Answer:
Claim is false
Step-by-step explanation:
Claim : A credit reporting agency claims that the mean credit card debt in a town is greater than $3500.
![H_0:\mu \leq 3500\\H_a:\mu = 3500](https://tex.z-dn.net/?f=H_0%3A%5Cmu%20%5Cleq%203500%5C%5CH_a%3A%5Cmu%20%3D%203500)
n = 20
Since n <30
So we will use t test
Formula : ![t =\frac{x-\mu}{\frac{s}{\sqrt{n}}}](https://tex.z-dn.net/?f=t%20%3D%5Cfrac%7Bx-%5Cmu%7D%7B%5Cfrac%7Bs%7D%7B%5Csqrt%7Bn%7D%7D%7D)
s = standard deviation = 391
x = 3600
n = 20
![t =\frac{3600-3500}{\frac{391}{\sqrt{20}}}](https://tex.z-dn.net/?f=t%20%3D%5Cfrac%7B3600-3500%7D%7B%5Cfrac%7B391%7D%7B%5Csqrt%7B20%7D%7D%7D)
![t =1.14](https://tex.z-dn.net/?f=t%20%3D1.14)
Degree of freedom = n-1 = 20-1 = 19
α=0.10
So, using t table
= 1.72
t critical > t calculated
So we accept the null hypothesis
Hence we reject the claim that the mean credit card debt in a town is greater than $3500.
Answer:
y = 3
Step-by-step explanation:
When x = -2, y = 3. You can tell because when you go to the -2 on the graph, and you move upwards, towards the line, the line lays on the point 3.
Answer:
Tyler should buy 2 goldfishes for his fish tank,
Step-by-step explanation:
First let's find the volume of the sphere, using the following equation:
![Volume = (4/3) * \pi * radius^3](https://tex.z-dn.net/?f=Volume%20%3D%20%284%2F3%29%20%2A%20%5Cpi%20%2A%20radius%5E3)
The radius is half the diameter, so the radius is 14/2 = 7 inches
Now, finding the volume, we have:
![Volume = (4/3) * \pi * 7^3](https://tex.z-dn.net/?f=Volume%20%3D%20%284%2F3%29%20%2A%20%5Cpi%20%2A%207%5E3)
![Volume = 1436.75\ in^3](https://tex.z-dn.net/?f=Volume%20%3D%201436.75%5C%20in%5E3)
Now, we know that we need to have 1 goldfish for every 693 in3 of water, so to find the number of goldfishes, we just need to divide the volume of the sphere by 693 (and round down the result if needed):
![Number\ of\ goldfishes = 1436.75 / 693 = 2.07 = 2\ goldfishes](https://tex.z-dn.net/?f=Number%5C%20of%5C%20goldfishes%20%3D%201436.75%20%2F%20693%20%3D%202.07%20%3D%202%5C%20goldfishes)
Tyler should buy 2 goldfishes for his fish tank,