Since in this case we are
only using the variance of the sample and not the variance of the real population,
therefore we use the t statistic. The formula for the confidence interval is:
<span>CI = X ± t * s / sqrt(n) ---> 1</span>
Where,
X = the sample mean = 84
t = the t score which is
obtained in the standard distribution tables at 95% confidence level
s = sample variance = 12.25
n = number of samples = 49
From the table at 95%
confidence interval and degrees of freedom of 48 (DOF = n -1), the value of t
is around:
t = 1.68
Therefore substituting the
given values to equation 1:
CI = 84 ± 1.68 * 12.25 /
sqrt(49)
CI = 84 ± 2.94
CI = 81.06, 86.94
<span>Therefore at 95% confidence
level, the scores is from 81 to 87.</span>
Answer:
Correct answer: sin 2Θ = - 24/25
Step-by-step explanation:
If under the standard position you think that the first arm (side) belongs to the positive direction of the x axis and the second one passes through a given point then it is:
if we form a right triangle with sides 3 and 4 then the hypotenuse is 5.
sin Θ = 4/5 and cos Θ = - 3/5
we know that the formula for double the value of the angle is:
sin 2Θ = 2 sinΘ cosΘ = 2 · 4/5 · ( - 3/5) = - 24/25
sin 2Θ = - 24/25
God is with you!!!
Answer:
"Round" (and any subsequent words) was ignored because we limit queries to 32 words.
Hope it can help you.....
Answer:
x=41
Step-by-step explanation:
