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average of new thermostat has been engineered for the frozen food cases in large supermarkets. Both the old and new mostats hold tempera the sense that it will hold temperatures closer to 25°F. One frozen food case was equipped with the new thermostat, and a random sample of 21 temperature readings gave a sample variance of 4.7. Another similar frozen food cas equipped with the old thermostat, and a random sample of 16 temperature readings gave a sample variance of 12.5. Test that the population variance of the old thermostat temperature readings is different than that for the new t Assume an alpha of 10%. (Let population 1 refer to data from the old thermostat.)

average of new thermostat has been engineered for the frozen food cases in large supermarkets. Both the old and new mostats hold tempera the sense that it will hold temperatures closer to 25°F. One frozen food case was equipped with the new thermostat, and a random sample of 21 temperature readings gave a sample variance of 4.7. Another similar frozen food cas equipped with the old thermostat, and a random sample of 16 temperature readings gave a sample variance of 12.5. Test that the population variance of the old thermostat temperature readings is different than that for the new t Assume an alpha of 10%. (Let population 1 refer to data from the old thermostat.)

MATLAB: An Introduction with Applications
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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A new thermostat has been engineered for the frozen food cases in large supermarkets. Both the old and new thermostats hold temperatures at an average of 25°F. However, it is hoped that the new thermostat might be more dependa the sense that it will hold temperatures closer to 25°F. One frozen food case was equipped with the new thermostat, and a random sample of 21 temperature readings gave a sample variance of 4.7. Another similar frozen food case wa equipped with the old thermostat, and a random sample of 16 temperature readings gave a sample variance of 12.5. Test that the population variance of the old thermostat temperature readings is different than that for the new therm Assume an alpha of 10%. (Let population 1 refer to data from the old thermostat.) (a) What is the level of significance? (Enter as a decimal.) State the null and alternative hypotheses. OH: 0₂²=0,₂²; H₂:0₂ ² <0₂² OH: 0₂²=0₂²; ₁₂:0₁²-0₂2 OH: 0₂20₂²; H₂ : 0₁₂²=0₂² OH₂₁:0₂²=0₂2²; H₁₂:0₂ ² > 0₂² (b) Find the value of the F test statistic. (Round your answer to two decimal places.) What are the degrees of freedom? df1 = df numerator df2= df denominator (c) Find the P-value of the test. (Round your answer to four decimal places.)
Transcribed Image Text:A new thermostat has been engineered for the frozen food cases in large supermarkets. Both the old and new thermostats hold temperatures at an average of 25°F. However, it is hoped that the new thermostat might be more dependa the sense that it will hold temperatures closer to 25°F. One frozen food case was equipped with the new thermostat, and a random sample of 21 temperature readings gave a sample variance of 4.7. Another similar frozen food case wa equipped with the old thermostat, and a random sample of 16 temperature readings gave a sample variance of 12.5. Test that the population variance of the old thermostat temperature readings is different than that for the new therm Assume an alpha of 10%. (Let population 1 refer to data from the old thermostat.) (a) What is the level of significance? (Enter as a decimal.) State the null and alternative hypotheses. OH: 0₂²=0,₂²; H₂:0₂ ² <0₂² OH: 0₂²=0₂²; ₁₂:0₁²-0₂2 OH: 0₂20₂²; H₂ : 0₁₂²=0₂² OH₂₁:0₂²=0₂2²; H₁₂:0₂ ² > 0₂² (b) Find the value of the F test statistic. (Round your answer to two decimal places.) What are the degrees of freedom? df1 = df numerator df2= df denominator (c) Find the P-value of the test. (Round your answer to four decimal places.)
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