If the correlation coefficient between X and Y is equal to 1, then
Y = f (X)
Covariance between X and Y is equal 0
Covariance between X and Y is equal 1
Covariance between X and Y can be any real number
None of the above
Consider the following data: 5,7, 4, 5, 22, 6, 12, 9, 5, 6. The median is
5
8.1
6
6.5
5.5
Which of the following statements is correct regarding the percentile points
of the F-distribution?
F0.10, 8,15 = 1/ F0.90, 8,15
F0.90, 8,15= 1/ F0.10, 8,15
F0.10, 8,15 = 1/ F0.10, 8,15
F0.90, 8,15 = 1/ F0.90, 8,15
None of the above
If P(A) = 0.5 , P(B|A) = 0.35 , P(A ∪ B) = 0.72 , then P(B) =
0.52
0.35
0.18
0.04
None of the above
Which of the following sampling distributions in needed for the matched
pair comparison for means?
the chi-square distribution
the binomial distribution
the standard normal distribution
the t distribution
the F distribution
A population has a mean of 195 and a standard deviation of 30. A sample
of 100 observations will be taken. The probability that the mean from that
sample will be between 198 and 201 is
0.4772
0.3413
0.0228
0.1587
0.1359
The variation of a distribution can be measured by
mean
median
range
variance
standard deviation
Let X have a Bernoulli distribution with p = 0.4 and Y have a
Poisson distribution with mean = 3. Let X and Y are independent.
Then
E(X +Y ) = 3.4
E(10X −Y ) = 1
Var(Y ) = 9
Var(Y − X) = 2.76
Cov(X,Y ) = 0
Select correct items about testing H0 : μ = μ0 versus H1 : μ ≠ μ0 for a
normal population mean μ at α level of significance:
Reject H0 if the 100 (1 −α )% confidence interval for μ does not
include μ0 .
Pr(Critical region| H0 ) =α
Pr(critical region |H1 ) = Pr(Type II error)
Pr(accept H0 |H1 ) = the power
Pr(reject H0 |H0 ) = p-value
Which are not the nominal variables among the following demographic
variables?
ages
living areas
sexes
heights
occupations
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