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X is the weight in grams of a gear used in the rotary mechanism of a microwave oven. The pdf is
given as f(x) = 1/3 for 3.5 gram < x < 6.5 grams. The probability that the weight of one of these
parts is equal to 5 grams is: - CORRECT ANSWER-0
A standard normal variable is ________. - CORRECT ANSWER-A Contnuous Random Variable
The probability that random variable Z = 0 is: - CORRECT ANSWER-0
E(X^2) - [E(X)]^2 is: - CORRECT ANSWER-The variance of x
T or F: Both Z and T have ranges from -infinity to +infinity. - CORRECT ANSWER-True
Suppose we have a random variable, X, that is normally distributed with a mean equal to u and
a standard deviation equal to std. The standard error of the sample mean is: - CORRECT
ANSWER-std / sqrt(n)
, Suppose we have a random variable, X, that is normally distributed with a mean equal to u and
a standard deviation equal to std. A sample of n is taken from this distribution. E(X-bar) = -
CORRECT ANSWER-E(X)
Which of the following is true about Chi-Square random variable?
a) The area under its pdf is equal to 1/2.
b) It cannot be negative.
c) It is symmetric
d) It is a discrete random variable.
e) It cannot be positive. - CORRECT ANSWER-b) It cannot be negative.
Explanation: The range of a Chi-Square random variable is > 0.
Za/2 is the value on the z-axis such that the area under the standard normal pdf above that
value is 0.025. Determine the value of a. - CORRECT ANSWER-0.05
The Central Limit Theorem says that, no matter what probability distribution X has, the
distribution of X-bar will have the _______ pdf when the sample size is "large". - CORRECT
ANSWER-Normal
A possible conclusion from a hypothesis test is __________.
a) Accept the alternative hypothesis
b) Reject the alternative hypothesis
c) Reject the alternative hypothesis
d) Fail to reject the alternative hypothesis
e) None - CORRECT ANSWER-e) None
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