Sta301 - Statistics and Probability Final Term Solved Past Paper 2021

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Question No 1:

The number of value (Raise For Success) that are free to vary after we have placed certain restrictions upon the data is called?

• Degree of freedom Correct
• Confidence co-efficient
• Number of parameters
• Number of samples

Question No 2:

The central limit (Raise For Success) theorem assures us that the sampling distribution of the mean.

• It always normal
• Approaches normality as sample size increase Correct
• Approaches normality as sample size
• Appear normal only when N is greater than 100

Question No 3:

A sample of size n is (Raise For Success) called a small sample if n is _____

• Less than 30 Correct
• Greater than or equal to 30
• Equal to 30
• Less than or equal to 30

Question No 4: 

The shape of the (Raise For Success) T-distribution depends upon the ____

• Sample size
• Population size
• Parameters
• Degree of freedom Correct

Question No 5:

The equality (Raise For Success) condition always appears in ____

• Null hypothesis Correct
• Simple hypothesis
• Alternative hypothesis
• Both A and B

Question No 6:

The main objective (raiseforsuccess.blogspot.com) of non-central distribution is?

• To minimize variance
• Testing of hypothesis Correct
• To increase variance
• None of these

Question No 7:

An expected value (Raise For Success) of a random variable is equal to its _____.

• Variance
• Standard Deviation
• Mean Correct
• Covariances

Question No 8:

E (8X + 20) (raiseforsuccess.blogspot.com) = _______

• 16E(X)
• 8E(X) + 20 Correct
• 8X + 20
• 20E(X) + 20

Question No 9:

A statistic is an (raiseforsuccess.blogspot.com) unbiased estimator of a parameter if?

• E=(Statistics)=Parameter Correct
• E(Mean)=Variance
• E(Variance)=Mean
• E(Sample Mean)=Proportion

Question No 10:

Hypergeometric (Raise For Success) probability distribution has?

• (n,k) parameter
• (N) parameter
• (N,n, N-k) parameter
• (N,n,k) parameter Correct

Question No 11:

In a binominal experiment (raiseforsuccess.blogspot.com) the total number of trails are?

• Fixed in advance Correct
• Changeable according to situation
• Unpredictable
• Not independent

Question No 12:

In case of a 3x3 (Raise For Success) contingency table what is the value of degree of freedom?

• 2
• 4
• 6
• 9

Question No 13:

To find the confidence (Raise For Success) interval for the ratio of two variance we use?

• F-Distribution
• Z-Distribution
• Chi-Square Distribution
• T-Distribution

Question No 14:

Ideally the width (raiseforsuccess.blogspot.com) of confidence interval should be _______

• 0
• 1
• 99 Correct
• 100

Question No 15:

If E(x)=4 (raiseforsuccess.blogspot.com) than find the E(2x+5)?
Answer:
E(x)=4
E(2X (Raise For Success) +5)=?
=2E(X) = 5
=2(4) + 5
=8 + 5
=13

Question No 16:

Write down the testing (raiseforsuccess.blogspot.com) procedure in case of goodness of fit test?

Answer:

The goodness of fit test is a statistical hypothesis test to see how well sample data fit a distribution from a population with a (Raise For Success) normal distribution. Put differently this test shows if your sample data represents the data you would expect to find in the actual population or if it is somehow skewed.

Question No 17:

Briefly discuss about (Raise For Success) natural pairing in T-distribution?

Answer:

The paired T-test provides a hypothesis test of the difference between population means for a pair of random samples whose differences are approximately normally distributed. Paired data is where natural matching or coupling (raiseforsuccess.blogspot.com) is possible. Generally, this would be data sets where every data point in one independent sample would be paired uniquely to a data point in another independent sample.

Question No 18:

A population consist of N=4 values 4,6,8,9. A sample size of n=3 is selected (Raise For Success) from the population without replacement calculate mean and variance of proportion for odd numbers?

Answer: