Question

Find the z value described and state the tail for the area described. (Hint: Use InvNorm) [3pts. each] a) Find z such that 3.7% of the standard normal curve lies to the left of z. b) Find z such that 4.8% of the standard normal curve lies to the right of z.

Answer 1

To find the desired z-values, use the InvNorm function with 0.037 to find the z-value for part a), where 3.7% lies to the left of z, and with 0.952 for part b), where 4.8% lies to the right.

Step-by-step explanation:

To find the specific z-values for a certain area under the standard normal curve, we can use the InvNorm function on a calculator or software that provides this statistical function.

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• a) To find the z-value where 3.7% of the area lies to the left, use the InvNorm function with the area 0.037. Z = InvNorm(0.037).

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• b) To find the z-value where 4.8% lies to the right (95.2% to the left), use InvNorm with the area 0.952. Z = InvNorm(0.952).

In both scenarios, remember that the standard normal distribution is symmetrical, and the InvNorm function finds the z-value with a specified cumulative area to its left.