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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). 1.0.0107 2.0.0099 3.0.9893 4.0.9901 5.0.9898 10

2 Suppose Z ~ N(0, 1). Use the standard normal table or your calculator to determine P(-2.25 < z < 1.77). 1.0.9494 2.0.9415 3.0.9477 4.0.9616 5.0.9432 10

3 What is the 50 th percentile of the standard normal distribution? 1.z = 0.50 2.z = 0.0 3.z = -0.5 4.z = 1.0 5.z = -1.0 10

4 What is the 67 th percentile of the standard normal distribution? 1.z = 0.67 2.z = 1.67 3.z = 0.44 4.z = -0.44 5.z = -0.67 10

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? 1.0.0409 2.0.9313 3.0.6 4.0.9320 5..513 10

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? 1.1505 2.2045 3.1908.47 4.1641.53 10

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? 1.0.68 2.0.12 3.0.50 4.0.34 5.0.84 10

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? 1.12.392 oz. 2.11.608 3.9.50 oz. 4.12.199 oz. 5.11.80 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? 1.164.15 2.171.8 3.204.19 4.182 5.194 10


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