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The mean water temperature downstream from a discharge pipe at a power plant cooling tower should be no more than 100°F. The water temperature is measured on 10 randomly chosen days, and the results are shown below: 96.15 97.81 97.09 95.03 99.46 100.03 99.74 98.85 95.08 98.71 a. State the null hypothesis and alternative hypothesis for the above problem. b. Is there evidence that the water temperature is acceptable at 1% level of significance? c. Find the 95% confidence interval for the mean water temperature. d. Check the results obtained in part b) and c} using Rstudio. Write your conclusion based on the p value obtained in RStudio.

The mean water temperature downstream from a discharge pipe at a power plant cooling tower should be no more than 100°F. The water temperature is measured on 10 randomly chosen days, and the results are shown below: 96.15 97.81 97.09 95.03 99.46 100.03 99.74 98.85 95.08 98.71 a. State the null hypothesis and alternative hypothesis for the above problem. b. Is there evidence that the water temperature is acceptable at 1% level of significance? c. Find the 95% confidence interval for the mean water temperature. d. Check the results obtained in part b) and c} using Rstudio. Write your conclusion based on the p value obtained in RStudio.

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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The mean water temperature downstream from a discharge pipe at a power plant cooling tower should be no more than 100°F. The water temperature is measured on 10 randomly chosen days, and the results are shown below: 96.15 97.81 97.09 95.03 99.46 100.03 99.74 98.85 95.08 98.71 a. State the null hypothesis and alternative hypothesis for the above problem. b. Is there evidence that the water temperature is acceptable at 1% level of significance? c. Find the 95% confidence interval for the mean water temperature. d. Check the results obtained in part b) and c} using Rstudio. Write your conclusion based on the p value obtained in RStudio.
Transcribed Image Text:The mean water temperature downstream from a discharge pipe at a power plant cooling tower should be no more than 100°F. The water temperature is measured on 10 randomly chosen days, and the results are shown below: 96.15 97.81 97.09 95.03 99.46 100.03 99.74 98.85 95.08 98.71 a. State the null hypothesis and alternative hypothesis for the above problem. b. Is there evidence that the water temperature is acceptable at 1% level of significance? c. Find the 95% confidence interval for the mean water temperature. d. Check the results obtained in part b) and c} using Rstudio. Write your conclusion based on the p value obtained in RStudio.
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