Answer:
The smoothing constant alpha is 0.20 (Option a)
Step-by-step explanation:
To solve this problem, first we write the succession of the simple exponential smoothing:
Where s(t) is the forecast for period t, s(t-1) is the forecast for period (t-1), xt is the real demand for period t, and alpha is the smoothing constant.
All but the alpha constant are known
s(t)=109.2
s(t-2)=110
xt=110-4=106
Then, we can calculate alpha as:
Answer:
The first row
Step-by-step explanation:
Letters A,B,C,D
Answer: 1/3
Step-by-step explanation:
Answer:
90% confidence interval -> {0.4529, 0.5871}
Step-by-step explanation:
<u>Check conditions for a 1-proportion z-interval:</u>
np>10 -> 150(0.52)>10 -> 78>10 √
n(1-p)>10 -> 150(1-0.52)>10 -> 72>10 √
Random sample √
n>30 √
For a 90% confidence interval, the critical value is z=1.645
The formula for a confidence interval is:
CI = p ± z√[p(1-p)/n]
<u>Given:</u>
p = 78/150 = 0.52
n = 150
z = 1.645
Therefore, the 90% confidence interval is:
CI = 0.52 ± 1.645√[0.52(1-0.52)/150] = {0.4529, 0.5871}
Context: We are 90% confident that the true proportion of all voters who
plan to vote for the incumbent candidate is contained within the interval
.
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<em>, where c is the hypotenuse. Since a is the hypotenuse, I switched the variables.</em>
<em> </em>
), and the hypotenuse is 2 (or
).