The director of a hospital wishes to estimate the mean number of people who are admitted to the emergency room during a 24 dash hour period. The director randomly selects 49 different 24 dash hour periods and determines the number of admissions for each. For this sample, x overbar equals 15.8 and s squared equals 9. Estimate the mean number of admissions per 24 dash hour period with a 99% confidence interval.

The 99% confidence interval for the mean number of admissions per 24 dash hour period is between 14.7 and 16.9.

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 M as such

In which is the standard deviation of the population and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 15.8 - 1.1 = 14.7.

The upper end of the interval is the sample mean added to M. So it is 15.8 + 1.1 = 16.9.

The 99% confidence interval for the mean number of admissions per 24 dash hour period is between 14.7 and 16.9.

5x+10 is the correct one

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