MATH SOLVE

3 months ago

Q:
# Assume that the readings on the thermometers are normally distributed with a mean of 0 degrees and standard deviation of 1.00degreesC. A thermometer is randomly selected and tested. Draw a sketch and find the temperature reading corresponding to Upper P 88β, the 88 th percentile. This is the temperature reading separating the bottom 88 % from the top 12 %.

Accepted Solution

A:

Answer:1.18Β°Step-by-step explanation:Draw the normally distributed curve as in the image attached.The value corresponding to the percentile can be found using the z-score.The z-score table can be used in reverse order. After locating 88% or rather 0.88(or as close to it as possible) because the table is in decimals not percentages.Back Calculating the z score88% corresponds to a z score of 1.18z score formula:[tex]z=\frac{x-mean}{Standard Deviation}[/tex]Substituting z, then x can be solved as 1.18Β°