Find the z-score for which 95% of the distribution \'s area lies between -z and

Question

Find the z-score for which 95% of the distribution 's area lies between -z and z
a. determine the area
b. locate the area in the Standard Normal Table
c. find the z-score that corresponds to the area.

The book answers are; the area is 0.0250 and .09750
the z-score is +/- 1.96


When I looked at the Standard Normal Table I was looking for what was the closet to .95 thinking that I needed to change 95% to .95. .9495 is the closet to .95 which means that the z-score is +/- 1.64

Please help, I am preparing for a final exam

Explanation / Answer

95% -> 5% empty area

2.5% left tale, and 2.5% right tail

So the area is between 0.025 and 1-0.025 = 0.975

So you should find the z-score corresponding to 0.975 not 0.95.

Related Questions

Navigate

• Browse (All)
• Browse F
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.