History Bookmarks Window Help Aplia: Student Questiorn ofo6 Use the folowing nor

Question

History Bookmarks Window Help Aplia: Student Questiorn ofo6 Use the folowing normal curve tables and accompanying figures to determine the proportion of the area under the normal curve for each of the specified ranges of z scores. To use the tables, click on the Area Under the Normal Curve" tab beneath the figures, and use the dropdown box to select the desired range of z score values. A table of the proportions of the normal distribution corresponding to that range of z scores wl appear. I you need a dfferent range of z scores, simply click on the box again and select a new range. Suggestion: For each of the folowing five questions, make a sketch of the area under seeking. This sketch w?? help you determine which column(s) of the normal arve tables to use in determin ng the appropriate proportion the rormal distribution you ane Proportion of Area Under the Normal Curve Range of z Scores 1.2>2.1 3. z

Explanation / Answer

Question 7

1 . Pr(Z > 2.1) = 1- Pr(Z < 2.1) = 1 - 0.9821 = 0.0179

2. Pr(Z > -2.6) = 1 - Pr(Z < -2.6) = 1 - 0.0047 = 0.9953

3. Pr(Z < 1.3) = 0.9032

4. Pr(0.3 < Z < 1.3) = Pr(Z < 1.3) - Pr(Z < 0.3) = 0.9032 - 0.6179 = 0.2853

5. Pr(-1.4 < Z < 2.6) = Pr(Z < 2.6) - Pr(Z < -1.4) = 0.9953 - 0.0808 = 0.9146

Question 8

1 . Pr(Z > 2.5) = 1- Pr(Z < 2.5) = 1 - 0.9938 = 0.0062

2. Pr(Z > -3.4) = 1 - Pr(Z < -3.4) = 1 - 0.0003 = 0.9997

3. Pr(Z < 1.5) = 0.9332

4. Pr(0.9 < Z < 1.9) = Pr(Z < 1.9) - Pr(Z < 0.9) = 0.9713 - 0.8159 = 0.1553

5. Pr(-1.7 < Z < 0.6) = Pr(Z < 0.6) - Pr(Z < -1.7) = 0.7257- 0.0446 = 0.6812

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