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Statistics and Probability (STA301)

Subjective, Short Questions from Past Papers

 

Subjective Questions

Question

(Final Term, Marks = 2, Lesson No. )

Write down the name of methods/techniques that are used to present the quantitative discrete data.

Answer:

Question

(Final Term, Marks = 2, Lesson No. )

A coin is tossed 900 times and heads appear 490 times. State the null and alternative hypotheses to show that the coin is unbiased.

Answer:

Question

(Final Term, Marks = 2, Lesson No. )

Write down the names of two types of experimental designs.

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Question

(Final Term, Marks = 2, Lesson No. )

What are the mean and variance of binomial distribution?

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Question

(Final Term, Marks = 3, Lesson No. )

Find the probability of drawing a white ball from a bag containing 4 red, 8 black and 3 white balls.

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Question

(Final Term, Marks = 3, Lesson No. )

Write down the properties of sampling distribution of proportion \(\hat p\), when sampling is performed without replacement.

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Question

(Final Term, Marks = 3, Lesson No. )

If X = 225, n = 500, \(p_{o}\) = 0.60 then find the z-test statistic proportion.

Answer:

Question

(Final Term, Marks = 3, Lesson No. )

What is the impact of degrees of freedom on chi-square distribution.

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Question

(Final Term, Marks = 5, Lesson No. )

Find the quartile deviation for the data given below:
18, 53, 45, 28, 39, 29, 23, 40 and 21

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Question

(Final Term, Marks = 5, Lesson No. )

A population consists of N = 5 values 1, 2, 3, 5, 6. A sample size of n = 3 is selected from the population without replacement, calculate sampling distribution of sample proportions for even numbers.

Answer:

Question

(Final Term, Marks = 5, Lesson No. )

Write down the testing procedure in case of goodness of fit test.

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Question

(Final Term, Marks = 5, Lesson No. )

If we have n = 634 and \(\hat p\) = 0.459, where \(Z_{0.01 \over 2}\) = 2.58, then find the 99% confidence interval for population proportion.

Answer: