7.1-7.2 Review Team Challenge

Given that a set of data with a normal distribution has a mean of 8.5 and standard deviation of 1.1. What percent of the data is inside the range 5.2 to 10.7?

• 81.5%

• 83.85%

• 95%

• 97.35%

Tags

CCSS.HSS.ID.A.4

A large group of students took a test in Physics and the final grades have a mean of 75 and a standard deviation of 15. If we can approximate the distribution of these grades by a normal distribution, what percent of the students either failed (< 60) or got a "A" (> 90)?

• 32%

• 34%

• 47.5%

• 50%

Tags

CCSS.HSS.ID.A.4

A radar unit is used to measure speeds of cars on a motorway. The speeds are normally distributed with a mean of 80 km/hr and a standard deviation of 10 km/hr. What percent of the speeds measured are greater than 100 km/hr?

• 0.15%

• 2.35%

• 2.5%

• 5%

Tags

CCSS.HSS.ID.A.4

Given that a set of data with a normal distribution has a mean of 8.5 and standard deviation of 1.1. 68% of the data falls between what two values?

• (6.3, 9.6)

• (5.2, 10.7)

• (7.4, 9.6)

• (8.5, 10.7)

Tags

CCSS.HSS.ID.A.4

Use a Standard Normal Table to find the z-score that corresponds to the cumulative area of 0.2578.

• 0.65

• -0.65

• -0.75

• -0.66

Tags

CCSS.HSS.ID.A.4

Find the z-score given the following: $X\ =\ 45\ \ \ \mu\ =\ 41\ \ \ \sigma\ =\ 1.2$   
(Round to the nearest hundredth.)

• -3.33

• 0.88

• 2.30

• 3.33

Find the area under the normal curve to the RIGHT of z = 2.01.

• 0.0222

• 0.9778

• 0.0217

• 0.0228

Tags

CCSS.HSS.ID.A.4

The scores on a mathematics exam have a mean of 80 and a standard deviation of 6. Find the X-value that corresponds with the z-score 1.97. (Round to the nearest tenth.)

• 91.8

• 243.7

• 90.7

• 26.3

Tags

CCSS.HSS.ID.A.4

Find the probability associated with the z-score shown in the indicated region.

• 0.9706

• 0.9545

• 0.9633

• 0.0367

Tags

CCSS.HSS.ID.A.4

Find the area of the indicated region under the standard normal curve.

• 0.5040

• 0.9913

• 0.4873

• 0.5123

Tags

CCSS.HSS.ID.A.4