Answer:
a)
And we can conclude that we are 95% confident that the true mean of Co2 level is between 608.29 and 700.03 ppm
b)
Step-by-step explanation:
Part a
The confidence interval for the mean is given by the following formula:
(1)
In order to calculate the critical value
we need to find first the degrees of freedom, given by:
Since the Confidence is 0.95 or 95%, the value of
and
, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,51)".And we see that
Replacing we got:
And we can conclude that we are 95% confident that the true mean of Co2 level is between 608.29 and 700.03 ppm
Part b
The margin of error is given by :
(a)
The desired margin of error is ME =50/2=25 and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
The critical value for 95% of confidence interval now can be founded using the normal distribution. And in excel we can use this formla to find it:"=-NORM.INV(0.025;0;1)", and we got
, and we use an estimator of the population variance the value of 175 replacing into formula (b) we got:
Answer:
80 grapes
Step-by-step explanation:
6 pounds x 40 = 240
240 / 3 = 80
or you can do:
6 / 3 = 2
2 x 40 = 80
1,59 and 1,61 are the prime factoratiozons for 59 and 61
Answer:
.
Reference angle is 
Step-by-step explanation:
Given the value of x. we have to find the correct value of cosx.

Now, we have to find the exact value of 



Now, we have to find the reference angle of
.
Since the angle
lies in second quadrant, the reference angle formula is
Reference angle=
.
=
Answer: -3x+7
Step-by-step explanation: Good luck! :D