| 1. The data represents the annual chocolate sales for a sample of seven countries in the world. Find the mean. Please round your answer to two decimal places.
2,6, 4, 8, 12,15,11,21,34,21,18
2. Given the distribution below, do the followings. (5 points each ) complete the table. Class Limits Frequency 0 - 10 2
10 - 20 7
20 – 30 10
30 - 40 2
40 - 50 15 Mean ___________________ Standard Deviation___________________
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3. To qualify for a police academy, candidates must score in the top 5% ( Area of Z= 0.0500) on a general abilities test. The test has a mean of 200 and a standard deviation of 30. Find the lowest possible score to qualify. Assume the test scores are normally distributed. |
1. 4.Find the area under the normal distribution curve between z1 = 1.00 and z2 = 1.58. Round your answer to four decimal places.
| Find the area under the normal distribution curve between z1 = +2.67 and z2 = -1.27. Give your answer in decimal form. |
| The desired area is shown below. |
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| 2. Compute the value of the correlation coefficient for the data obtained in the study of the number of absences and the final grade of seven students in the statistics class given. |
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| Subject | Number of | Final grade | xy | x2 | y2 |
| absences x | y(%) | | | | |
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| A | 1 | | |
| B | 8 | | |
| C | 5 | | |
| D | 2 | | |
| E | 4 | | |
| F | 6 | | |
| G | 8 | | |
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| Substitute in the formula and solve for r. |
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| n( xy) - ( x)( y) |
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| [n( x2) - ( x)2] [n( y2) - ( y)2] |
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| 3. Test the significance of the correlation coefficient for the data obtained in a study of age and systolic blood pressure of six randomly selected subjects. The data are shown in the table. |
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| Subject | | Age x | | Pressure y |
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| A | | 43 | | 125 |
| B | | 48 | | 126 |
| C | | 56 | | 132 |
| D | | 61 | | 144 |
| E | | 67 | | 141 |
| F | | 70 | | 151 |
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4. Find the area under the Normal distribution curve between z1 = 1.27 and z2 = 1.98 Round your answer to four decimal place. 5. 6. Find the area under the Normal distribution curve between z1 = 0 and z2 = 27 Round your answer to four decimal place. 7. 8. Find the area under the Normal distribution curve between z1 =1.77 and z2 = 2.21 Round your answer to four decimal place.
9. Find the area under the Normal distribution curve between z1 = 1.27 and z2 = 1.98 Round your answer to four decimal place.
10. Find the area under Normal distribution curve. To right of Z = 0.34
11. Find the area under Normal distribution curve. To right of Z = 1.97
12. Find the area under Normal distribution curve. To left of Z =-0.27
13. Find the area under Normal distribution curve. To left of Z = -0.37
14. Find the area under Normal distribution curve. To right of Z = 0.94
15. Given that Mean of normal distribution is 25. S.D is 0.4. Find the area under normal curve between 27 and 34.
16. Given that Mean of normal distribution is 10. S.D is 0.14. Find the area under normal curve between 34 and 54. 17. Given that Mean of normal distribution is 9. S.D is 0.2. Find the area under normal curve between 19 and 34.
18. Given that Mean of normal distribution is 5. S.D is 0.1. Find the area under normal curve between 27 and 34.
19. Given that Mean of normal distribution is 150. S.D is 25.4. Find the area under normal curve between 160 and 175.
20. Given that Mean of normal distribution is 13. S.D is 0.14. Find the area under normal curve between 10 and 20.
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