The fuel efficiency of one type of car is recorded in a scatterplot where the amount of gas used, x (in gallons), is paired with
2 answers:
Answer:
The y-intercept is 0, which represents the amount of gas used when 0 miles are traveled. The slope is 28, which represents the miles that can be traveled with 1 gallon of gas
Step-by-step explanation:
Let
x----> the amount of gas used in gallons
y ---> the distance traveled in miles
we have
This linear equation represent a direct variation
The y-intercept is the value of y when the value of x is equal to zero
For x=0, y=0
That means ----> The y-intercept is 0, which represents the amount of gas used when 0 miles are traveled
The slope is
That means ----> The slope is 28, which represents the miles that can be traveled with 1 gallon of gas
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Answer:
Population mean = 7 ± 2.306 ×
Step-by-step explanation:
Given - A university researcher wants to estimate the mean number
of novels that seniors read during their time in college. An exit
survey was conducted with a random sample of 9 seniors. The
sample mean was 7 novels with standard deviation 2.29 novels.
To find - Assuming that all conditions for conducting inference have
been met, which of the following is a 94.645% confidence
interval for the population mean number of novels read by
all seniors?
Proof -
Given that,
Mean ,x⁻ = 7
Standard deviation, s = 2.29
Size, n = 9
Now,
Degrees of freedom = df
= n - 1
= 9 - 1
= 8
⇒Degrees of freedom = 8
Now,
At 94.645% confidence level
α = 1 - 94.645%
=1 - 0.94645
=0.05355 ≈ 0.05
⇒α = 0.5
Now,
= 0.025
Then,
= 2.306
∴ we get
Population mean = x⁻ ± ×
= 7 ± 2.306 ×
⇒Population mean = 7 ± 2.306 ×