Standard Normal Distribution Check-in

The 40 yards sprint times for a soccer team are found to be normally distributed with a mean of 5.2 seconds and a standard deviation of 0.3 seconds.  What is the z-score for a player who runs a time of 5.6 seconds?

• -1.33
• 1.33
• 0.88
• 1.02

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CCSS.HSS.ID.A.4

The mean number of accidents a week at a company is 6.4 with a standard deviation of 1.5.  What proportion of weeks would you expect to have less than 5 accidents?

• 0.6915
• 0.1762
• 0.8238
• -0.93

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CCSS.HSS.ID.A.4

The mean number of accidents a week at a company is 6.4 with a standard deviation of 1.5.  What proportion of weeks would you expect to have more than 7 accidents?

• 0.3446
• 0.2856
• 0.4
• 0.6554

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CCSS.HSS.ID.A.4

The mean number of accidents a week at a company is 6.4 with a standard deviation of 1.5.  What proportion of weeks would you expect to have between 5 and 7 accidents?

• 0.1762
• 0.8238
• 0.6554
• 0.4792

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CCSS.HSS.ID.A.4

SAT scores are normally distributed with a mean of 1700 and a standard deviation of 125.

Find the proportion of scores that are below a 1500.

• 1.60%

• 5.48%

• 27.43%

• 94.52%

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CCSS.HSS.ID.A.4

SAT scores are normally distributed with a mean of 1700 and a standard deviation of 125.

You took the SAT, and your z-score was 3.1, what was your score?

• 2088

• 1313

• -13.58

• 1825

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CCSS.HSS.ID.A.4

SAT scores are normally distributed with a mean of 1700 and a standard deviation of 125.

You took the SAT, and the percentile you were in was 85%

What was your score?

• 1670

• 1830

• 1450

• 1950

The average waist size for teenage males is 29 inches with a standard deviation of 2 inches. 
If waist sizes are normally distributed, determine the z-score of a teenage male with a 33 inch waist.  

• 2
• 1
• -2
• -1

Tags

CCSS.HSS.ID.A.4

Pat and Tom took a test with mean 80 and SD 9. Pat scored a 76; Tom scored a 94. Find the percent of people between their scores.

• 68.78%

• 63.29%

• 61.06%

• 34.25%

Tags

CCSS.HSS.ID.A.4

μ = 70 , σ = 8 , X = 50 . Find z score

• 2.5
• -2.5
• 5.2
• -5.2

Tags

CCSS.HSS.ID.A.4