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Rufina [12.5K]
3 years ago
9

A solar heating system costs $25,000 to install with a yearly operating cost of $300. An electric heating system costs $6,500 to

install but incurs a yearly operating cost of $4,000. How many years will pass before the total cost of the solar heating system is less than the total cost of the electric heating system? Round your answer to the nearest year, if needed. Type in your numerical answer only; do not type any words or letters with your answer.

Mathematics
1 answer:
Stells [14]3 years ago
5 0

Answer:

it should take around 4 to 5 years before you start to see a difference  

See the attachment for more info.

Step-by-step explanation:

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Answer:

Step-by-step explanation:

Hello!

X: content of sugar of a sample of cereal.

Data set:

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n= 16

\frac{}{X}= 0.295g

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You have to test if the mean sugar content is less than 0.3g

H₀: μ ≥ 0.3

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α: 0.05

Assuming that the variable has a normal distribution, you have to conduct a t test:

t= \frac{\frac{}{X}-Mu }{\frac{S}{\sqrt{n} } } ~~t_{n-1}

t_{H_0}= \frac{0.295-0.30}{\frac{0.17}{\sqrt{16} } } = -0.12

p-value: 0.4533

The p-value is greater than α, the decision is to not reject the null hypothesis.

At a 5% significance level the decision is to not reject the null hypothesis. You can conclude that the average sugar content of the cereal is equal or greater than 0.3g of sugar per gram of cereal.

I hope this helps!

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