Give me a paragraph of what it means to be a global scholar
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Answer:
a) [24.114,29.2858]
b) Since 30 is not in the 95% confidence interval, there is a 95% probability that 30 is not the true mean WEP
Step-by-step explanation:
a)
The 95% confidence interval is given by the interval
where
= 26.7 is the sample mean
s = 17.7 is the sample standard deviation
n = 180 is the sample size
Since the sample size is big enough, we can use the Normal N(0,1) to compute and it would be 1.96(*) (a value such that the area under the Normal curve outside the interval [-z, z] is 5% (0.05))
and our 95% confidence interval is
(*)
This value can be computed in Excel with
<em>NORMINV(1-0.025,0,1)</em>
and in OpenOffice Calc with
<em>NORMINV(1-0.025;0;1)</em>
b)
Since 30 is not in the 95% confidence interval, there is a 95% probability that 30 is not the true mean WEP
Answer and Step-by-step explanation:
A) For the model to be a probability distribution, it has to follow two conditions:
1) The probability of each value of the discrete random variable is between, and included, 0 and 1:
2) The sum of all probabilities is 1;
In the table shown, the probabilities are from 0 to 0.3 - between 0 and 1;
Adding the probabilities: 0 + 0.3 + 0.1 + 0.3 + 0.3 = 1
Therefore, this model is a valid probability distribution model.
B) They are discrete because each value correspond to a finite number of possible values.
C) Expected value is calculated by
E(X) = 2.6
D) P(X=3) = P(3), which means probability of 3:
P(X=3) = 0.3
E) P(X<4): probabilities of values of X that are less than 4:
P(X<4) = P(0) + P(1) + P(2) + P(3)
P(X<4) = 0 + 0.3 + 0.1 + 0.3
P(X<4) = 0.7
F) P(X>0) = P(1) + P(2) + P(3) + P(4)
P(X>0) = 0.3 + 0.1 + 0.3 + 0.3
P(X>0) = 1
G) P(X=5) = P(5)
There is no probability of P(5) because the model doesn't "cover" that number.
H) P(X=0) = P(0)
P(X=0) = 0
I) The total area of any density curve is 1 because it represents all the possible values a variable can assume.