The heights of dogs, in inches, in a city are normally distributed with a population standard deviation of 4 inches and an unknown population mean. If a random sample of 18 dogs is taken and results in a sample mean of 32 inches, find the error bound (EBM) of the confidence interval with a 90% confidence level.

The error bound (EBM) of the confidence interval with a 90% confidence level is 1.55 inches.

Step-by-step explanation:

We have that to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of .

So it is z with a pvalue of , so

Now, find the margin of error, or error bound, M as such

So

The error bound (EBM) of the confidence interval with a 90% confidence level is 1.55 inches.

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