A company produces electric devices operated by a thermostatic control. A random sample of 20 of...

 

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A company produces electric devices operated by a thermostatic control. A random sample of 20 of these controls was observed. The collected data of the temperature at which there controls operate is as follows (in °F): 126.4 120.2 112.2 113.0 130.5 113.5 127.6 130.6 120.5 123.6 125.8 127.5 123.5 120.6 123.8 126.4 117.8 122.9 112.1 125.8 a. The variance of the temperature at which these controls actually operate should not exceed 31°F. Test, at the 5% level, the null hypothesis that the population variance exceeds 31°F. Write a detailed interpretation of the test result. b. Explain how you could answer the question in part (a) by calculating an appropriate confidence bound on the variance temperature. Write an interpretation. c. Is there enough evidence to support the claim that the mean temperature is 120°F? Use a = 0.01 d. Explain how you could answer the question in part (c) by calculating an appropriate confidence bound on the mean temperature. Write an interpretation. e. What is the p-value of the test in (c)? Make a conclusion and compare your answer to (c)'s answer. A company produces electric devices operated by a thermostatic control. A random sample of 20 of these controls was observed. The collected data of the temperature at which there controls operate is as follows (in °F): 126.4 120.2 112.2 113.0 130.5 113.5 127.6 130.6 120.5 123.6 125.8 127.5 123.5 120.6 123.8 126.4 117.8 122.9 112.1 125.8 a. The variance of the temperature at which these controls actually operate should not exceed 31°F. Test, at the 5% level, the null hypothesis that the population variance exceeds 31°F. Write a detailed interpretation of the test result. b. Explain how you could answer the question in part (a) by calculating an appropriate confidence bound on the variance temperature. Write an interpretation. c. Is there enough evidence to support the claim that the mean temperature is 120°F? Use a = 0.01 d. Explain how you could answer the question in part (c) by calculating an appropriate confidence bound on the mean temperature. Write an interpretation. e. What is the p-value of the test in (c)? Make a conclusion and compare your answer to (c)'s answer.

Answer rating: 100% (QA)

a The hypothesis being tested is Ho 0 31 H0 31 The output is 3100... View the full answer