Option A
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Answer:
Reject H0 since test statistic <-2.492
Step-by-step explanation:
Given that the American Water Works Association reports that the per capita water use in a single-family home is 74 gallons per day.
n = 25
x bar = 69
s= 8.3
std error = s/sqrt n = 
H0:
Ha: 
(Left tailed test at 5% significance level)
a) Reject H0 if t
-2.492
b) Test statistic = mean difference/std error
= 
=-3.01
df =24
c) Reject H0
Answer:
87,000 ; 10.6%
Step-by-step explanation:
Given the function :
P(t)=87,000e^0.106t
P(t) is an exponential function ; comparing the given function to the general form of an exponential function :
y = Ae^rt
Where,
A = initial amount ; r = growth rate ; t = time
The Given function models t years after 2010, that is the 2010 population is the initial population of the city.
Comparing the general exponential equation with the function given:
A = 87,000 = population of city in 2010
The growth rate :
rt from the general equation compares to 0.106t in the given function.
rt = 0.106t
r = 0.106
Hence, the rate of change = 0.106 * 100% = 10.6%