Achemist examines 17 seawater samples for iron concentration for the sample data is 0.704 cc/cubic meter with a standard deviation of 0.0142. determine the 99% confidence interval for the population mean from concentration. assume the population is approx. normal.

step 1. find the critical value that should be used in constructing the confidence interval ( round your answer to 3 decimal places)

step 2. construct the 99% confidence interval (round answer to 3 decimal places)

Critical value:

99% confidence interval: (0.695 cc/cubic meter, 0.713 cc/cubic meter).

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 is the critical value

Now, find M as such

The lower end of the interval is the mean subtracted by M. So it is 0.704 - 0.0089 = 0.695 cc/cubic meter.

The upper end of the interval is the mean added to M. So it is 0.704 + 0.0089 = 0.713 cc/cubic meter.

So

99% confidence interval: (0.695 cc/cubic meter, 0.713 cc/cubic meter).

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