Normal Distributions Assignment

Emily collected a sample of geodes and measured their masses. Her sample is Normally distributed with a mean of 0.8 kilograms and standard deviation of 0.04 kilograms. Complete the statements based on the Normal distribution. About % of Emily's geodes have a mass between 0.76 and 0.88 kilograms.

81.5%

The soccer balls manufactured at a factory have pressures that are Normally distributed, with a mean pressure of 8.7 PSI and a standard deviation of 0.2 PSI. What percentage of soccer balls from the factory have a pressure between 8.1 and 8.7 PSI? 0.3% 49.85% 50% 99.7%

49.85%

The graph shows a Normal distribution. A normal distribution. The x-axis goes from 3.5 to 6.5. Vertical dotted lines are at 4, 4.5, 5, 5.5, and 6. The highest point of the curve is at 5. The mean of this Normal distribution, to the nearest tenth, is.

5

A study of adult males found their head circumferences to be Normally distributed, with a mean of 57.5 centimeters and a standard deviation of 1.5 centimeters. Jack's head has a circumference in the 16th percentile. How many centimeters is his head circumference? Give your answer to the nearest tenth.

56.0

A school district recorded attendance at home basketball games over several years. The attendance figures were Normally distributed with a mean attendance of 451. The first game of the season had an attendance in the 84th percentile, which was about 463 people. What is the approximate standard deviation? 2 12 34 84

12

The scores on Ms. Jordan's last exam are Normally distributed with a mean of 72 and a standard deviation of 6.5. A graph titled exam scores has score on the x-axis, going from 52.5 to 91.5. The data is normally distributed. Dotted lines are at 59, 65.5, 72, 78.5, 85. The highest point of the curve is at 72. What percentage of students scored 78.5 or better? 16% 32% 34% 68%

16%

The hourly wages that a large company pays its employees are Normally distributed with a mean of $8.50 and a standard deviation of $0.25. A graph titled hourly wages has wage (dollars) on the x-axis, going from 7.75 to 9.25 in increments of 0.25. The data is normally distributed. Vertical dotted lines are at 8, 8.25, 8.5, 8.75, 9. The highest point of the curve is at 8.5. Complete the statements based on the Normal distribution. of the employees make $8 per hour or less. of the employees make $9 per hour or less.

2.5, 97.5

Which of the following can be modeled by a Normal curve? A graph has science scores on the x-axis. 8 bars gradually increase, and then 2 bars decrease. A graph has history scores on the x-axis. All bars are the same height. A graph has art scores on the x-axis. The bars increase, decrease at the middle, and then increase again. A graph has math scores on the x-axis. The bars increase to a maximum point at the middle, and then decrease.

D

The graph shows a Normal distribution. A normal distribution. The x-axis goes from 3.5 to 6.5. Vertical dotted lines are at 4, 4.5, 5, 5.5, and 6. The highest point of the curve is at 5. What is the best estimate of the standard deviation of the Normal distribution? 0.5 1.0 3.0 5.0

0.5