A chemist examines "15 sedimentary samples for nitrate concentration. The mean nitrate concentration for the sample data is 0.670 cc/cubic meter with a standard deviation of 0.0616." Determine the 80% confidence interval for the population mean nitrate concentration. Assume the population is approximately normal.

Respuesta :

Answer:

(0.649,0.691)

Step-by-step explanation:

Basically that is a problem about confidence Interval for a Popuplation Mean.

The formula for confidence interval is given by,

[tex]ci= \bar{x} \pm t*\frac{s}{\sqrt{n}}[/tex]

Degree of Freedom,

[tex]DF = 15-1 = 14[/tex]

The T-Table say that for 80% ci and DF = 14 the value of t must be 1.345.

[tex]ci = 0.670 \pm 1.345*\frac{0.0616}{\sqrt{15}}[/tex]

[tex]ci = 0.670 \pm 0.021[/tex]

[tex](0.649,0.691)[/tex]