Question

for a group experiment, your science class measured the fine-particulate concentration in the air at random places around campus, and estimated a sample average of 32 micrograms per cubic meter, if 225 readings were take, and the standard deviation of the sample measurement was 3 you are 99.7% confidence that actual concentration of fine particulates at the school is?

Answer 1

Answer:

$31.4,32.6$

Step-by-step explanation:

In the group experiment, 225 readings were taken, the estimated sample average or mean was 32 micro grams per cubic meter and the standard deviation of the sample measurement was 3.

So here,

n = sample size = 255,

μ = mean = 32,

σ = standard deviation = 3.

We have to find the confidence interval of 99.7% around the mean. For confidence interval of 99.7% z score is 3.

We know that confidence interval is,

$=\mu \pm z\dfrac{\sigma}{\sqrt{n}}$

Putting the values,

$=32 \pm 3\dfrac{3}{\sqrt{225}}$

$=32 \pm 3\dfrac{3}{15}$

$=32 \pm \dfrac{9}{15}$

$=32 \pm 0.6$

$=31.4,32.6$

Answer 2

Its 31.4 - 32.6 this for apex