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Suppose Z ~ N(0, 1). Use the standard Normal table or your calculator to find P(z  -2.30). 1.0.0107 2.0.0099 3.0.9893 4.0.9901 5.0.9898 10.

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Presentation on theme: "Suppose Z ~ N(0, 1). Use the standard Normal table or your calculator to find P(z  -2.30). 1.0.0107 2.0.0099 3.0.9893 4.0.9901 5.0.9898 10."— Presentation transcript:

1 Suppose Z ~ N(0, 1). Use the standard Normal table or your calculator to find P(z  -2.30)

2 Suppose Z ~ N(0, 1). Use the standard normal table or your calculator to determine P(-2.25 < z < 1.77)

3 What is the 50 th percentile of the standard normal distribution? 1.z = z = z = z = z =

4 What is the 67 th percentile of the standard normal distribution? 1.z = z = z = z = z =

5 The SAT scores of incoming NCSU freshmen can be approximated by a normal model with mean 1775 and standard deviation 135 (2400 point scale). What proportion of incoming freshmen score between 1559 and 2072?

6 The SAT scores of incoming NCSU freshmen can be approximated by a normal model with mean 1775 and standard deviation 135 (2400 point scale). The scholarship office will offer scholarships to students who score in the top 2.28%. What is the lowest score a student can achieve and be eligible for a scholarship?

7 A box of Extreme Choco Loops cereal is marked “Net Wt. 12 oz.” If the actual weight can be approximated by a normal model with mean 12 oz. and standard deviation 0.2 oz, what is the probability that a box weighs less than 12 oz?

8 A box of Extreme Choco Loops cereal is marked “Net Wt. 12 oz.” If the actual weight can be approximated by a normal model with mean 12 oz. and standard deviation 0.2 oz, what weight will be exceeded by 2.5% of the boxes? oz oz oz oz. 10

9 The cholesterol levels of adult American women can be approximated by a normal model with mean 188 mg/dL and a standard deviation of 24. Approximately what cholesterol value is the cutoff for the first quartile of adult American women cholesterol levels?


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