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daydallas01
22.04.2020 •
Mathematics
A researcher studying reaction time of drivers states that, "A 95% confidence interval for the mean time (8.1) it takes for a driver to apply the brakes after seeing the brake lights on a vehicle in front of him is 1.2 to 1.8 seconds. What are the point estimate and margin of error for this interval?
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Ответ:
For this case we know that the confidence interval is given by (1.2 , 1.8) and the point of estimate for
would be:
And the margin of error is given by:
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".
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:
For this case we know that the confidence interval is given by (1.2 , 1.8) and the point of estimate for
would be:
And the margin of error is given by:
Ответ:
the 3rd on is correct
step-by-step explanation: