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shtirl [24]
4 years ago
9

The function f(x) = 50(0.952)x, where x is the time in years, models a declining feral cat population. How many feral cats will

there be in 9 years?
a) about 428 feral cats
b) about 42 feral cats
c) about 51 feral cats
d) about 459 feral cats


I need the answer along with an explanation so that I can know how to solve the other problems on my own :) :) :)
Mathematics
1 answer:
Eva8 [605]4 years ago
8 0

Answer:

A)

Step-by-step explanation:

 Since we are given the function, we can simply plug in the x as 9. So we get 50(0.952)9. Solving this, we get 450(.952) and this is about 428. SO our answer is a) about 428 feral cats.

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For this case we assume that we are testing the following system of hypothesis

H0: \mu \leq \mu_o

H1: \mu > \mu_o

n = 13 represent the sample size

t = 1.6 represent the calculated statistic

The degrees of freedom are given by:

df = n-1 = 13-1=12

We can calculathe the p value with this formula:

p_v = P(t_{12} >1.6) = 0.068

Since p_v >\alpha we fail to reject the null hypothesis on this case at 5% of significance.

Part b

For this case we assume that we are testing the following system of hypothesis

H0: \mu \geq \mu_o

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t = -1.6 represent the calculated statistic

The degrees of freedom are given by:

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We can calculathe the p value with this formula:

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