A student researcher measured the cadmium (Cd2+) content in a standard reference material (SRM) using graphite furnace atomic absorption spectrometry (GFAAS). With 7 replicate measurements, the researcher determined a mean Cd2 concentration of 2.899 ppb with a standard deviation of 0.001 ppb. Calculate the 99% confidence interval for this sample. Enter your answer with three significant figures.

The 99% confidence interval for this sample mean is between 2.895 ppb and 2.903 ppb.

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 7 - 1 = 6

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 6 degrees of freedom(y-axis) and a confidence level of . So we have T = 3.7074

The margin of error is:

M = T*s = 3.7074*0.001 = 0.004

In which s is the standard deviation of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 2.899 - 0.004 = 2.895 ppb.

The upper end of the interval is the sample mean added to M. So it is 2.899 + 0.004 = 2.903 ppb.

The 99% confidence interval for this sample mean is between 2.895 ppb and 2.903 ppb.

the ratio of white tiles to blue tiles is 48: 16. the ratio in it's simplest form is 3: 1.

step-by-step explanation:

ratio: take the first number and add a colon next to it, then add the second number after that. make sure the ratio order matches up with the written problem!

simplest form: we can simplify the ratio 48 : 16 by dividing both terms by the greatest common factor (gcf).

the gcf of 48 and 16 is 16.

divide both terms by 16:

48 ÷ 16 = 3

16 ÷ 16 = 1

reducing to simplest form:

48 : 16 = 3 : 1

b

step-by-step explanation:

the word superfluous means unnecessary