Megan is currently in 8th grade and wants to start saving money for college. She wants to invest $2000 in a simple interest acco
2 answers:
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we are given
where
y is average gas mileage in miles per gallon
x is speed in miles per hour
we have to find average gas mileage at a speed of 60 miles per hour
so, we have
now, we can plug it and find y
we get
so,
the best approximate for the average gas mileage at a speed of 60 miles per hour is 30.7 mi/gal...........Answer
Answer:
The confidence interval for the mean is given by the following formula:
(1)
And for this case the 95% confidence interval is given by (2.13; 2.37)
We have a point of estimate for the sample mean with this formula:
And for the margin of error we have the following estimation:
Step-by-step explanation:
Previous concepts
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
represent the sample mean
population mean (variable of interest)
s represent the sample standard deviation
n represent the sample size
Solution to the problem
The confidence interval for the mean is given by the following formula:
(1)
And for this case the 95% confidence interval is given by (2.13; 2.37)
We have a point of estimate for the sample mean with this formula:
And for the margin of error we have the following estimation: