The mean water temperature downstream from a discharge pipe at a power plant cooling tower should be no more than 100°F. Past studies has shown that the standard deviation of temperature is 2°F. The water temperature was measured on 10 randomly chosen days, and the results are shown below: 96.15 97.81 97.09 95.08 99.46 100.03 99.74 98.85 95.08 98.71   State the null hypothesis and alternative hypothesis for the above problem.  Is there evidence that the water temperature is acceptable at α = 1%? Compute the 95% confidence interval for the mean temperature of water.

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...
icon
Related questions
Question
100%

The mean water temperature downstream from a discharge pipe at a power plant cooling tower should be no more than 100°F. Past studies has shown that the standard deviation of temperature is 2°F. The water temperature was measured on 10 randomly chosen days, and the results are shown below:

96.15 97.81 97.09 95.08 99.46 100.03 99.74 98.85 95.08 98.71

 

  1. State the null hypothesis and alternative hypothesis for the above problem. 
  2. Is there evidence that the water temperature is acceptable at α = 1%?
  3. Compute the 95% confidence interval for the mean temperature of water.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 7 images

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Equality of Variances
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON