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.
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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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