**Understanding Normal Distribution in Thermometer Readings**Assume that the readings at freezing on a batch of thermometers follow a normal distribution with a mean of 0°C and a standard deviation of 1.00°C.When a single thermometer is randomly selected and tested, let \( Z \) represent its reading at freezing. Our goal is to determine what reading separates the highest 5.66% from the rest. In statistical terms, we need to find the value \( c \) such that the probability that \( Z \) is greater than \( c \) is 0.0566. That is, find \( c \) where:\[ P(Z > c) = 0.0566 \]\[ c = \, \text{_____} \,^{\circ}\text{C} \]In this problem, you would refer to a z-table or use statistical software to determine the critical value \( c \) for a standard normal distribution.

The standard normal variable z follows normal distribution with mean 0 and standard deviation 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 5.66% from the rest? That is, if P(z > c) = 0.0566, find c. c = °C

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 5.66% from the rest? That is, if P(z > c) = 0.0566, find c. c = °C

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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