Assume that the readings on the thermometers are normally distributed with a mean of 0 degrees0° and standard deviation of 1.00degrees°C. A thermometer is randomly selected and tested. Draw a sketch and find the temperature reading corresponding to Upper P 98P98 , the 98 th98th percentile. This is the temperature reading separating the bottom 98 %98% from the top 2 %.

Question

Mathematics

Mary

21 October, 06:22

Assume that the readings on the thermometers are normally distributed with a mean of 0 degrees0° and standard deviation of 1.00degrees°C. A thermometer is randomly selected and tested. Draw a sketch and find the temperature reading corresponding to Upper P 98P98 , the 98 th98th percentile. This is the temperature reading separating the bottom 98 %98% from the top 2 %.

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Simone Holden · Answer 1

2.06°

Step-by-step explanation:

The readings are normally distributed with mean 0° and standard deviation 1°. It means that the readings follows a standard normal distribution, so the reading that corresponds to the 98th percentile is equal to the z value that fulfill with:

P (Z
Then, using the standard deviation table, we have that the z value is equal to 2.06. it means that the reading that separate the bottom 98% from the top 2% is equal to 2.06°