Question

In: Statistics and Probability

The chart is here. file:///C:/Users/tyler/Downloads/Standard%20Normal%20Table%20(1).pdf 1.      Find the area under the normal curve that is: greater than...

The chart is here. file:///C:/Users/tyler/Downloads/Standard%20Normal%20Table%20(1).pdf

1.      Find the area under the normal curve that is: greater than Z = 0.64

2.      Find the area under the normal curve that is: below Z = -1.53

3.      Find the area under the normal curve that is: greater than Z = -1.89

4.      Find the area under the normal curve that is: below Z = 2.27

5.      Find the area under the normal curve that lies between: Z = 0.00 and Z = 0.85

6.      Find the area under the normal curve that lies between: Z = -1.53 and Z = 0.00

7.      Find the area under the normal curve that lies between: Z = -0.18 and Z = 0.29

8.      Find the area under the normal curve that lies between: Z = 0.27 and 1.83

9.      Find the area under the normal curve that lies outside: Z = 0.00 and Z = 2.85

10.  Find the area under the normal curve that lies outside: Z = -0.63 and Z = 0.00

11.  Find the area under the normal curve that lies outside: Z = -2.28 and Z = 0.18

12.  Find the area under the normal curve that lies outside: Z = 1.21 and 1.71

Be sure to note for questions 13-16, you do not need the mean or standard deviation to find the Z-score.

13.  Find the Z-score that describes the following proportions under the normal curve (within 0.01 points): Top 38% of scores

14.  Find the Z-score that describes the following proportions under the normal curve (within 0.01 points): Bottom 15% of scores

15.  Find the Z-score that describes the following proportions under the normal curve (within 0.01 points): Top 65% of scores (be careful!)

16.  Find the Z-score that describes the following proportions under the normal curve (within 0.01 points): Middle 30% of scores (around the mean of Z=0)

1.      Find the area under the normal curve that is: greater than Z = 0.64

2.      Find the area under the normal curve that is: below Z = -1.53

3.      Find the area under the normal curve that is: greater than Z = -1.89

4.      Find the area under the normal curve that is: below Z = 2.27

5.      Find the area under the normal curve that lies between: Z = 0.00 and Z = 0.85

6.      Find the area under the normal curve that lies between: Z = -1.53 and Z = 0.00

7.      Find the area under the normal curve that lies between: Z = -0.18 and Z = 0.29

8.      Find the area under the normal curve that lies between: Z = 0.27 and 1.83

9.      Find the area under the normal curve that lies outside: Z = 0.00 and Z = 2.85

10.  Find the area under the normal curve that lies outside: Z = -0.63 and Z = 0.00

11.  Find the area under the normal curve that lies outside: Z = -2.28 and Z = 0.18

12.  Find the area under the normal curve that lies outside: Z = 1.21 and 1.71

Be sure to note for questions 13-16, you do not need the mean or standard deviation to find the Z-score.

13.  Find the Z-score that describes the following proportions under the normal curve (within 0.01 points): Top 38% of scores

14.  Find the Z-score that describes the following proportions under the normal curve (within 0.01 points): Bottom 15% of scores

15.  Find the Z-score that describes the following proportions under the normal curve (within 0.01 points): Top 65% of scores (be careful!)

16.  Find the Z-score that describes the following proportions under the normal curve (within 0.01 points): Middle 30% of scores (around the mean of Z=0)

Solutions

Expert Solution

1. The area under the normal curve that is: greater than Z = 0.64

= 0.2611

2. Find the area under the normal curve that is: below Z = -1.53

= 0.0630

3. Find the area under the normal curve that is: greater than Z = -1.89

= 0.9706

4. Find the area under the normal curve that is: below Z = 2.27

= 0.9884

5. Find the area under the normal curve that lies between: Z = 0.00 and Z = 0.85

= 0.3023

6. Find the area under the normal curve that lies between: Z = -1.53 and Z = 0.00

= 0.4370

7. Find the area under the normal curve that lies between: Z = -0.18 and Z = 0.29

= 0.1855

8. Find the area under the normal curve that lies between: Z = 0.27 and 1.83

= 0.3600

9. Find the area under the normal curve that lies outside: Z = 0.00 and Z = 2.85

= 0.4978

10. Find the area under the normal curve that lies outside: Z = -0.63 and Z = 0.00

= 0.7643

11. Find the area under the normal curve that lies outside: Z = -2.28 and Z = 0.18

= 0.4399

12. Find the area under the normal curve that lies outside: Z = 1.21 and 1.71

= 0.9305

13. Find the Z-score that describes the following proportions under the normal curve (within 0.01 points): Top 38% of scores

= the z score at 38% ( 1 - 0.38) = 0.62 is,

z = 0.31

14. Find the Z-score that describes the following proportions under the normal curve (within 0.01 points): Bottom 15% of scores

= z score at p value = 0.15 is

= z = -1.04

15. Find the Z-score that describes the following proportions under the normal curve (within 0.01 points): Top 65% of scores (be careful!)

= z score at p value = 1 - 0.65 = 0.35 is,

= z = -0.39

16. Find the Z-score that describes the following proportions under the normal curve (within 0.01 points): Middle 30% of scores (around the mean of Z=0)

The z score that corresponds to the p values 35 and 65 is ±0.39

orchestra answered 1 year ago
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