At the moment a hot cake is put in a cooler, the difference between the cake's and the cooler's temperatures is 50\degree50°50,
2 answers:
Answer:
Step-by-step explanation:
The equation for exponential decay function is given as:
where:
D(t)= difference in temperature t=time
r=rate of change
a =initial value of the temperature
From the given problem:
Initial Temperature,a=50°C
Rate of Decay,r=
Therefore the function for the difference in temperature is given as:
We can convert to decimal and write the function as:
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Answer:
We conclude that the plant should shut down.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 60
Sample mean, = 61.498
Sample size, n = 100
Alpha, α = 0.05
Population standard deviation, σ = 6
a) First, we design the null and the alternate hypothesis such that the power plant will be shut down when the null hypothesis is rejected.
We use One-tailed(right) z test to perform this hypothesis.
b) Formula:
Putting all the values, we have
Now,
Since,
We reject the null hypothesis and accept the alternate hypothesis. Thus, the temperature of waste water discharged is greater than 60°F. We conclude that the power plant will shut down.
Calculating the p-value from the z-table:
P-value = 0.0063
Since,
P-value < Significance level
We reject the null hypothesis and accept the alternate hypothesis. Thus, the temperature of waste water discharged is greater than 60°F. We conclude that the power plant will shut down.