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Hey there, welcome to numerate.
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We're asked to constructed 95 % confidence interval for the population mean of the number of papers published in major world cities.
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Now for this, we're going to write our confidence interval first.
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So we have our confidence interval equals our x bar, which is our sample mean.
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And with our sample mean, it's going to be plus and minus.
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Our t critical values, since we're not given a population standard.
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Standard deviation over here.
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And with this, we're going to multiply by our sample standard deviation divided by the square root of our sample size.
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So let's plug in our values here.
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So we have our confidence interval equals.
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So x bar is our mean, which we have to find.
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We have to find the average of the values here.
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So let's go ahead and do that.
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So x bar equals the sum of x.
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Divided by our sample size n.
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We calculate our mean and we get a value of around 14 .25...