Question

What Z-Score pertains to the upper 90% of the Standard Normal Distribution? (Based on the answers found to the following questions in the first two photos)
Use the Standard Normal Distribution Table to answer the following questions For each question provide a full ilustration and solve. Circle and label final answer values 1506)-(o5ooo) 0.4505 -(o.50 2- o 145 2. P(-16552 o) PI4CA dH4S «LLS 3. PIZs-0.44) o-3300 4. P(-1.552s-1.08) 0.0733 0.0733 5. P(1.03szs2.20) 95 ea-14 6 P(Zz-1.68)

Answer 1

We have to find the Z-score which pertains to the upper 90% of the data. This would mean that the area below the particular z-score would be 10%, or 0.1.

We can find the required z-score (the score at which the probability is 0.1) by looking into the z-table.

From the table, we know that the z score is -1.28. This means that P(Z < -1.28) is 10%. The P(Z > -1.28) is 90%. Thus, P(-1.28 < Z < 3) is 90%.

Thus, between -1.28 and 3, 90% of the data (upper data) is covered.