12-9 Review - Unit 5

Using the normal distribution curve drawn above, identify the requested information. Round to the nearest tenth when necessary.

The percent of data falling between 1 standard deviation above and below the mean.

• 68%

• 99.7%

• 50%

• 13.5%

Using the normal distribution curve drawn above, identify the requested information. Round to the nearest tenth when necessary.

The percent of data falling between 2 standard deviation above and below the mean.

• 68%

• 99.7%

• 95%

• 13.5%

Using the normal distribution curve drawn above, identify the requested information. Round to the nearest tenth when necessary.

The percent of data falling between 3 standard deviation above and below the mean.

• 68%

• 99.7%

• 95%

• 13.5%

The scores for the mathematics portion of standardized test are normally distributed with a mean of 541 points and standard deviation of 117 points.

What is the probability that a randomly selected student has a score of 631 points or less on the test?

• 34.56%

• 68.12%

• 77.94%

• 96.50%

Some IQ tests are standardized to a Normal Distribution model. One specific IQ test is said to have a mean of 100 and a standard deviation of 15.

Using the picture and the information above, identify the values at each of the lettered locations.

• A=55, B=70, C=85, D=100, E=115, F=130, G=145

• A=145, B=130, C=115, D=100, E= 85, F=70, G=55

• A=1, B=2, C=3, D=4, E=5, F=6, G=7

• A=15, B=30, C=45, D=100, E=115, F=130, G=145

Some IQ tests are standardized to a Normal Distribution model. One specific IQ test is said to have a mean of 100 and a standard deviation of 15.

Using the picture and the information above, identify the values at each of the lettered locations.

What percent of people should have scores above 115?

• 76%

• 84%

• 16%

• 25%

Some IQ tests are standardized to a Normal Distribution model. One specific IQ test is said to have a mean of 100 and a standard deviation of 15.

Using the picture and the information above, identify the values at each of the lettered locations.

What percent of people should have scores between 85 and 130?

• 81.85%

• 78.45%

• 95.00%

• 78.55%

The Atlanta hamburger company buys their beef from a farm who reports that their mean weight of Angus steers is 1160 pounds. Suppose that the weight of the animals follow a Normal model with a standard deviation of 83 pounds.

What is the probability of selecting a cow at random that weighs more than 1100 pounds?

• 23.6%

• 76.4%

• 97.3%

• 99.6%

Tags

CCSS.HSS.ID.A.4

CCSS.HSS.MD.A.3

The Atlanta hamburger company buys their beef from a farm who reports that their mean weight of Angus steers is 1160 pounds. Suppose that the weight of the animals follow a Normal model with a standard deviation of 83 pounds.

What is the probability of selecting a cow at random that weighs between 1000 pounds and 1250 pounds?

• 97.3%

• 2.7%

• 83.4%

• 99.4%

Tags

CCSS.HSS.ID.A.4

The Atlanta hamburger company buys their beef from a farm who reports that their mean weight of Angus steers is 1160 pounds. Suppose that the weight of the animals follow a Normal model with a standard deviation of 83 pounds.

Which of the following statement is false?

• Randomly selecting a cow that weighs 1000 pounds because its is closer to the mean.

• Randomly selecting a cow that weighs 1000 pounds because its is farther from the mean.

• Randomly selecting a cow that weighs 1250 pounds because its is closer to the mean.

• Randomly selecting a cow that weighs 1250 pounds because its is farther from the mean.