4x +6y = 18please answer this for me
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Answer:
c. Smoking is associated with lower birth weights. When smokers are compared to nonsmokers, we are 95% confident that the mean weight of babies born to nonsmokers will be between 76.5 grams to 486.9 grams more than the mean birth weight of babies born to smokers.
Step-by-step explanation:
The difference in mean birth weights (nonsmokers minus smokers) is 281.7 grams with a margin of error of 205.2 grams with 95% confidence.
Then, we know that the 95% confidence interval is (76.5, 486.9)
<em>a. We are 95% confident that smoking causes lower birth weights by an average of between 76.5 grams to 486.9 grams.</em>
False, it interprets the confidence interval as a probability for individual cases. The confidence interval is a range for the population mean.
<em>b. There is a 95% chance that if a woman smokes during pregnancy her baby will weigh between 76.5 grams to 486.9 grams less than if she did not smoke.</em>
False, it interprets the confidence interval as a probability for individual cases. The confidence interval is a range for the population mean.
<em>c. Smoking is associated with lower birth weights. When smokers are compared to nonsmokers, we are 95% confident that the mean weight of babies born to nonsmokers will be between 76.5 grams to 486.9 grams more than the mean birth weight of babies born to smokers.</em>
True.
<em>d. With such a large margin of error, this study does not suggest that there is a difference in mean birth weights when we compare smokers to nonsmokers.</em>
There is enough evidence, as the lower bound of the confidence is positive. This means that there is only a probability of 0.05/2=0.025 that the true mean weight difference is smaller than 76.5 grams.
The coefficients of the linear equation are:
- Rate of change = 4.2
- Initial value = 3.8
This means that the correct options are B and E.
<h3><u>How we can find the linear equation?</u></h3>
First, a general linear equation is written as:
y = a*x + b
Where a is the rate of change (also called slope) and b is the y-intercept (also called initial value).
If we know that the line passes through two points (x₁, y₁) and (x₂, y₂), then the rate of change is given by:
In this case, we know that the line passes through:
(1, 8) and (1.5 , 10.1)
Then the rate of change is:
So the line is something of the form:
y = 4.2*x + b
To find the value of b we can use one of the given points, I will use (1, 8).
This means that when x =1, we have y = 8, replacing that we get:
8 = 4.2*1 + b
8 - 4.2 = b
3.8 = b
So we have:
- Rate of change = 4.2
- Initial value = 3.8
Then the correct options are:
B and E.
If you want to learn more about linear equations, you can read: