A chemist examines 12 sedimentary samples for bromide concentraction. The mean bromide concentration for the sample date is 0.437 cc/cubic meter with a standard deviation of 0.0325. Determine the 90% confidence interval for the population mean bromide consentraction. Assume the population is approximately normal.

a. Find the critical vaule that should be used in constructing the confidence interval. Round your answer to three decimal places.

b. Construct the 90% confidence interval. Round your answer to tree decimal places. Lower endpoint: Upper endpoint:

a)

b) Lower endpoint: 0.422cc/m³

Upper endpoint: 0.452 cc/m³

Step-by-step explanation:

Population is approximately normal, so we can find the normal confidence interval.

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 . This is the critical value, the answer for a).

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 0.437 - 0.015 = 0.422cc/m³.

The upper end of the interval is the sample mean added to M. So it is 0.437 + 0.015 = 0.452 cc/m³.

b)

Lower endpoint: 0.422cc/m³

Upper endpoint: 0.452 cc/m³

step-by-step explanation:

f(x)=2x^2 -1 

translation is a function transformation that transform the function in a way of translating. by translating the function its graph is moved  up an down. moving the function f(x) 2 units to the left will be the new function g(x) with the equation: g(x)=f(x+2)=2(x+2)^2 -1