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Students you know these are Statistics and Probability MCQs for the virtual university students who have this book STA301 and their students looking for the Final term MCQs.

**STA301 Final Term** **Solved MCQs**

Post Topic | Solved MCQs |

Book Code | STA301 |

FinalTerm/MidTerm | FinalTerm |

University | Virtual University |

## STA301 Solved MCQs For Final Term

1: A failing student is passed by an examiner. It is an example of:

No information regarding student exams

Type I error**Type II error**Correct decision

2: A confidence interval has a specified probability_ of containing the true value of the parameter.

α**1-a**1+a

a/2

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

Both of these**Var(mean)<Var(median)**None of these

Var(median)< Var(median)

4: An estimator is always a:

Random variable**Statistic and Random variable**Statistic

Parameter

5: To test the hypothesis about the difference of means for large samples, what test statistic will be used?

F

T**Z**

Chi-square

6: If a significance level of 5% is used rather than 1%, the r II hypothesis is:

None of these

Just as likely to be rejected

Less likely to be rejected**More likely to be rejected**

7: The test statistic to test the U1 = U2 (U represents the mean of the population)for a normal population when n>30

T-Test

F-Test

All of Above**Z-Test**

8: The total no. of possible samples of size 2 (without replacement) from the population of size 6, will be:

10

18

20**15**

9: ……………are equivalent.

Type-II error and Level of confidence**Type-I error and Level of significance**Type-I error and Level of confidence

Type-II error and Level of significance

10: The test statistic is used to decide whether to hull the hypothesis.

None of these

Reject**Accept or Reject**Accept

11: An estimator is said to be efficient if it has

None of these

Unbiased estimate**Both (a) & (b)**Smallest Variance

12: In general, the estimators obtained by the method of moments are…………

**Inefficient**All the above

Biased

Inconsistent

13: A statistic whose standard deviation decreases with an increase in sample size will be called:

Sufficient

Unbiased

Efficient**Consistent**

14: For a particular hypothesis test, Alpha=0.09 and |Beta=0.03, what is the value of Type I error?

0.91**0.09**

0.03

0.97

15: From which of the following methods we can obtain a point estimate of the population parameters?

Maximum Likelihood Method**All of the above**Method of Moments

Method of Least Squares

16: A random sample of n=25 values gives a sample mean of 83. Can this sample be regarded as drawn from a normal population with μ= 80 and s= 7? In this question the alternative hypothesis will be:

H1: μ = 80**H1: μ> 80**H1: μ 80

H1: μ <80

17: Consider a large population with a mean of 160 and a standard deviation of 20. A random sample of size 64 is taken from this population. What is the standard deviation of the sample mean?

**2.500**3.125

1.654

3.568

18: The standard deviation of the sampling distribution of proportion is:

n/p

P

q/n**✓(pq/n)**

19: For a particular hypothesis test, Alpha=0.07 and Beta=0.05. What is the level of significance?

0.05

0.93**0.07**

0.95

20: The relative efficiency of T1 compared to T2 where:

T1 is an unbiased estimator

T2 is an unbiased estimator

both T1 and T2 are unbiased estimators

both T1 and T2 are biased estimators

21: If we are testing HO: mean = 50 against H1: mean < 50 then the rejection region will be

on both sides

on the right side of the mean

in the center**on the left side of the mean**

22: Conventionally, the probability of making a type-l error is denoted by which of the following symbols?

**a (alpha)**s (sigma)

B (beta)

? (theta)

23: How can we interpret the 90% confidence interval for the mean of the normal population?

There are 10% chance of falling true value of the O parameter

There are 100% chances of falling true value of the O parameter**There is a 90% chance of falling the true parameter**There are 90% chance of falling true value of the O parameter

24: Ideally, the width of the confidence interval should be

98

100**0**1

25: Total no. of possible samples of size 3 (with replacement from the population of size 6, will be:

196

256**216**

325

26: Interval estimation and confidence interval are:

**Same**

Independent

Different

Opposite

27: If a significance level of 10 % is used rather than 5%, the ll hypothesis is:

None of these

More likely to be rejected

Just as likely to be rejected**Less likely to be rejected**

28: A quantity obtained by applying the Cestnin rule or formal is known as a

**Estimate**Parameter

Estimator

Proportion

29: From which of the following methods we can obtain an estimate of the population parameters?

Method of Least Squares**All of the above**Method of Moments

Maximum Likelihood Method

30: A standard deviation obtained from the sampling distribution of sample statistics is known as

Universal error**Standard error**Minimum error

Sampling error

**Conclusion**

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