An environmental engineer is tasked with determining whether a power plant cooli
ID: 3258293 • Letter: A
Question
An environmental engineer is tasked with determining whether a power plant cooling system is heating the water it uses more than allowed by environmental regulations. They measure water temperatures at the cooling system input and the cooling system output for several different days in several different seasons.A table containing these measurements is below:
Do a statistical analysis on this data to determine if the temperature change between the input and output of the cooling system is different than 6 degrees.
1. What do your analysis indicate?
A) The cooling system changes the temperature of the water by an amount different than 6 degrees.
B) The cooling system changes the temperature of the water by 6 degrees.
2. What is the P-value?
A) 0.001
B) 0.026
C) 0.049
D) 0.070
E) 0.110
F) 0.131
G) 0.148
H) 0.243
I) 0.278
J) 0.289
Thank you, in advance, for your help!
Sample Input Temperature (degrees F) Output Temperature (degrees F) 1 57.6 66 2 68.9 75.4 3 68.1 76.6 4 47.7 54 5 48.1 56.2 6 67.2 76 7 69.9 76.9 8 48.1 56.6 9 35 39.9 10 56 62.5 11 44.3 51.3Explanation / Answer
result from excel for t-test
since p-value for two-tail is 0.8 > 0.05
we fail to reject the null and conclude that
The cooling system changes the temperature of the water by 6 degrees.
2)p-value = 0.8017
t-Test: Two-Sample Assuming Equal Variances Variable 1 Variable 2 Mean 61.53636364 62.85454545 Variance 140.3265455 154.8647273 Observations 11 11 Pooled Variance 147.5956364 Hypothesized Mean Difference 0 df 20 t Stat -0.254460223 P(T<=t) one-tail 0.400869017 t Critical one-tail 1.724718243 P(T<=t) two-tail 0.801738035 t Critical two-tail 2.085963447