## known to be normally distributed with a standard deviation of $2.50. The last seven times John has taken a taxi from Logan to downtown Bosto

Question

known to be normally distributed with a standard deviation of $2.50. The last seven times John has taken a taxi from Logan to downtown Boston, the fares have been $22.10, $23.25, $21.35, $24.50, $21.90, $20.75, and $22.65. Construct a 95% confidence interval for the population mean.

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2021-09-15T07:21:16+00:00
2021-09-15T07:21:16+00:00 1 Answer
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## Answers ( )

Answer:The 95% confidence interval for the population mean is between $20.51 and $24.21.

Step-by-step explanation:The first step to find this question is find the sample meanConfidence intervalWe have that to

findour 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 M as suchIn which is the standard deviation of the population and n is the size of the sample.

The

lower endof the interval is the sample mean subtracted by M. So it is 22.36 – 1.85 = $20.51The

upper endof the interval is the sample mean added to M. So it is 22.36 + 1.85 = $24.21The 95% confidence interval for the population mean is between $20.51 and $24.21.