Answer:
(A) When the sample size increases, both α and β may decrease.
Step-by-step explanation:
Which of the following is correct?
(A) This option is right.
When a sample's size increases, the values for alpha and beta may decrease; if and only if sample size is the denominator in the slope equation (in each case) and the numerator stays the same (that is, ceteris paribus; all other things being equal). The larger the denominator, the smaller the slope value for alpha and beta.
(B) This option is wrong
Type 2 error can only occur when you fail to reject a true H0
(C) This option is wrong
Type 1 error can only occur if or when you don't reject a false H0
(D) This option is wrong
The level of significance is the probability of a Type 1 error, not the probability of a Type 2 error.
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Answer:
The correct option is 4. Neither A nor B represents a function.
Step-by-step explanation:
The given sets of ordered pairs are


A set of ordered pairs represents a function if there exist unique outputs for all inputs. It means for each values of x there exist, a unique value of y.
In set A the value of y-coordinates are -5 and 7 at
.
At x=8, there exist more than one value of y, so the set A is not a function.
In set B the value of y-coordinates are -4 and -2 at
.
At x=7, there exist more than one value of y, so the set B is not a function.
Therefore neither A nor B represents a function and option 4 is correct.