Probability of Sample Variance in Normal Distribution
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Questions and Answers

What is the probability of obtaining a sample variance S^2 between 3.462 and 10.745 from a random sample of 25 observations?

0.95

What type of distribution is used to calculate the probability of obtaining a sample variance within a certain range?

Chi-square distribution

How does the population variance affect the calculation of the probability for the sample variance?

It directly affects the chi-square distribution used to calculate the probability.

What is the probability of obtaining a sample variance S^2 between 3.462 and 10.745 from a random sample of 25 observations?

<p>0.95</p> Signup and view all the answers

How does the size of the random sample affect the probability of obtaining a sample variance within a certain range?

<p>The probability decreases as the sample size increases.</p> Signup and view all the answers

What is the impact of the population variance on the probability of obtaining a sample variance within a certain range?

<p>A larger population variance leads to a higher probability of obtaining extreme sample variances.</p> Signup and view all the answers

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