1. Assume that the readings at freezing on a batch of thermometers are normally
ID: 3075211 • Letter: 1
Question
1. Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C.
A single thermometer is randomly selected and tested. Let Z represent the reading of this thermometer at freezing. What reading separates the highest 2.54% from the rest? That is, if P(z>c)=0.0254P(z>c)=0.0254, find c.
2. Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C.
A single thermometer is randomly selected and tested. Let ZZ represent the reading of this thermometer at freezing. What reading separates the highest 3.05% from the rest? That is, if P(z>c)=0.0305P(z>c)=0.0305, find c.
Explanation / Answer
#1.
z-value for the area of 0.0254 in the right tail of the standard normal curve is 1.9532
Hence c = 1.9532
Value that seperates highest 2.54%
#2.
z-value for the area of 0.0305 in the right tail of the standard normal curve is 1.8735
Hence c = 1.8735
Value that seperates highest 3.05%
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