**Educational Content on Thermometer Readings and Normal Distribution****Topic: Analyzing Thermometer Readings at Tongass National Park**Thermometers used at the Tongass National Park in Alaska are designed to show a reading of 0°C at the freezing point of water. However, variations occur: some thermometers indicate readings below 0°C (denoted by negative numbers) and others above 0°C (denoted by positive numbers).For this scenario:- **Mean Reading:** 0°C- **Standard Deviation:** 1.00°CIt is assumed that these readings follow a normal distribution. A thermomer randomly selected for testing could read inaccurately. If 2% of thermometers are considered inaccurate due to excessively low readings (while all others are within acceptable range), we need to determine the temperature threshold below which thermometers are rejected.**Task:** Round your determined temperature to two decimal places.**Temperature Calculation:**- **Temperature =** [Your final calculated value here]**Instructions for Shading the Graph:**The task involves identifying the temperature that marks the threshold for rejection. 1. **Shade Region:** Use the graph to shade the left side of this critical temperature value, ensuring the area represents 2% of the normal distribution curve.2. **Adjustment:** Adjust values using the slider to pinpoint the critical temperature.**Graph Explanation:**The graph represents a bell-shaped curve typical of a normal distribution. The x-axis is marked with values ranging from -4 to 4.- **Shaded Area:** The blue region on the left indicates the proportion (2%) of thermometers with low readings that are rejected.- **Critical Value:** Denoted at approximately -1.5, where shading should be adjusted to meet the 2% criterion.Use interactive tools to accurately adjust and determine the shaded region, ensuring precision in identifying the rejection threshold for thermometer readings.

Given that, μ=0σ=1 By using the standard normal table, P(Z>z) = 2% 1-P(Z<z) = 0.02P(Z<z) =…

Thermometers used at the Tongas National Park in Alaska are supposed to give readings of 0° C at the freezing point of water. However, not all thermometers do, some give readings below 0°C (denoted by negative numbers) and some give readings above 0° C (denoted by positive numbers). Assume that the mean reading is 0° C and the standard deviation is 1.00° C . Also assume that these readings are normally distributed. A thermometer is randomly selected and tested. If 2% of the thermometers are rejected because they have readings that are too high (but all other thermometers are acceptable), find the the temperature that separates the rejected thermometers from the others. Round your answer to two decimal places. Temperature = Shade the appropriate region be sure to round you previous answer to one decimal place in order to graph: Shade: Left of a value ). Click and drag the arrows to adjust the values.

Thermometers used at the Tongas National Park in Alaska are supposed to give readings of 0° C at the freezing point of water. However, not all thermometers do, some give readings below 0°C (denoted by negative numbers) and some give readings above 0° C (denoted by positive numbers). Assume that the mean reading is 0° C and the standard deviation is 1.00° C . Also assume that these readings are normally distributed. A thermometer is randomly selected and tested. If 2% of the thermometers are rejected because they have readings that are too high (but all other thermometers are acceptable), find the the temperature that separates the rejected thermometers from the others. Round your answer to two decimal places. Temperature = Shade the appropriate region be sure to round you previous answer to one decimal place in order to graph: Shade: Left of a value ). Click and drag the arrows to adjust the values.

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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