In general sample variance is a/an ........estimator?

• A) none of these
• B) Consistent
• C) Biased
• D) Unbiased

How can we interpret the 90% confidence interval for the mean of the normal population.

• A) There are 10% chances of falling true value of the parameter
• B) There are 90% chances of falling true value of the parameter
• C) All are correct
• D) There are 100% chances of falling true value of the parameter

Which of the following statements about confidence intervals is inaccurate?

• A) If we keep the sample size fixed, the confidence interval gets wider as we increase the con?dence coefficient
• B) If the population standard deviation increases, the confidence interval decreases in width
• C) A confidence interval for a mean always contains the sample mean
• D) If we keep the confidence coefficient fixed, the confidence interval gets narrower as we increase the sample size

If Var(T1) >Var(T2) ,where T1 and T2 are two unbiased estimators ,then:

• A) T2 is more efficient
• B) T1 is more efficient
• C) T2 is more consistent
• D) T1 is more consistent

If we have the following information,
P= 0.16, q = 0.84, Z=1.96 and e = 0.05, then sample size will be:

• A) 207
• B) 199
• C) 200
• D) 205

In case of sampling with replacement from two infinite populations, the standard deviation of the sampling distribution of bar X1 - bar X2 standard error of bar X1 - bar X2 denoted by:

• A) √((б1)2/n1)+ (б2)2/n2
• B) 1/n
• C) √((б1-б2)/n)
• D) √((б1+б2)/n)

A confidence interval has a specified probability__________ of containing the true value of the parameter.

• A) α
• B) 1-α
• C) α/2
• D) 1+α

In sampling without replacement; fpc is used when:

• A) None of the above
• B) n>0.05N
• C) n=0.05N
• D) n<0.05N

Which one of the statement is true?

• A) E (S2) ≠ s2
• B) E (s2) = б2
• C) E (s2) = б2/n
• D) E (S2) = s2/n

"A failed student was passed by the examiner", is an example of:

• A) Type-IV error
• B) Type-I error
• C) Type-III error
• D) Type-II error

We can apply method of Maximum Likelihood on:

• A) Continuous variables only
• B) Qualitative variables only
• C) Discrete as well as continuous variables
• D) Discrete variables only

In interval estimation we obtained a ……of values as an estimate of parameter.

• A) Range
• B) None of these
• C) Group
• D) Both a and b

In a random sample of 500 men from Lahore city, 300 are found to be smokers; the proportion of smokers is equal to:

• A) 0.6
• B) 0.5
• C) 0.4
• D) 0.3

Which of the following relationship exist between sampling distribution of samples mean and sampling distribution samples median?

• A) Both of these
• B) None of these
• C) Var(median)< Var(median)
• D) Var(mean)<Var(median)

To determine a sample size which test we use ……….

• A) t
• B) None of these
• C) F
• D) z

The mean of the sampling distribution of difference of means is represented by:

• A) µ1 -µ 2
• B) None of above
• C) µ
• D) б

In a Poisson distribution, Maximum Likelihood Estimator (MLE) for meu (u) is equal to:

• A) Reciprocal of the sample variance
• B) Sample variance
• C) Sample mean
• D) Reciprocal of the mean

When an interval is constructed, what is the probability of occurrence of parameter in it?

• A) 1
• B) Either 1 or 0
• C) 0
• D) 50

A random sample of n = 6 has the elements 6, 10,13,14,18 and 20. What is the point estimate of the population mean?

• A) 13.5
• B) 11.5
• C) 12
• D) 11

___________ are equivalent.

• A) Type-I error and Level of significance
• B) Type-II error and Level of confidence
• C) Type-II error and Level of significance
• D) Type-I error and Level of confidence