNorm. Enter invNorm(0.73,0,1). The first argument is the area to the left of the z - score, the second argument is the mean of the standard normal distribution ($\mu = 0$), and the third argument is the standard deviation of the standard normal distribution ($\sigma = 1$).

Step3: Calculate and round

Using the calculator, invNorm(0.73,0,1)\approx0.61.

Answer:

$0.61$