Answer:
95% confidence interval for the population mean is 20.255 and 17.945
Step-by-step explanation:
given data
mean = 19.1
standard deviation = 1.5
n = 9
to find out
95% confidence interval for the population mean
solution
we know 95% confidence interval formula i.e.
mean +/- t * standard deviation/ .............1
here t for 9 students 2.31 ( from t table)
so put all value n t standard deviation and mean in equation 1
= mean +/- t * standard deviation/
= 19.1 +/- 2.31 * 1.5/
= 19.1 +/- 2.31 * 1.5/
= 20.255 and 17.945
95% confidence interval for the population mean is 20.255 and 17.945
Answer:
33.69
Step-by-step explanation:
has CDF
where
is the CDF of
. Since
are iid. with the standard uniform distribution, we have
and so
Differentiate the CDF with respect to
to obtain the PDF:
i.e.
has a Beta distribution
.
Answer:
x = 3/2 | y = -3
Step-by-step explanation:
Given equations:
- y = 2x - 6. . . .(i)
- y = -4x + 3. . . . (ii)
Substituting from equation (i) for y:
==> 2x - 6 = -4x + 3
==> 2x + 4x = 6 + 3
==> 6x = 9
<em>dividing both </em><em>sides by 3</em><em>:</em>
==> 2x = 3
==> x = 3/2
Substituting 3/2 for x in equation (i):
==> y = 2(3/2) - 6
==> y = 3 - 6
==> y = -3