Jane drove 260 miles using 12 gallons of gas. At this rate, how many gallons of gas would she need to drive 286 miles
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Note :- If sample size n > 30 OR Population standard deviation σ is given then We use Z test.
If sample size n < 30 AND Population standard deviation σ is unknown then we use t test.
In this question we are not given Population standard deviations σ1 and σ2.
Also n1 = 14 and n2 = 13 both sample sizes are LESS than 30.
Therefore we use t test.
Given :- Assume the population standard deviations are equal. ( σ1 = σ2)
then Degrees of freedom = n1 + n2 - 2 = 14 + 13 - 2 = 25.
(kindly find the image attached with this solution)
Answer :- Therefore 25 degrees of freedom are used to find the t critical value.
A statement which best describes the strength of the correlation, and the causation between the variables is that: D. it is a strong positive correlation, and it is likely causal.
<h3>What is a positive correlation?</h3>A positive correlation can be defined as a terminology that is used to described a scenario (situation) in which two variables move in the same direction and are in tandem.
This ultimately implies that, a positive correlation exist when two variables have a linear relationship or are in direct proportion. Hence, when one variable increases, the other increases as well, and vice-versa.
By critically observing the scatter plot (see attachment) which models the data in the given table, we can infer and logically deduce that the value on the y-axis (circumference) increases as the value on the x-axis (radius) increases, so this is a strong positive correlation.
Also, we know that there exist a direct relationship between the circumference of a circle and its radius, so this relationship is most likely causal.
In conclusion, a statement which best describes the strength of the correlation, and the causation between the variables is that it's a strong positive correlation, and it is likely causal.
Read more on positive correlation here: brainly.com/question/10644261
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