2. (Read the Standard Normal Distribution table) Use Table A (Standard Normal Distribution table) to find the proportion (or area; point or percentage) of observations from a standard Normal distribution that satisfies each of the following statements. (a) P(z<-1.28) (b)P(z>1.96) (c) P(z>-1.96)

Which of the following statements are TRUE about the normal distribution? Check all that apply. __ The area to the left of a z-score plus the area to the right of that same z-score will always equal 1. __ A data value with z-score = -1.5 standard devaitions below the mean. __ The Empirical Rule only applies when a value is exactly 1, 2, or 3 standard deviations away from the mean. __ A z-score is the number of standard deviations a specific data values is from the mena of the distribution. __ The mean corresponds to the z-score of 1.

Scores on the verbal Graduate Record Exam (GRE) are normally distributed with a mean of 600 and a standard deviation of 120. Suppose a graduate school requires that students score at or above the 80th percentile. Approximately what score is required on this exam? b.Practice using the 68-95-99.7 Rule by completing the normal distribution belowwith horizontal scale and percentages in each interval. [Use the graph in (c) and (d).]

The test scores for the analytical writing section of a particular standardized test can be approximated by a normal distribution, as shown in the figure. (a) What is the maximum score that can be in the bottom 5% of scores? (b) Between what two values does the middle 90% of scores lie? µ = 3.7 o = 0.87 1.4 3.7 6. Score -co

Photon is a training device that is designed to improve a user's reaction time. Similar devices have been criticized for being too easy to master, but the makers of Photon say that their device is built to give most users room to improve. The makers say that even among professional athletes, the proportion, p, who can score the top ranking of "light speed" is less than 18%. A random sample of 115 professional athletes is chosen, and 15 score a ranking of "light speed" while using the device. Complete the parts below to perform a hypothesis test to see if there is enough evidence, at the 0.05 level of significance, to support the claim that the proportion of all professional athletes who can score a ranking of "light speed" is less than 18%. (a) State the null hypothesis H, and the alternative hypothesis H, that you would use for the test. Oロ H: ロ=ロ ローロ (b) For your hypothesis test, you will use a Z-test. Find the values of np and n (1-p) to confirm that a Z-test can be used. (One…

The test scores for the analytical writing section of a particular standardized test can be approximated by a normal distribution, as shown in the figure. (a) What is the maximum score that can be in the bottom 20% of scores? (b) Between what two values does the middle 60% of scores lie? µ = 3.3 o = 0.92 0.6 3.3 6. Score (a) The maximum score that can be in the bottom 20% is (Round to two decimal places as needed.)

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The test scores for the analytical writing section of a particular standardized test can be approximated by a normal distribution, as shown in the figure. (a) What is the maximum score that can be in the bottom 10% of scores? (b) Between what two values does the middle 80% of scores lie? (a) The maximum score that can be in the bottom 10% is (Round to two decimal places as needed.) H 3.3 Je o=0.76 0.6 3.3 Score -co

(a) The graph shows a Standard Normal Distribution. You are given 1 or 2 z-score(s) and need to shade the area (=probability) corresponding to: P(z > 1.2). Click on the "Shade" menu to select the shading option corresponding to the question [to the left, to the right, or between 2 values]. Then slide the arrow to the appropriate z-score. Shade: Left of a value Click and drag the arrows to adjust the values. -4 -3 -2 -1 2 4 -1.5 (b) Part 2: you are given an area (=probability), and you need to compute c, which is the z-score that corresponds to the statement: P( - c < z < c) (This is an inverse standard normal distribution problem. Use technology to compute c) The arrow can only be dragged to tick marks that are multiples of 0.1 So, round c to 1 decimal place, and then move the arrow to that rounded value. Click on the "Shade" menu to select the shading option corresponding to the question [to the left, to the right, or between 2 values]. (If the question is less c, choose Left of a…

Using the Standard Normal Table, find the proportion of observations from a standard Normal distribution thatsatisfies each of the following statements. In each case, sketch a standard Normal curve and shade the areaunder the curve that is the answer to the questions(a) Z < 1.64(b) Z > –0.86(c) –0.86 < Z < 1.64