Aphysicist examines 28 sedimentary samples for mercury concentration. the mean mercury concentration for the sample data is 0.863 cc/cubic meter with a standard deviation of 0.0036. determine the 98% confidence interval for the population mean mercury concentration. assume the population is approximately normal. step 2 of 2: construct the 98% confidence interval. round your answer to three decimal places.

Step-by-step explanation:

The confidence interval for population mean is given by :-

, where n=sample size

= sample mean

=sample standard deviation

= critical t-value (for two tailed )

Let   be the confidence interval for the population mean mercury concentration.

As per given , we have

Sample size : n= 28

degree of freedom = 27   [df=n-1]

Sample mean : cc/cubic meter

Sample standard deviation : s= 0.0036

Significance level :

Critical two-tailed test value :

 (Using t-distribution table.)

We assume the population is approximately normal.

Now, the 98% confidence interval for the population mean mercury concentration will be :-

Required confidence interval :

the correct answer is 5