Suppose you are investigating the relationship between two variables, traffic flow and expected lead content, where traffic flow is a predictor of lead content. You find the 95% CI for expected lead content when traffic flow is 15, based on a sample of n = 8 observations, is (465.3, 594.5). What parameter is this interval estimating?

The interval on this case is provided (465.3, 594.5) we can calculate th sample mean on this case:

The margin of error for this case would be:

And for this case the parameter of interest is the true mean for the xpected lead content.

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 for the sample  

population mean (variable of interest)

s represent the sample standard deviation

n=8 represent the sample size  

Confidence = 0.95 or 95%

Solution to the problem

The confidence interval for the mean is given by the following formula:

  (1)

The interval on this case is provided (465.3, 594.5) we can calculate th sample mean on this case:

The margin of error for this case would be:

And for this case the parameter of interest is the true mean for the xpected lead content.

step-by-step explanation:

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