Question

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 %.

Answer 1

Answer:

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<z)=0.98

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°